{"id":69043,"date":"2026-05-06T02:30:51","date_gmt":"2026-05-05T23:30:51","guid":{"rendered":"https:\/\/twodots.gr\/?p=69043"},"modified":"2026-05-06T02:39:00","modified_gmt":"2026-05-05T23:39:00","slug":"ypogegrammenoi-ypogegrammenoi-dyadikoi-arithmoi-meros","status":"publish","type":"post","link":"https:\/\/twodots.gr\/en\/ypogegrammenoi-ypogegrammenoi-dyadikoi-arithmoi-meros\/","title":{"rendered":"Unsigned signed binary numbers part"},"content":{"rendered":"<h2>Binary Numbers: \u03b1\u03c0\u03cc \u03c4\u03b7 \u03b8\u03b5\u03c9\u03c1\u03af\u03b1 \u03c4\u03c9\u03bd bits \u03c3\u03c4\u03b7\u03bd \u03ba\u03b1\u03b8\u03b7\u03bc\u03b5\u03c1\u03b9\u03bd\u03cc\u03c4\u03b7\u03c4\u03b1 \u03b5\u03bd\u03cc\u03c2 e-shop<\/h2><p>\u03a4\u03bf \u03ac\u03c1\u03b8\u03c1\u03bf \u03c4\u03bf\u03c5 DesignNews \u03b3\u03b9\u03b1 \u03c4\u03b1 unsigned \u03ba\u03b1\u03b9 signed binary numbers \u03b5\u03be\u03b7\u03b3\u03b5\u03af \u03bc\u03b9\u03b1 \u03c6\u03b1\u03b9\u03bd\u03bf\u03bc\u03b5\u03bd\u03b9\u03ba\u03ac \u00ab\u03c7\u03b1\u03bc\u03b7\u03bb\u03bf\u03cd \u03b5\u03c0\u03b9\u03c0\u03ad\u03b4\u03bf\u03c5\u00bb \u03ad\u03bd\u03bd\u03bf\u03b9\u03b1 \u03c4\u03b7\u03c2 \u03b7\u03bb\u03b5\u03ba\u03c4\u03c1\u03bf\u03bd\u03b9\u03ba\u03ae\u03c2 \u03ba\u03b1\u03b9 \u03c4\u03b7\u03c2 \u03c0\u03bb\u03b7\u03c1\u03bf\u03c6\u03bf\u03c1\u03b9\u03ba\u03ae\u03c2: \u03c0\u03ce\u03c2 \u03ad\u03bd\u03b1\u03c2 \u03c5\u03c0\u03bf\u03bb\u03bf\u03b3\u03b9\u03c3\u03c4\u03ae\u03c2 \u03b5\u03c1\u03bc\u03b7\u03bd\u03b5\u03cd\u03b5\u03b9 \u03b1\u03ba\u03bf\u03bb\u03bf\u03c5\u03b8\u03af\u03b5\u03c2 \u03b1\u03c0\u03cc 0 \u03ba\u03b1\u03b9 1 \u03c9\u03c2 \u03b1\u03c1\u03b9\u03b8\u03bc\u03bf\u03cd\u03c2, \u03ac\u03bb\u03bb\u03bf\u03c4\u03b5 \u03bc\u03cc\u03bd\u03bf \u03b8\u03b5\u03c4\u03b9\u03ba\u03bf\u03cd\u03c2 \u03ba\u03b1\u03b9 \u03ac\u03bb\u03bb\u03bf\u03c4\u03b5 \u03b8\u03b5\u03c4\u03b9\u03ba\u03bf\u03cd\u03c2 \u03ba\u03b1\u03b9 \u03b1\u03c1\u03bd\u03b7\u03c4\u03b9\u03ba\u03bf\u03cd\u03c2. \u0393\u03b9\u03b1 \u03ad\u03bd\u03b1\u03bd \u03b9\u03b4\u03b9\u03bf\u03ba\u03c4\u03ae\u03c4\u03b7 e-shop, \u03b1\u03c5\u03c4\u03cc \u03bc\u03c0\u03bf\u03c1\u03b5\u03af \u03bd\u03b1 \u03b1\u03ba\u03bf\u03cd\u03b3\u03b5\u03c4\u03b1\u03b9 \u03bc\u03b1\u03ba\u03c1\u03b9\u03ac \u03b1\u03c0\u03cc \u03c4\u03b9\u03c2 \u03c0\u03c9\u03bb\u03ae\u03c3\u03b5\u03b9\u03c2, \u03c4\u03bf conversion rate \u03ae \u03c4\u03b7\u03bd \u03b1\u03c0\u03bf\u03b8\u03ae\u03ba\u03b7. \u03a3\u03c4\u03b7\u03bd \u03c0\u03c1\u03ac\u03be\u03b7, \u03cc\u03bc\u03c9\u03c2, \u03c4\u03b1 Binary Numbers \u03b2\u03c1\u03af\u03c3\u03ba\u03bf\u03bd\u03c4\u03b1\u03b9 \u03c0\u03af\u03c3\u03c9 \u03b1\u03c0\u03cc \u03ba\u03ac\u03b8\u03b5 \u03c4\u03b9\u03bc\u03ae \u03c0\u03c1\u03bf\u03ca\u03cc\u03bd\u03c4\u03bf\u03c2, \u03ba\u03ac\u03b8\u03b5 \u03b4\u03b9\u03b1\u03b8\u03ad\u03c3\u03b9\u03bc\u03bf \u03b1\u03c0\u03cc\u03b8\u03b5\u03bc\u03b1, \u03ba\u03ac\u03b8\u03b5 ID \u03c0\u03b1\u03c1\u03b1\u03b3\u03b3\u03b5\u03bb\u03af\u03b1\u03c2, \u03ba\u03ac\u03b8\u03b5 \u03b5\u03c0\u03b9\u03c3\u03c4\u03c1\u03bf\u03c6\u03ae \u03c7\u03c1\u03b7\u03bc\u03ac\u03c4\u03c9\u03bd, \u03ba\u03ac\u03b8\u03b5 API integration \u03bc\u03b5 ERP e-commerce \u03ba\u03b1\u03b9 \u03ba\u03ac\u03b8\u03b5 \u03b1\u03bd\u03b1\u03c6\u03bf\u03c1\u03ac \u03c0\u03bf\u03c5 \u03c0\u03b5\u03c1\u03bd\u03ac \u03b1\u03c0\u03cc \u03c4\u03b7 \u03b2\u03ac\u03c3\u03b7 \u03b4\u03b5\u03b4\u03bf\u03bc\u03ad\u03bd\u03c9\u03bd \u03c3\u03c4\u03bf dashboard.<\/p><p>\u03a4\u03bf \u03ba\u03c1\u03af\u03c3\u03b9\u03bc\u03bf \u03c3\u03b7\u03bc\u03b5\u03af\u03bf \u03b5\u03af\u03bd\u03b1\u03b9 \u03cc\u03c4\u03b9 \u03c4\u03bf \u03af\u03b4\u03b9\u03bf \u03bc\u03bf\u03c4\u03af\u03b2\u03bf bits \u03bc\u03c0\u03bf\u03c1\u03b5\u03af \u03bd\u03b1 \u03c3\u03b7\u03bc\u03b1\u03af\u03bd\u03b5\u03b9 \u03b4\u03b9\u03b1\u03c6\u03bf\u03c1\u03b5\u03c4\u03b9\u03ba\u03cc \u03b1\u03c1\u03b9\u03b8\u03bc\u03cc, \u03b1\u03bd\u03ac\u03bb\u03bf\u03b3\u03b1 \u03bc\u03b5 \u03c4\u03bf \u03b1\u03bd \u03c4\u03bf \u03c3\u03cd\u03c3\u03c4\u03b7\u03bc\u03b1 \u03c4\u03bf \u03b1\u03bd\u03c4\u03b9\u03bc\u03b5\u03c4\u03c9\u03c0\u03af\u03b6\u03b5\u03b9 \u03c9\u03c2 unsigned binary numbers \u03ae \u03c9\u03c2 signed binary numbers. \u0388\u03bd\u03b1 8-bit \u03c0\u03b5\u03b4\u03af\u03bf, \u03b3\u03b9\u03b1 \u03c0\u03b1\u03c1\u03ac\u03b4\u03b5\u03b9\u03b3\u03bc\u03b1, \u03bc\u03c0\u03bf\u03c1\u03b5\u03af \u03c9\u03c2 unsigned \u03bd\u03b1 \u03b5\u03ba\u03c6\u03c1\u03ac\u03c3\u03b5\u03b9 \u03c4\u03b9\u03bc\u03ad\u03c2 \u03b1\u03c0\u03cc 0 \u03ad\u03c9\u03c2 255, \u03b5\u03bd\u03ce \u03c9\u03c2 signed \u03bc\u03b5 two&#8217;s complement \u03b5\u03ba\u03c6\u03c1\u03ac\u03b6\u03b5\u03b9 \u03c4\u03b9\u03bc\u03ad\u03c2 \u03b1\u03c0\u03cc -128 \u03ad\u03c9\u03c2 127. \u0397 \u03b4\u03b9\u03b1\u03c6\u03bf\u03c1\u03ac \u03b4\u03b5\u03bd \u03b5\u03af\u03bd\u03b1\u03b9 \u03b1\u03ba\u03b1\u03b4\u03b7\u03bc\u03b1\u03ca\u03ba\u03ae. \u0391\u03bd \u03ad\u03bd\u03b1 \u03b1\u03c0\u03cc\u03b8\u03b5\u03bc\u03b1, \u03ad\u03bd\u03b1 customer ID \u03ae \u03ad\u03bd\u03b1 \u03c0\u03bf\u03c3\u03cc \u03ad\u03ba\u03c0\u03c4\u03c9\u03c3\u03b7\u03c2 \u03c0\u03b5\u03c1\u03ac\u03c3\u03b5\u03b9 \u03b1\u03c0\u03cc \u03ad\u03bd\u03b1 \u03c3\u03cd\u03c3\u03c4\u03b7\u03bc\u03b1 \u03c3\u03b5 \u03ac\u03bb\u03bb\u03bf \u03bc\u03b5 \u03bb\u03ac\u03b8\u03bf\u03c2 data types, \u03bc\u03c0\u03bf\u03c1\u03b5\u03af \u03bd\u03b1 \u03b5\u03bc\u03c6\u03b1\u03bd\u03b9\u03c3\u03c4\u03b5\u03af \u03b1\u03c1\u03bd\u03b7\u03c4\u03b9\u03ba\u03ae \u03c0\u03bf\u03c3\u03cc\u03c4\u03b7\u03c4\u03b1, \u03bb\u03b1\u03bd\u03b8\u03b1\u03c3\u03bc\u03ad\u03bd\u03b7 \u03c7\u03c1\u03ad\u03c9\u03c3\u03b7, \u03b1\u03c0\u03bf\u03c4\u03c5\u03c7\u03b7\u03bc\u03ad\u03bd\u03bf payment systems reconciliation \u03ae \u03b1\u03bd\u03b5\u03be\u03ae\u03b3\u03b7\u03c4\u03bf bug \u03c3\u03c4\u03bf checkout.<\/p><p>\u038c\u03c0\u03c9\u03c2 \u03c6\u03b1\u03af\u03bd\u03b5\u03c4\u03b1\u03b9 \u03c3\u03c4\u03bf \u03c0\u03b1\u03c1\u03b1\u03ba\u03ac\u03c4\u03c9 \u03b3\u03c1\u03ac\u03c6\u03b7\u03bc\u03b1, \u03b7 \u03b5\u03c0\u03b9\u03bb\u03bf\u03b3\u03ae signed \u03ae unsigned \u03b1\u03bb\u03bb\u03ac\u03b6\u03b5\u03b9 \u03b4\u03c1\u03b1\u03c3\u03c4\u03b9\u03ba\u03ac \u03c4\u03b7 \u03bc\u03ad\u03b3\u03b9\u03c3\u03c4\u03b7 \u03b8\u03b5\u03c4\u03b9\u03ba\u03ae \u03c4\u03b9\u03bc\u03ae \u03c0\u03bf\u03c5 \u03bc\u03c0\u03bf\u03c1\u03b5\u03af \u03bd\u03b1 \u03b1\u03c0\u03bf\u03b8\u03b7\u03ba\u03b5\u03c5\u03c4\u03b5\u03af \u03c3\u03c4\u03bf\u03bd \u03af\u03b4\u03b9\u03bf \u03b1\u03c1\u03b9\u03b8\u03bc\u03cc bits. \u03a4\u03b1 \u03b4\u03b5\u03b4\u03bf\u03bc\u03ad\u03bd\u03b1 \u03c0\u03c1\u03bf\u03ba\u03cd\u03c0\u03c4\u03bf\u03c5\u03bd \u03b1\u03c0\u03cc \u03c4\u03bf\u03c5\u03c2 \u03c4\u03c5\u03c0\u03b9\u03ba\u03bf\u03cd\u03c2 \u03c4\u03cd\u03c0\u03bf\u03c5\u03c2 \u03c5\u03c0\u03bf\u03bb\u03bf\u03b3\u03b9\u03c3\u03bc\u03bf\u03cd: unsigned \u03bc\u03ad\u03b3\u03b9\u03c3\u03c4\u03bf 2^n &#8211; 1 \u03ba\u03b1\u03b9 signed two&#8217;s complement \u03bc\u03ad\u03b3\u03b9\u03c3\u03c4\u03bf 2^(n-1) &#8211; 1.<\/p>\n<style>\n.td-chart-mgisti-thetik-tim-an-bit-depth {\n  max-width: 100%;\n  background: #FFFFFF;\n  border-radius: 12px;\n  box-shadow: 0 4px 20px rgba(3,6,51,0.08);\n  padding: 28px;\n  margin: 32px 0;\n  border: 1px solid #E5E5E5;\n  color: #030633;\n}\n.td-chart-mgisti-thetik-tim-an-bit-depth * { box-sizing: border-box; transition: 0.2s ease; }\n.td-chart-mgisti-thetik-tim-an-bit-depth-header h3 {\n  font-size: 22px;\n  font-weight: 700;\n  color: #030633;\n  letter-spacing: -0.01em;\n  margin: 0 0 6px 0;\n}\n.td-chart-mgisti-thetik-tim-an-bit-depth-header p {\n  font-size: 14px;\n  font-weight: 400;\n  color: #555555;\n  margin: 0 0 24px 0;\n}\n@media (max-width: 768px) {\n  .td-chart-mgisti-thetik-tim-an-bit-depth { padding: 22px; }\n}\n@media (max-width: 480px) {\n  .td-chart-mgisti-thetik-tim-an-bit-depth { padding: 18px; }\n  .td-chart-mgisti-thetik-tim-an-bit-depth-header h3 { font-size: 19px; }\n  .td-chart-mgisti-thetik-tim-an-bit-depth-header p { font-size: 13px; }\n}\n.td-chart-mgisti-thetik-tim-an-bit-depth-bar-body {\n  min-height: 290px;\n  display: flex;\n  align-items: flex-end;\n  gap: 18px;\n  border-bottom: 2px solid #030633;\n  padding: 18px 8px 0;\n}\n.td-chart-mgisti-thetik-tim-an-bit-depth-bar-item {\n  flex: 1;\n  min-width: 74px;\n  height: 250px;\n  display: flex;\n  flex-direction: column;\n  align-items: center;\n  justify-content: flex-end;\n  gap: 8px;\n}\n.td-chart-mgisti-thetik-tim-an-bit-depth-value {\n  font-size: 14px;\n  font-weight: 600;\n  color: #030633;\n}\n.td-chart-mgisti-thetik-tim-an-bit-depth-bar {\n  width: 48px;\n  max-height: 220px;\n  border-radius: 8px 8px 0 0;\n}\n.td-chart-mgisti-thetik-tim-an-bit-depth-bar:hover { background: #030633; }\n.td-chart-mgisti-thetik-tim-an-bit-depth-label {\n  min-height: 38px;\n  font-size: 13px;\n  color: #555555;\n  text-align: center;\n}\n.td-chart-mgisti-thetik-tim-an-bit-depth-bar-0 { height: 0.0%; background: #FCA311; }\n.td-chart-mgisti-thetik-tim-an-bit-depth-bar-1 { height: 0.0%; background: #030633; }\n.td-chart-mgisti-thetik-tim-an-bit-depth-bar-2 { height: 100.0%; background: #FED7AA; }\n@media (max-width: 768px) {\n  .td-chart-mgisti-thetik-tim-an-bit-depth-bar-body { gap: 10px; overflow-x: auto; }\n  .td-chart-mgisti-thetik-tim-an-bit-depth-bar-item { min-width: 68px; }\n}\n@media (max-width: 480px) {\n  .td-chart-mgisti-thetik-tim-an-bit-depth-bar { width: 36px; }\n  .td-chart-mgisti-thetik-tim-an-bit-depth-label { font-size: 12px; }\n}\n<\/style>\n<div class=\"td-chart-mgisti-thetik-tim-an-bit-depth\" role=\"img\" aria-label=\"\u0393\u03c1\u03ac\u03c6\u03b7\u03bc\u03b1: \u039c\u03ad\u03b3\u03b9\u03c3\u03c4\u03b7 \u0398\u03b5\u03c4\u03b9\u03ba\u03ae \u03a4\u03b9\u03bc\u03ae \u03b1\u03bd\u03ac Bit Depth\">\n  <div class=\"td-chart-mgisti-thetik-tim-an-bit-depth-header\">\n    <h3>\u039c\u03ad\u03b3\u03b9\u03c3\u03c4\u03b7 \u0398\u03b5\u03c4\u03b9\u03ba\u03ae \u03a4\u03b9\u03bc\u03ae \u03b1\u03bd\u03ac Bit Depth<\/h3>\n    <p>\u03a0\u03b7\u03b3\u03ae: DesignNews \u03ba\u03b1\u03b9 \u03c4\u03c5\u03c0\u03b9\u03ba\u03bf\u03af \u03c4\u03cd\u03c0\u03bf\u03b9 \u03b4\u03c5\u03b1\u03b4\u03b9\u03ba\u03ae\u03c2 \u03b1\u03bd\u03b1\u03c0\u03b1\u03c1\u03ac\u03c3\u03c4\u03b1\u03c3\u03b7\u03c2 2^n &#8211; 1 \u03ba\u03b1\u03b9 2^(n-1) &#8211; 1<\/p>\n  <\/div>\n  <div class=\"td-chart-mgisti-thetik-tim-an-bit-depth-body td-chart-mgisti-thetik-tim-an-bit-depth-bar-body\">\n    <div class=\"td-chart-mgisti-thetik-tim-an-bit-depth-bar-item\">\n      <div class=\"td-chart-mgisti-thetik-tim-an-bit-depth-value\">255\u03c4\u03b9\u03bc\u03ae<\/div>\n      <div class=\"td-chart-mgisti-thetik-tim-an-bit-depth-bar td-chart-mgisti-thetik-tim-an-bit-depth-bar-0\" role=\"meter\" aria-valuenow=\"255\" aria-valuemin=\"0\" aria-valuemax=\"4.29497e+09\"><\/div>\n      <div class=\"td-chart-mgisti-thetik-tim-an-bit-depth-label\">8-bit<\/div>\n    <\/div>\n    <div class=\"td-chart-mgisti-thetik-tim-an-bit-depth-bar-item\">\n      <div class=\"td-chart-mgisti-thetik-tim-an-bit-depth-value\">65535\u03c4\u03b9\u03bc\u03ae<\/div>\n      <div class=\"td-chart-mgisti-thetik-tim-an-bit-depth-bar td-chart-mgisti-thetik-tim-an-bit-depth-bar-1\" role=\"meter\" aria-valuenow=\"65535\" aria-valuemin=\"0\" aria-valuemax=\"4.29497e+09\"><\/div>\n      <div class=\"td-chart-mgisti-thetik-tim-an-bit-depth-label\">16-bit<\/div>\n    <\/div>\n    <div class=\"td-chart-mgisti-thetik-tim-an-bit-depth-bar-item\">\n      <div class=\"td-chart-mgisti-thetik-tim-an-bit-depth-value\">4.29497e+09\u03c4\u03b9\u03bc\u03ae<\/div>\n      <div class=\"td-chart-mgisti-thetik-tim-an-bit-depth-bar td-chart-mgisti-thetik-tim-an-bit-depth-bar-2\" role=\"meter\" aria-valuenow=\"4.29497e+09\" aria-valuemin=\"0\" aria-valuemax=\"4.29497e+09\"><\/div>\n      <div class=\"td-chart-mgisti-thetik-tim-an-bit-depth-label\">32-bit<\/div>\n    <\/div>\n  <\/div>\n<\/div>\n<h2>\u0393\u03b9\u03b1\u03c4\u03af \u03b7 \u03b4\u03b9\u03b1\u03c6\u03bf\u03c1\u03ac signed \u03ba\u03b1\u03b9 unsigned \u03b1\u03c6\u03bf\u03c1\u03ac \u03ac\u03bc\u03b5\u03c3\u03b1 \u03c4\u03bf\u03c5\u03c2 \u03b9\u03b4\u03b9\u03bf\u03ba\u03c4\u03ae\u03c4\u03b5\u03c2 e-shop<\/h2><p>\u0388\u03bd\u03b1 \u03c3\u03cd\u03b3\u03c7\u03c1\u03bf\u03bd\u03bf \u03b7\u03bb\u03b5\u03ba\u03c4\u03c1\u03bf\u03bd\u03b9\u03ba\u03cc \u03ba\u03b1\u03c4\u03ac\u03c3\u03c4\u03b7\u03bc\u03b1 \u03b4\u03b5\u03bd \u03b5\u03af\u03bd\u03b1\u03b9 \u03b1\u03c0\u03bb\u03ce\u03c2 \u03bc\u03b9\u03b1 \u03b2\u03b9\u03c4\u03c1\u03af\u03bd\u03b1 \u03c0\u03c1\u03bf\u03ca\u03cc\u03bd\u03c4\u03c9\u03bd. \u0395\u03af\u03bd\u03b1\u03b9 \u03ad\u03bd\u03b1 \u03c3\u03cd\u03c3\u03c4\u03b7\u03bc\u03b1 \u03c0\u03bf\u03c5 \u03c3\u03c5\u03bd\u03b4\u03ad\u03b5\u03b9 \u03c0\u03bb\u03b1\u03c4\u03c6\u03cc\u03c1\u03bc\u03b5\u03c2 e-commerce, \u03b2\u03ac\u03c3\u03b5\u03b9\u03c2 \u03b4\u03b5\u03b4\u03bf\u03bc\u03ad\u03bd\u03c9\u03bd, ERP, courier APIs, \u03c4\u03c1\u03ac\u03c0\u03b5\u03b6\u03b5\u03c2, \u03c0\u03b1\u03c1\u03cc\u03c7\u03bf\u03c5\u03c2 \u03c0\u03bb\u03b7\u03c1\u03c9\u03bc\u03ce\u03bd, marketing automation, \u03b5\u03c1\u03b3\u03b1\u03bb\u03b5\u03af\u03b1 analytics \u03ba\u03b1\u03b9 \u03c3\u03c5\u03c3\u03c4\u03ae\u03bc\u03b1\u03c4\u03b1 \u03c4\u03b9\u03bc\u03bf\u03bb\u03cc\u03b3\u03b7\u03c3\u03b7\u03c2. \u039a\u03ac\u03b8\u03b5 \u03c3\u03cd\u03bd\u03b4\u03b5\u03c3\u03b7 \u03bc\u03b5\u03c4\u03b1\u03c6\u03ad\u03c1\u03b5\u03b9 \u03b1\u03c1\u03b9\u03b8\u03bc\u03b7\u03c4\u03b9\u03ba\u03ac \u03b4\u03b5\u03b4\u03bf\u03bc\u03ad\u03bd\u03b1. \u03a4\u03bf inventory management \u03c3\u03c4\u03ad\u03bb\u03bd\u03b5\u03b9 \u03b4\u03b9\u03b1\u03b8\u03ad\u03c3\u03b9\u03bc\u03b5\u03c2 \u03c0\u03bf\u03c3\u03cc\u03c4\u03b7\u03c4\u03b5\u03c2. \u03a4\u03bf ERP \u03b5\u03bd\u03b7\u03bc\u03b5\u03c1\u03ce\u03bd\u03b5\u03b9 \u03c4\u03b9\u03bc\u03ad\u03c2, \u03a6\u03a0\u0391 \u03ba\u03b1\u03b9 \u03b5\u03ba\u03c0\u03c4\u03ce\u03c3\u03b5\u03b9\u03c2. \u03a4\u03bf payment gateway \u03b5\u03c0\u03b9\u03c3\u03c4\u03c1\u03ad\u03c6\u03b5\u03b9 \u03c0\u03bf\u03c3\u03ac \u03c3\u03c5\u03bd\u03b1\u03bb\u03bb\u03b1\u03b3\u03ce\u03bd, fees, refunds \u03ba\u03b1\u03b9 authorization codes. \u0397 \u03b2\u03ac\u03c3\u03b7 \u03b4\u03b5\u03b4\u03bf\u03bc\u03ad\u03bd\u03c9\u03bd \u03b1\u03c0\u03bf\u03b8\u03b7\u03ba\u03b5\u03cd\u03b5\u03b9 IDs, timestamps \u03ba\u03b1\u03b9 counters. \u038c\u03bb\u03b1 \u03b1\u03c5\u03c4\u03ac, \u03c3\u03b5 \u03c4\u03b5\u03c7\u03bd\u03b9\u03ba\u03cc \u03b5\u03c0\u03af\u03c0\u03b5\u03b4\u03bf, \u03ba\u03b1\u03c4\u03b1\u03bb\u03ae\u03b3\u03bf\u03c5\u03bd \u03c3\u03b5 \u03b4\u03c5\u03b1\u03b4\u03b9\u03ba\u03cc \u03c3\u03cd\u03c3\u03c4\u03b7\u03bc\u03b1.<\/p><p>\u03a4\u03bf \u03c0\u03c1\u03cc\u03b2\u03bb\u03b7\u03bc\u03b1 \u03b5\u03bc\u03c6\u03b1\u03bd\u03af\u03b6\u03b5\u03c4\u03b1\u03b9 \u03cc\u03c4\u03b1\u03bd \u03b4\u03cd\u03bf \u03c3\u03c5\u03c3\u03c4\u03ae\u03bc\u03b1\u03c4\u03b1 \u03b4\u03b5\u03bd \u03c3\u03c5\u03bc\u03c6\u03c9\u03bd\u03bf\u03cd\u03bd \u03c3\u03c4\u03bf\u03bd \u03c4\u03c1\u03cc\u03c0\u03bf \u03b5\u03c1\u03bc\u03b7\u03bd\u03b5\u03af\u03b1\u03c2. \u0391\u03bd \u03ad\u03bd\u03b1 API \u03c3\u03c4\u03ad\u03bb\u03bd\u03b5\u03b9 unsigned \u03c4\u03b9\u03bc\u03ae \u03ba\u03b1\u03b9 \u03c4\u03bf \u03c0\u03b1\u03c1\u03b1\u03bb\u03ae\u03c0\u03c4\u03b7 \u03c3\u03cd\u03c3\u03c4\u03b7\u03bc\u03b1 \u03c4\u03b7\u03bd \u03b5\u03c1\u03bc\u03b7\u03bd\u03b5\u03cd\u03b5\u03b9 \u03c9\u03c2 signed, \u03c4\u03cc\u03c4\u03b5 \u03bc\u03b5\u03b3\u03ac\u03bb\u03bf\u03b9 \u03b8\u03b5\u03c4\u03b9\u03ba\u03bf\u03af \u03b1\u03c1\u03b9\u03b8\u03bc\u03bf\u03af \u03bc\u03c0\u03bf\u03c1\u03b5\u03af \u03bd\u03b1 \u03c6\u03b1\u03bd\u03bf\u03cd\u03bd \u03c9\u03c2 \u03b1\u03c1\u03bd\u03b7\u03c4\u03b9\u03ba\u03bf\u03af. \u0391\u03bd \u03ad\u03bd\u03b1 \u03c0\u03b5\u03b4\u03af\u03bf \u03ad\u03c7\u03b5\u03b9 \u03bc\u03b9\u03ba\u03c1\u03cc\u03c4\u03b5\u03c1\u03bf bit depth \u03b1\u03c0\u03cc \u03b1\u03c5\u03c4\u03cc \u03c0\u03bf\u03c5 \u03b1\u03c0\u03b1\u03b9\u03c4\u03b5\u03af \u03b7 \u03b5\u03c0\u03b9\u03c7\u03b5\u03b9\u03c1\u03b7\u03c3\u03b9\u03b1\u03ba\u03ae \u03c0\u03c1\u03b1\u03b3\u03bc\u03b1\u03c4\u03b9\u03ba\u03cc\u03c4\u03b7\u03c4\u03b1, \u03b4\u03b7\u03bc\u03b9\u03bf\u03c5\u03c1\u03b3\u03b5\u03af\u03c4\u03b1\u03b9 integer overflow. \u0391\u03bd \u03ad\u03bd\u03b1\u03c2 developer \u03b8\u03b5\u03c9\u03c1\u03ae\u03c3\u03b5\u03b9 \u03cc\u03c4\u03b9 \u03c4\u03bf \u03b1\u03c0\u03cc\u03b8\u03b5\u03bc\u03b1 \u03b4\u03b5\u03bd \u03b8\u03b1 \u03be\u03b5\u03c0\u03b5\u03c1\u03ac\u03c3\u03b5\u03b9 \u03c0\u03bf\u03c4\u03ad \u03c4\u03b9\u03c2 32.767 \u03bc\u03bf\u03bd\u03ac\u03b4\u03b5\u03c2 \u03ba\u03b1\u03b9 \u03c7\u03c1\u03b7\u03c3\u03b9\u03bc\u03bf\u03c0\u03bf\u03b9\u03ae\u03c3\u03b5\u03b9 signed 16-bit \u03bb\u03bf\u03b3\u03b9\u03ba\u03ae, \u03bc\u03b9\u03b1 \u03b5\u03c0\u03b9\u03c4\u03c5\u03c7\u03b7\u03bc\u03ad\u03bd\u03b7 \u03c0\u03b5\u03c1\u03af\u03bf\u03b4\u03bf\u03c2 \u03b5\u03ba\u03c0\u03c4\u03ce\u03c3\u03b5\u03c9\u03bd, \u03ad\u03bd\u03b1 marketplace sync \u03ae \u03bc\u03b9\u03b1 \u03bc\u03b1\u03b6\u03b9\u03ba\u03ae \u03b5\u03b9\u03c3\u03b1\u03b3\u03c9\u03b3\u03ae \u03c0\u03c1\u03bf\u03ca\u03cc\u03bd\u03c4\u03c9\u03bd \u03bc\u03c0\u03bf\u03c1\u03b5\u03af \u03bd\u03b1 \u03b1\u03c0\u03bf\u03ba\u03b1\u03bb\u03cd\u03c8\u03b5\u03b9 \u03c4\u03bf \u03bb\u03ac\u03b8\u03bf\u03c2 \u03bc\u03b5 \u03c4\u03bf\u03bd \u03c0\u03b9\u03bf \u03b1\u03ba\u03c1\u03b9\u03b2\u03cc \u03c4\u03c1\u03cc\u03c0\u03bf.<\/p><p>\u0393\u03b9\u03b1 \u03ad\u03bd\u03b1\u03bd e-commerce owner, \u03c4\u03bf \u03c0\u03c1\u03b1\u03ba\u03c4\u03b9\u03ba\u03cc \u03bc\u03ac\u03b8\u03b7\u03bc\u03b1 \u03b4\u03b5\u03bd \u03b5\u03af\u03bd\u03b1\u03b9 \u03bd\u03b1 \u03b3\u03c1\u03ac\u03c6\u03b5\u03b9 \u03bf \u03af\u03b4\u03b9\u03bf\u03c2 \u03ba\u03ce\u03b4\u03b9\u03ba\u03b1 \u03c7\u03b1\u03bc\u03b7\u03bb\u03bf\u03cd \u03b5\u03c0\u03b9\u03c0\u03ad\u03b4\u03bf\u03c5. \u0395\u03af\u03bd\u03b1\u03b9 \u03bd\u03b1 \u03b3\u03bd\u03c9\u03c1\u03af\u03b6\u03b5\u03b9 \u03c0\u03bf\u03b9\u03b5\u03c2 \u03b5\u03c1\u03c9\u03c4\u03ae\u03c3\u03b5\u03b9\u03c2 \u03c0\u03c1\u03ad\u03c0\u03b5\u03b9 \u03bd\u03b1 \u03ba\u03ac\u03bd\u03b5\u03b9 \u03c3\u03b5 developers, agencies \u03ba\u03b1\u03b9 SaaS vendors. \u03a0\u03ce\u03c2 \u03bf\u03c1\u03af\u03b6\u03bf\u03bd\u03c4\u03b1\u03b9 \u03c4\u03b1 database integers; \u03a5\u03c0\u03ac\u03c1\u03c7\u03bf\u03c5\u03bd \u03cc\u03c1\u03b9\u03b1 \u03c3\u03c4\u03b1 product IDs \u03ae order IDs; \u03a4\u03b1 \u03c0\u03bf\u03c3\u03ac \u03b1\u03c0\u03bf\u03b8\u03b7\u03ba\u03b5\u03cd\u03bf\u03bd\u03c4\u03b1\u03b9 \u03c3\u03b5 cents \u03c9\u03c2 \u03b1\u03ba\u03ad\u03c1\u03b1\u03b9\u03bf\u03b9 \u03ae \u03c3\u03b5 \u03b4\u03b5\u03ba\u03b1\u03b4\u03b9\u03ba\u03ac \u03c0\u03b5\u03b4\u03af\u03b1; \u03a4\u03b1 refunds \u03b5\u03c0\u03b9\u03c4\u03c1\u03ad\u03c0\u03bf\u03c5\u03bd \u03b1\u03c1\u03bd\u03b7\u03c4\u03b9\u03ba\u03ad\u03c2 \u03c4\u03b9\u03bc\u03ad\u03c2 \u03ae \u03ba\u03b1\u03c4\u03b1\u03b3\u03c1\u03ac\u03c6\u03bf\u03bd\u03c4\u03b1\u03b9 \u03c9\u03c2 \u03be\u03b5\u03c7\u03c9\u03c1\u03b9\u03c3\u03c4\u03ad\u03c2 \u03b8\u03b5\u03c4\u03b9\u03ba\u03ad\u03c2 \u03ba\u03b9\u03bd\u03ae\u03c3\u03b5\u03b9\u03c2; \u0397 \u03b1\u03c1\u03b9\u03b8\u03bc\u03b7\u03c4\u03b9\u03ba\u03ae \u03c5\u03c0\u03bf\u03bb\u03bf\u03b3\u03b9\u03c3\u03c4\u03ce\u03bd \u03b5\u03c0\u03b7\u03c1\u03b5\u03ac\u03b6\u03b5\u03b9 \u03c4\u03b7\u03bd \u03b1\u03be\u03b9\u03bf\u03c0\u03b9\u03c3\u03c4\u03af\u03b1 \u03c4\u03bf\u03c5 \u03b5\u03bc\u03c0\u03bf\u03c1\u03b9\u03ba\u03bf\u03cd \u03c3\u03c5\u03c3\u03c4\u03ae\u03bc\u03b1\u03c4\u03bf\u03c2 \u03c0\u03b5\u03c1\u03b9\u03c3\u03c3\u03cc\u03c4\u03b5\u03c1\u03bf \u03b1\u03c0\u2019 \u03cc\u03c3\u03bf \u03c6\u03b1\u03af\u03bd\u03b5\u03c4\u03b1\u03b9 \u03c3\u03c4\u03b7\u03bd \u03bf\u03b8\u03cc\u03bd\u03b7 \u03c4\u03bf\u03c5 admin panel.<\/p><h2>Signed vs unsigned: \u03c4\u03b9 \u03c3\u03b7\u03bc\u03b1\u03af\u03bd\u03bf\u03c5\u03bd \u03c3\u03c4\u03b7\u03bd \u03c0\u03c1\u03ac\u03be\u03b7<\/h2><p>\u03a3\u03c4\u03b1 unsigned binary numbers \u03cc\u03bb\u03b1 \u03c4\u03b1 bits \u03c7\u03c1\u03b7\u03c3\u03b9\u03bc\u03bf\u03c0\u03bf\u03b9\u03bf\u03cd\u03bd\u03c4\u03b1\u03b9 \u03b3\u03b9\u03b1 \u03bd\u03b1 \u03b5\u03ba\u03c6\u03c1\u03ac\u03c3\u03bf\u03c5\u03bd \u03c4\u03bf \u03bc\u03ad\u03b3\u03b5\u03b8\u03bf\u03c2 \u03b5\u03bd\u03cc\u03c2 \u03bc\u03b7 \u03b1\u03c1\u03bd\u03b7\u03c4\u03b9\u03ba\u03bf\u03cd \u03b1\u03c1\u03b9\u03b8\u03bc\u03bf\u03cd. \u0391\u03c5\u03c4\u03cc \u03b5\u03af\u03bd\u03b1\u03b9 \u03b9\u03b4\u03b1\u03bd\u03b9\u03ba\u03cc \u03cc\u03c4\u03b1\u03bd \u03b7 \u03c4\u03b9\u03bc\u03ae \u03b4\u03b5\u03bd \u03bc\u03c0\u03bf\u03c1\u03b5\u03af \u03bb\u03bf\u03b3\u03b9\u03ba\u03ac \u03bd\u03b1 \u03c0\u03ad\u03c3\u03b5\u03b9 \u03ba\u03ac\u03c4\u03c9 \u03b1\u03c0\u03cc \u03c4\u03bf \u03bc\u03b7\u03b4\u03ad\u03bd: \u03b1\u03c1\u03b9\u03b8\u03bc\u03cc\u03c2 \u03c0\u03c1\u03bf\u03ca\u03cc\u03bd\u03c4\u03bf\u03c2, \u03c0\u03bb\u03ae\u03b8\u03bf\u03c2 \u03b5\u03c0\u03b9\u03c3\u03ba\u03ad\u03c8\u03b5\u03c9\u03bd, stock quantity, ID \u03c0\u03b5\u03bb\u03ac\u03c4\u03b7, ID \u03c0\u03b1\u03c1\u03b1\u03b3\u03b3\u03b5\u03bb\u03af\u03b1\u03c2 \u03ae counter \u03c7\u03c1\u03ae\u03c3\u03b7\u03c2 \u03ba\u03bf\u03c5\u03c0\u03bf\u03bd\u03b9\u03bf\u03cd. \u039c\u03b5 n bits, \u03c4\u03bf \u03b5\u03cd\u03c1\u03bf\u03c2 \u03b5\u03af\u03bd\u03b1\u03b9 \u03b1\u03c0\u03cc 0 \u03ad\u03c9\u03c2 2^n &#8211; 1. \u0388\u03c4\u03c3\u03b9, \u03ad\u03bd\u03b1 16-bit unsigned \u03c0\u03b5\u03b4\u03af\u03bf \u03c6\u03c4\u03ac\u03bd\u03b5\u03b9 \u03ad\u03c9\u03c2 65.535, \u03b5\u03bd\u03ce \u03ad\u03bd\u03b1 32-bit unsigned \u03c6\u03c4\u03ac\u03bd\u03b5\u03b9 \u03ad\u03c9\u03c2 4.294.967.295.<\/p><p>\u03a3\u03c4\u03b1 signed binary numbers \u03ad\u03bd\u03b1 \u03bc\u03ad\u03c1\u03bf\u03c2 \u03c4\u03b7\u03c2 \u03b1\u03bd\u03b1\u03c0\u03b1\u03c1\u03ac\u03c3\u03c4\u03b1\u03c3\u03b7\u03c2 \u03c7\u03c1\u03b7\u03c3\u03b9\u03bc\u03bf\u03c0\u03bf\u03b9\u03b5\u03af\u03c4\u03b1\u03b9 \u03b3\u03b9\u03b1 \u03bd\u03b1 \u03b4\u03b7\u03bb\u03ce\u03c3\u03b5\u03b9 \u03ba\u03b1\u03b9 \u03b1\u03c1\u03bd\u03b7\u03c4\u03b9\u03ba\u03ad\u03c2 \u03c4\u03b9\u03bc\u03ad\u03c2. \u03a4\u03bf \u03c0\u03b9\u03bf \u03c3\u03c5\u03bd\u03b7\u03b8\u03b9\u03c3\u03bc\u03ad\u03bd\u03bf \u03bc\u03bf\u03bd\u03c4\u03ad\u03bb\u03bf \u03c3\u03c4\u03bf\u03c5\u03c2 \u03c3\u03cd\u03b3\u03c7\u03c1\u03bf\u03bd\u03bf\u03c5\u03c2 \u03b5\u03c0\u03b5\u03be\u03b5\u03c1\u03b3\u03b1\u03c3\u03c4\u03ad\u03c2 \u03b5\u03af\u03bd\u03b1\u03b9 \u03c4\u03bf two&#8217;s complement, \u03cc\u03c0\u03bf\u03c5 \u03c4\u03bf \u03c0\u03b9\u03bf \u03c3\u03b7\u03bc\u03b1\u03bd\u03c4\u03b9\u03ba\u03cc bit \u03bb\u03b5\u03b9\u03c4\u03bf\u03c5\u03c1\u03b3\u03b5\u03af \u03c0\u03c1\u03b1\u03ba\u03c4\u03b9\u03ba\u03ac \u03c9\u03c2 sign bit \u03ba\u03b1\u03b9 \u03c4\u03bf \u03b5\u03cd\u03c1\u03bf\u03c2 \u03b3\u03b9\u03b1 n bits \u03b5\u03af\u03bd\u03b1\u03b9 \u03b1\u03c0\u03cc -2^(n-1) \u03ad\u03c9\u03c2 2^(n-1)-1. \u0393\u03b9\u03b1 8-bit signed \u03c4\u03b9\u03bc\u03ae, \u03b1\u03c5\u03c4\u03cc \u03c3\u03b7\u03bc\u03b1\u03af\u03bd\u03b5\u03b9 -128 \u03ad\u03c9\u03c2 127. \u0393\u03b9\u03b1 16-bit signed \u03c4\u03b9\u03bc\u03ae, -32.768 \u03ad\u03c9\u03c2 32.767. \u0397 \u03b1\u03be\u03af\u03b1 \u03c4\u03bf\u03c5 two&#8217;s complement \u03b5\u03af\u03bd\u03b1\u03b9 \u03cc\u03c4\u03b9 \u03b5\u03c0\u03b9\u03c4\u03c1\u03ad\u03c0\u03b5\u03b9 \u03b1\u03c0\u03bf\u03b4\u03bf\u03c4\u03b9\u03ba\u03ae \u03c0\u03c1\u03cc\u03c3\u03b8\u03b5\u03c3\u03b7 \u03ba\u03b1\u03b9 \u03b1\u03c6\u03b1\u03af\u03c1\u03b5\u03c3\u03b7 \u03c3\u03b5 hardware, \u03c7\u03c9\u03c1\u03af\u03c2 \u03be\u03b5\u03c7\u03c9\u03c1\u03b9\u03c3\u03c4\u03ae \u03bb\u03bf\u03b3\u03b9\u03ba\u03ae \u03b3\u03b9\u03b1 \u03b1\u03c1\u03bd\u03b7\u03c4\u03b9\u03ba\u03bf\u03cd\u03c2 \u03b1\u03c1\u03b9\u03b8\u03bc\u03bf\u03cd\u03c2.<\/p><p>\u03a3\u03c4\u03b7\u03bd \u03b5\u03c0\u03b9\u03c7\u03b5\u03b9\u03c1\u03b7\u03c3\u03b9\u03b1\u03ba\u03ae \u03c0\u03bb\u03b5\u03c5\u03c1\u03ac, \u03bf\u03b9 signed \u03c4\u03b9\u03bc\u03ad\u03c2 \u03b5\u03af\u03bd\u03b1\u03b9 \u03b1\u03c0\u03b1\u03c1\u03b1\u03af\u03c4\u03b7\u03c4\u03b5\u03c2 \u03cc\u03c0\u03bf\u03c5 \u03c5\u03c0\u03ac\u03c1\u03c7\u03b5\u03b9 \u03c0\u03c1\u03b1\u03b3\u03bc\u03b1\u03c4\u03b9\u03ba\u03ae \u03ad\u03bd\u03bd\u03bf\u03b9\u03b1 \u03b1\u03c1\u03bd\u03b7\u03c4\u03b9\u03ba\u03bf\u03cd \u03b1\u03c1\u03b9\u03b8\u03bc\u03bf\u03cd: \u03bb\u03bf\u03b3\u03b9\u03c3\u03c4\u03b9\u03ba\u03ad\u03c2 \u03ba\u03b9\u03bd\u03ae\u03c3\u03b5\u03b9\u03c2, \u03c0\u03b9\u03c3\u03c4\u03c9\u03c4\u03b9\u03ba\u03ac \u03c5\u03c0\u03cc\u03bb\u03bf\u03b9\u03c0\u03b1, \u03b4\u03b9\u03b1\u03c6\u03bf\u03c1\u03ad\u03c2 \u03b1\u03c0\u03bf\u03b8\u03ae\u03ba\u03b7\u03c2, \u03b4\u03b9\u03bf\u03c1\u03b8\u03ce\u03c3\u03b5\u03b9\u03c2 \u03b1\u03c0\u03bf\u03b3\u03c1\u03b1\u03c6\u03ae\u03c2, refunds, manual adjustments \u03ba\u03b1\u03b9 profit\/loss \u03b1\u03bd\u03b1\u03c6\u03bf\u03c1\u03ad\u03c2. \u0391\u03bd\u03c4\u03af\u03b8\u03b5\u03c4\u03b1, \u03c4\u03b1 unsigned \u03c0\u03b5\u03b4\u03af\u03b1 \u03b5\u03af\u03bd\u03b1\u03b9 \u03c7\u03c1\u03ae\u03c3\u03b9\u03bc\u03b1 \u03cc\u03c4\u03b1\u03bd \u03bf\u03b9 \u03b1\u03c1\u03bd\u03b7\u03c4\u03b9\u03ba\u03ad\u03c2 \u03c4\u03b9\u03bc\u03ad\u03c2 \u03b4\u03b5\u03bd \u03ad\u03c7\u03bf\u03c5\u03bd \u03bd\u03cc\u03b7\u03bc\u03b1 \u03ba\u03b1\u03b9 \u03b8\u03ad\u03bb\u03bf\u03c5\u03bc\u03b5 \u03bc\u03b5\u03b3\u03b1\u03bb\u03cd\u03c4\u03b5\u03c1\u03bf \u03b8\u03b5\u03c4\u03b9\u03ba\u03cc \u03b5\u03cd\u03c1\u03bf\u03c2 \u03bc\u03b5 \u03c4\u03bf\u03bd \u03af\u03b4\u03b9\u03bf \u03b1\u03c1\u03b9\u03b8\u03bc\u03cc bits. \u0397 \u03bb\u03b1\u03bd\u03b8\u03b1\u03c3\u03bc\u03ad\u03bd\u03b7 \u03b5\u03c0\u03b9\u03bb\u03bf\u03b3\u03ae \u03b4\u03b5\u03bd \u03b5\u03af\u03bd\u03b1\u03b9 \u03b1\u03c0\u03bb\u03ce\u03c2 \u03c4\u03b5\u03c7\u03bd\u03b9\u03ba\u03ae \u03b1\u03c4\u03ad\u03bb\u03b5\u03b9\u03b1\u00b7 \u03bc\u03c0\u03bf\u03c1\u03b5\u03af \u03bd\u03b1 \u03b5\u03c0\u03b7\u03c1\u03b5\u03ac\u03c3\u03b5\u03b9 \u03c4\u03bf reporting, \u03c4\u03b7\u03bd \u03b5\u03bc\u03c0\u03b9\u03c3\u03c4\u03bf\u03c3\u03cd\u03bd\u03b7 \u03c4\u03b7\u03c2 \u03bf\u03bc\u03ac\u03b4\u03b1\u03c2 \u03ba\u03b1\u03b9 \u03c4\u03b7\u03bd \u03b5\u03bc\u03c0\u03b5\u03b9\u03c1\u03af\u03b1 \u03c4\u03bf\u03c5 \u03c0\u03b5\u03bb\u03ac\u03c4\u03b7.<\/p><h3>\u03a4\u03b1 \u03b2\u03b1\u03c3\u03b9\u03ba\u03ac \u03bc\u03bf\u03bd\u03c4\u03ad\u03bb\u03b1 \u03b1\u03bd\u03b1\u03c0\u03b1\u03c1\u03ac\u03c3\u03c4\u03b1\u03c3\u03b7\u03c2 \u03b1\u03c1\u03bd\u03b7\u03c4\u03b9\u03ba\u03ce\u03bd \u03b1\u03c1\u03b9\u03b8\u03bc\u03ce\u03bd<\/h3><p>\u03a4\u03bf DesignNews \u03b1\u03bd\u03b1\u03c6\u03ad\u03c1\u03b5\u03c4\u03b1\u03b9 \u03c3\u03c4\u03b7\u03bd \u03b9\u03c3\u03c4\u03bf\u03c1\u03b9\u03ba\u03ae \u03ba\u03b1\u03b9 \u03c4\u03b5\u03c7\u03bd\u03b9\u03ba\u03ae \u03b4\u03b9\u03ac\u03ba\u03c1\u03b9\u03c3\u03b7 \u03b1\u03bd\u03ac\u03bc\u03b5\u03c3\u03b1 \u03c3\u03b5 \u03c4\u03c1\u03cc\u03c0\u03bf\u03c5\u03c2 \u03b1\u03bd\u03b1\u03c0\u03b1\u03c1\u03ac\u03c3\u03c4\u03b1\u03c3\u03b7\u03c2 signed \u03b1\u03c1\u03b9\u03b8\u03bc\u03ce\u03bd. \u03a3\u03c4\u03bf sign-magnitude, \u03ad\u03bd\u03b1 bit \u03b4\u03b7\u03bb\u03ce\u03bd\u03b5\u03b9 \u03c4\u03bf \u03c0\u03c1\u03cc\u03c3\u03b7\u03bc\u03bf \u03ba\u03b1\u03b9 \u03c4\u03b1 \u03c5\u03c0\u03cc\u03bb\u03bf\u03b9\u03c0\u03b1 \u03c4\u03bf \u03bc\u03ad\u03b3\u03b5\u03b8\u03bf\u03c2. \u0395\u03af\u03bd\u03b1\u03b9 \u03b5\u03cd\u03ba\u03bf\u03bb\u03bf \u03c3\u03c4\u03b7\u03bd \u03ba\u03b1\u03c4\u03b1\u03bd\u03cc\u03b7\u03c3\u03b7, \u03b1\u03bb\u03bb\u03ac \u03b4\u03b7\u03bc\u03b9\u03bf\u03c5\u03c1\u03b3\u03b5\u03af \u03b4\u03cd\u03bf \u03bc\u03bf\u03c1\u03c6\u03ad\u03c2 \u03b3\u03b9\u03b1 \u03c4\u03bf \u03bc\u03b7\u03b4\u03ad\u03bd, \u03b8\u03b5\u03c4\u03b9\u03ba\u03cc \u03ba\u03b1\u03b9 \u03b1\u03c1\u03bd\u03b7\u03c4\u03b9\u03ba\u03cc, \u03ba\u03ac\u03c4\u03b9 \u03c0\u03bf\u03c5 \u03c0\u03b5\u03c1\u03b9\u03c0\u03bb\u03ad\u03ba\u03b5\u03b9 \u03c4\u03b7\u03bd \u03b1\u03c1\u03b9\u03b8\u03bc\u03b7\u03c4\u03b9\u03ba\u03ae. \u03a3\u03c4\u03bf one&#8217;s complement, \u03bf \u03b1\u03c1\u03bd\u03b7\u03c4\u03b9\u03ba\u03cc\u03c2 \u03b1\u03c1\u03b9\u03b8\u03bc\u03cc\u03c2 \u03c0\u03c1\u03bf\u03ba\u03cd\u03c0\u03c4\u03b5\u03b9 \u03bc\u03b5 \u03b1\u03bd\u03c4\u03b9\u03c3\u03c4\u03c1\u03bf\u03c6\u03ae \u03cc\u03bb\u03c9\u03bd \u03c4\u03c9\u03bd bits \u03c4\u03bf\u03c5 \u03b1\u03bd\u03c4\u03af\u03c3\u03c4\u03bf\u03b9\u03c7\u03bf\u03c5 \u03b8\u03b5\u03c4\u03b9\u03ba\u03bf\u03cd, \u03b1\u03bb\u03bb\u03ac \u03ba\u03b1\u03b9 \u03b5\u03b4\u03ce \u03c5\u03c0\u03ac\u03c1\u03c7\u03b5\u03b9 \u03c4\u03bf \u03b6\u03ae\u03c4\u03b7\u03bc\u03b1 \u03c4\u03bf\u03c5 \u03b4\u03b9\u03c0\u03bb\u03bf\u03cd \u03bc\u03b7\u03b4\u03b5\u03bd\u03cc\u03c2. \u03a4\u03bf two&#8217;s complement \u03bb\u03cd\u03bd\u03b5\u03b9 \u03b1\u03c5\u03c4\u03cc \u03c4\u03bf \u03c0\u03c1\u03cc\u03b2\u03bb\u03b7\u03bc\u03b1 \u03ba\u03b1\u03b9 \u03b3\u03b9\u2019 \u03b1\u03c5\u03c4\u03cc \u03ad\u03c7\u03b5\u03b9 \u03b5\u03c0\u03b9\u03ba\u03c1\u03b1\u03c4\u03ae\u03c3\u03b5\u03b9 \u03c3\u03c4\u03b7 \u03c3\u03cd\u03b3\u03c7\u03c1\u03bf\u03bd\u03b7 \u03b1\u03c1\u03b9\u03b8\u03bc\u03b7\u03c4\u03b9\u03ba\u03ae \u03c5\u03c0\u03bf\u03bb\u03bf\u03b3\u03b9\u03c3\u03c4\u03ce\u03bd.<\/p><p>\u0393\u03b9\u03b1 \u03c4\u03b1 e-shop, \u03b1\u03c5\u03c4\u03ae \u03b7 \u03bb\u03b5\u03c0\u03c4\u03bf\u03bc\u03ad\u03c1\u03b5\u03b9\u03b1 \u03b1\u03c0\u03bf\u03ba\u03c4\u03ac \u03c3\u03b7\u03bc\u03b1\u03c3\u03af\u03b1 \u03cc\u03c4\u03b1\u03bd \u03b4\u03b5\u03b4\u03bf\u03bc\u03ad\u03bd\u03b1 \u03c4\u03b1\u03be\u03b9\u03b4\u03b5\u03cd\u03bf\u03c5\u03bd \u03b1\u03bd\u03ac\u03bc\u03b5\u03c3\u03b1 \u03c3\u03b5 \u03c0\u03b1\u03bb\u03b1\u03b9\u03cc\u03c4\u03b5\u03c1\u03b1 \u03c3\u03c5\u03c3\u03c4\u03ae\u03bc\u03b1\u03c4\u03b1, custom ERP, embedded \u03c3\u03c5\u03c3\u03ba\u03b5\u03c5\u03ad\u03c2, barcode scanners, POS \u03ae middleware \u03c0\u03bf\u03c5 \u03c7\u03c1\u03b7\u03c3\u03b9\u03bc\u03bf\u03c0\u03bf\u03b9\u03b5\u03af \u03b4\u03b9\u03b1\u03c6\u03bf\u03c1\u03b5\u03c4\u03b9\u03ba\u03ad\u03c2 \u03c3\u03c5\u03bc\u03b2\u03ac\u03c3\u03b5\u03b9\u03c2. \u0394\u03b5\u03bd \u03b5\u03af\u03bd\u03b1\u03b9 \u03c3\u03c0\u03ac\u03bd\u03b9\u03bf \u03ad\u03bd\u03b1 retail \u03c0\u03b5\u03c1\u03b9\u03b2\u03ac\u03bb\u03bb\u03bf\u03bd \u03bd\u03b1 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\u03ad\u03c7\u03bf\u03c5\u03bd \u03b4\u03b9\u03b1\u03c6\u03bf\u03c1\u03b5\u03c4\u03b9\u03ba\u03cc \u03b1\u03c0\u03bf\u03b8\u03b7\u03ba\u03b5\u03c5\u03c4\u03b9\u03ba\u03cc \u03bc\u03ad\u03b3\u03b5\u03b8\u03bf\u03c2: TINYINT 1 byte, SMALLINT 2 bytes, MEDIUMINT 3 bytes, INT 4 bytes \u03ba\u03b1\u03b9 BIGINT 8 bytes. \u0397 \u03b5\u03c0\u03b9\u03bb\u03bf\u03b3\u03ae \u03c0\u03c1\u03ad\u03c0\u03b5\u03b9 \u03bd\u03b1 \u03b3\u03af\u03bd\u03b5\u03c4\u03b1\u03b9 \u03bc\u03b5 \u03b2\u03ac\u03c3\u03b7 \u03c0\u03c1\u03bf\u03b2\u03bb\u03b5\u03c0\u03cc\u03bc\u03b5\u03bd\u03b7 \u03ba\u03bb\u03af\u03bc\u03b1\u03ba\u03b1, \u03ba\u03cc\u03c3\u03c4\u03bf\u03c2 \u03b1\u03c0\u03bf\u03b8\u03ae\u03ba\u03b5\u03c5\u03c3\u03b7\u03c2 \u03ba\u03b1\u03b9 \u03c1\u03af\u03c3\u03ba\u03bf \u03bc\u03b5\u03bb\u03bb\u03bf\u03bd\u03c4\u03b9\u03ba\u03ae\u03c2 \u03bc\u03b5\u03c4\u03b1\u03bd\u03ac\u03c3\u03c4\u03b5\u03c5\u03c3\u03b7\u03c2.<\/p><p>\u03a3\u03c4\u03bf \u03c0\u03b1\u03c1\u03b1\u03ba\u03ac\u03c4\u03c9 \u03b3\u03c1\u03ac\u03c6\u03b7\u03bc\u03b1 \u03b1\u03c0\u03bf\u03c4\u03c5\u03c0\u03ce\u03bd\u03b5\u03c4\u03b1\u03b9 \u03b7 \u03b4\u03b9\u03b1\u03c6\u03bf\u03c1\u03ac \u03b1\u03c0\u03bf\u03b8\u03b7\u03ba\u03b5\u03c5\u03c4\u03b9\u03ba\u03bf\u03cd \u03bc\u03b5\u03b3\u03ad\u03b8\u03bf\u03c5\u03c2 \u03c4\u03c9\u03bd \u03b2\u03b1\u03c3\u03b9\u03ba\u03ce\u03bd \u03b1\u03ba\u03ad\u03c1\u03b1\u03b9\u03c9\u03bd \u03c4\u03cd\u03c0\u03c9\u03bd \u03c4\u03b7\u03c2 MySQL. \u0393\u03b9\u03b1 \u03ad\u03bd\u03b1 \u03bc\u03b9\u03ba\u03c1\u03cc e-shop \u03b7 \u03b4\u03b9\u03b1\u03c6\u03bf\u03c1\u03ac \u03bc\u03c0\u03bf\u03c1\u03b5\u03af \u03bd\u03b1 \u03bc\u03bf\u03b9\u03ac\u03b6\u03b5\u03b9 \u03b1\u03c3\u03ae\u03bc\u03b1\u03bd\u03c4\u03b7, \u03b1\u03bb\u03bb\u03ac \u03c3\u03b5 \u03c0\u03af\u03bd\u03b1\u03ba\u03b5\u03c2 \u03bc\u03b5 \u03b5\u03ba\u03b1\u03c4\u03bf\u03bd\u03c4\u03ac\u03b4\u03b5\u03c2 \u03b5\u03ba\u03b1\u03c4\u03bf\u03bc\u03bc\u03cd\u03c1\u03b9\u03b1 logs \u03ae events \u03b5\u03c0\u03b7\u03c1\u03b5\u03ac\u03b6\u03b5\u03b9 indexes, \u03c4\u03b1\u03c7\u03cd\u03c4\u03b7\u03c4\u03b1 \u03ba\u03b1\u03b9 \u03ba\u03cc\u03c3\u03c4\u03bf\u03c2 \u03c5\u03c0\u03bf\u03b4\u03bf\u03bc\u03ae\u03c2.<\/p>\n<style>\n.td-chart-apothikeytik-mgethos-mysql-integer-types {\n  max-width: 100%;\n  background: #FFFFFF;\n  border-radius: 12px;\n  box-shadow: 0 4px 20px rgba(3,6,51,0.08);\n  padding: 28px;\n  margin: 32px 0;\n  border: 1px solid #E5E5E5;\n  color: #030633;\n}\n.td-chart-apothikeytik-mgethos-mysql-integer-types * { box-sizing: border-box; transition: 0.2s ease; }\n.td-chart-apothikeytik-mgethos-mysql-integer-types-header h3 {\n  font-size: 22px;\n  font-weight: 700;\n  color: #030633;\n  letter-spacing: -0.01em;\n  margin: 0 0 6px 0;\n}\n.td-chart-apothikeytik-mgethos-mysql-integer-types-header p {\n  font-size: 14px;\n  font-weight: 400;\n  color: #555555;\n  margin: 0 0 24px 0;\n}\n@media (max-width: 768px) {\n  .td-chart-apothikeytik-mgethos-mysql-integer-types { padding: 22px; }\n}\n@media (max-width: 480px) {\n  .td-chart-apothikeytik-mgethos-mysql-integer-types { padding: 18px; }\n  .td-chart-apothikeytik-mgethos-mysql-integer-types-header h3 { font-size: 19px; }\n  .td-chart-apothikeytik-mgethos-mysql-integer-types-header p { font-size: 13px; }\n}\n.td-chart-apothikeytik-mgethos-mysql-integer-types-row {\n  display: flex;\n  align-items: center;\n  gap: 16px;\n  padding: 12px;\n  border-radius: 8px;\n}\n.td-chart-apothikeytik-mgethos-mysql-integer-types-row:hover { background: #FFF8EE; }\n.td-chart-apothikeytik-mgethos-mysql-integer-types-row-label {\n  width: 30%;\n  font-size: 14px;\n  font-weight: 600;\n  color: #030633;\n}\n.td-chart-apothikeytik-mgethos-mysql-integer-types-track {\n  width: 55%;\n  height: 12px;\n  background: #E5E5E5;\n  border-radius: 6px;\n  overflow: hidden;\n}\n.td-chart-apothikeytik-mgethos-mysql-integer-types-fill {\n  height: 12px;\n  background: #FCA311;\n  border-radius: 6px;\n  transition: width 0.6s ease;\n}\n.td-chart-apothikeytik-mgethos-mysql-integer-types-row-value {\n  width: 15%;\n  font-size: 14px;\n  font-weight: 700;\n  color: #030633;\n  text-align: right;\n}\n.td-chart-apothikeytik-mgethos-mysql-integer-types-fill-0 { width: 100.0%; }\n.td-chart-apothikeytik-mgethos-mysql-integer-types-fill-1 { width: 50.0%; }\n.td-chart-apothikeytik-mgethos-mysql-integer-types-fill-2 { width: 37.5%; }\n.td-chart-apothikeytik-mgethos-mysql-integer-types-fill-3 { width: 25.0%; }\n.td-chart-apothikeytik-mgethos-mysql-integer-types-fill-4 { width: 12.5%; }\n@media (max-width: 768px) {\n  .td-chart-apothikeytik-mgethos-mysql-integer-types-row { gap: 10px; }\n  .td-chart-apothikeytik-mgethos-mysql-integer-types-row-label { width: 38%; }\n  .td-chart-apothikeytik-mgethos-mysql-integer-types-track { width: 45%; }\n  .td-chart-apothikeytik-mgethos-mysql-integer-types-row-value { width: 17%; }\n}\n@media (max-width: 480px) {\n  .td-chart-apothikeytik-mgethos-mysql-integer-types-row { flex-wrap: wrap; }\n  .td-chart-apothikeytik-mgethos-mysql-integer-types-row-label, .td-chart-apothikeytik-mgethos-mysql-integer-types-row-value { width: auto; }\n  .td-chart-apothikeytik-mgethos-mysql-integer-types-track { width: 100%; order: 3; }\n}\n<\/style>\n<div class=\"td-chart-apothikeytik-mgethos-mysql-integer-types\" role=\"img\" aria-label=\"\u0393\u03c1\u03ac\u03c6\u03b7\u03bc\u03b1: \u0391\u03c0\u03bf\u03b8\u03b7\u03ba\u03b5\u03c5\u03c4\u03b9\u03ba\u03cc \u039c\u03ad\u03b3\u03b5\u03b8\u03bf\u03c2 MySQL Integer Types\">\n  <div class=\"td-chart-apothikeytik-mgethos-mysql-integer-types-header\">\n    <h3>\u0391\u03c0\u03bf\u03b8\u03b7\u03ba\u03b5\u03c5\u03c4\u03b9\u03ba\u03cc \u039c\u03ad\u03b3\u03b5\u03b8\u03bf\u03c2 MySQL Integer Types<\/h3>\n    <p>\u03a0\u03b7\u03b3\u03ae: MySQL 8.4 Reference Manual, Numeric Type Storage Requirements<\/p>\n  <\/div>\n  <div class=\"td-chart-apothikeytik-mgethos-mysql-integer-types-body\">\n    <div class=\"td-chart-apothikeytik-mgethos-mysql-integer-types-row\">\n      <div class=\"td-chart-apothikeytik-mgethos-mysql-integer-types-row-label\">BIGINT<\/div>\n      <div class=\"td-chart-apothikeytik-mgethos-mysql-integer-types-track\">\n        <div class=\"td-chart-apothikeytik-mgethos-mysql-integer-types-fill td-chart-apothikeytik-mgethos-mysql-integer-types-fill-0\" role=\"meter\" aria-valuenow=\"8\" aria-valuemin=\"0\" aria-valuemax=\"8\"><\/div>\n      <\/div>\n      <div class=\"td-chart-apothikeytik-mgethos-mysql-integer-types-row-value\">8bytes<\/div>\n    <\/div>\n    <div class=\"td-chart-apothikeytik-mgethos-mysql-integer-types-row\">\n      <div class=\"td-chart-apothikeytik-mgethos-mysql-integer-types-row-label\">INT<\/div>\n      <div class=\"td-chart-apothikeytik-mgethos-mysql-integer-types-track\">\n        <div class=\"td-chart-apothikeytik-mgethos-mysql-integer-types-fill td-chart-apothikeytik-mgethos-mysql-integer-types-fill-1\" role=\"meter\" aria-valuenow=\"4\" aria-valuemin=\"0\" aria-valuemax=\"8\"><\/div>\n      <\/div>\n      <div class=\"td-chart-apothikeytik-mgethos-mysql-integer-types-row-value\">4bytes<\/div>\n    <\/div>\n    <div class=\"td-chart-apothikeytik-mgethos-mysql-integer-types-row\">\n      <div class=\"td-chart-apothikeytik-mgethos-mysql-integer-types-row-label\">MEDIUMINT<\/div>\n      <div class=\"td-chart-apothikeytik-mgethos-mysql-integer-types-track\">\n        <div class=\"td-chart-apothikeytik-mgethos-mysql-integer-types-fill td-chart-apothikeytik-mgethos-mysql-integer-types-fill-2\" role=\"meter\" aria-valuenow=\"3\" aria-valuemin=\"0\" aria-valuemax=\"8\"><\/div>\n      <\/div>\n      <div class=\"td-chart-apothikeytik-mgethos-mysql-integer-types-row-value\">3bytes<\/div>\n    <\/div>\n    <div class=\"td-chart-apothikeytik-mgethos-mysql-integer-types-row\">\n      <div class=\"td-chart-apothikeytik-mgethos-mysql-integer-types-row-label\">SMALLINT<\/div>\n      <div class=\"td-chart-apothikeytik-mgethos-mysql-integer-types-track\">\n        <div class=\"td-chart-apothikeytik-mgethos-mysql-integer-types-fill td-chart-apothikeytik-mgethos-mysql-integer-types-fill-3\" role=\"meter\" aria-valuenow=\"2\" aria-valuemin=\"0\" aria-valuemax=\"8\"><\/div>\n      <\/div>\n      <div class=\"td-chart-apothikeytik-mgethos-mysql-integer-types-row-value\">2bytes<\/div>\n    <\/div>\n    <div class=\"td-chart-apothikeytik-mgethos-mysql-integer-types-row\">\n      <div class=\"td-chart-apothikeytik-mgethos-mysql-integer-types-row-label\">TINYINT<\/div>\n      <div class=\"td-chart-apothikeytik-mgethos-mysql-integer-types-track\">\n        <div class=\"td-chart-apothikeytik-mgethos-mysql-integer-types-fill td-chart-apothikeytik-mgethos-mysql-integer-types-fill-4\" role=\"meter\" aria-valuenow=\"1\" aria-valuemin=\"0\" aria-valuemax=\"8\"><\/div>\n      <\/div>\n      <div class=\"td-chart-apothikeytik-mgethos-mysql-integer-types-row-value\">1bytes<\/div>\n    <\/div>\n  <\/div>\n<\/div>\n<p>\u03a4\u03bf \u03c4\u03ad\u03c4\u03b1\u03c1\u03c4\u03bf \u03c3\u03b5\u03bd\u03ac\u03c1\u03b9\u03bf \u03b5\u03af\u03bd\u03b1\u03b9 \u03c4\u03b1 APIs. \u03a3\u03b5 \u03ad\u03bd\u03b1 API integration, \u03c4\u03bf schema \u03c0\u03c1\u03ad\u03c0\u03b5\u03b9 \u03bd\u03b1 \u03b4\u03b7\u03bb\u03ce\u03bd\u03b5\u03b9 \u03be\u03b5\u03ba\u03ac\u03b8\u03b1\u03c1\u03b1 \u03b1\u03bd \u03ad\u03bd\u03b1 \u03c0\u03b5\u03b4\u03af\u03bf \u03b4\u03ad\u03c7\u03b5\u03c4\u03b1\u03b9 \u03b1\u03c1\u03bd\u03b7\u03c4\u03b9\u03ba\u03ad\u03c2 \u03c4\u03b9\u03bc\u03ad\u03c2, \u03c0\u03bf\u03b9\u03bf \u03b5\u03af\u03bd\u03b1\u03b9 \u03c4\u03bf \u03bc\u03ad\u03b3\u03b9\u03c3\u03c4\u03bf \u03cc\u03c1\u03b9\u03bf \u03ba\u03b1\u03b9 \u03c0\u03ce\u03c2 \u03b8\u03b1 \u03b1\u03bd\u03c4\u03b9\u03b4\u03c1\u03ac\u03c3\u03b5\u03b9 \u03c4\u03bf \u03c3\u03cd\u03c3\u03c4\u03b7\u03bc\u03b1 \u03c3\u03b5 \u03b5\u03ba\u03c4\u03cc\u03c2 \u03bf\u03c1\u03af\u03c9\u03bd \u03b4\u03b5\u03b4\u03bf\u03bc\u03ad\u03bd\u03b1. \u0388\u03bd\u03b1 \u03c0\u03b5\u03b4\u03af\u03bf quantity \u03b4\u03b5\u03bd \u03c0\u03c1\u03ad\u03c0\u03b5\u03b9 \u03b1\u03c0\u03bb\u03ce\u03c2 \u03bd\u03b1 \u03b5\u03af\u03bd\u03b1\u03b9 \u201cnumber\u201d. \u03a0\u03c1\u03ad\u03c0\u03b5\u03b9 \u03bd\u03b1 \u03ad\u03c7\u03b5\u03b9 \u03ba\u03b1\u03bd\u03cc\u03bd\u03b5\u03c2: integer, non-negative, maximum expected value, validation error, retry policy \u03ba\u03b1\u03b9 logging. \u0391\u03bd\u03c4\u03af\u03c3\u03c4\u03bf\u03b9\u03c7\u03b1, \u03ad\u03bd\u03b1 \u03c0\u03b5\u03b4\u03af\u03bf adjustment \u03bc\u03c0\u03bf\u03c1\u03b5\u03af \u03bd\u03b1 \u03b5\u03af\u03bd\u03b1\u03b9 signed, \u03b5\u03c0\u03b5\u03b9\u03b4\u03ae \u03c0\u03c1\u03ad\u03c0\u03b5\u03b9 \u03bd\u03b1 \u03b5\u03ba\u03c6\u03c1\u03ac\u03b6\u03b5\u03b9 \u03b8\u03b5\u03c4\u03b9\u03ba\u03ad\u03c2 \u03ba\u03b1\u03b9 \u03b1\u03c1\u03bd\u03b7\u03c4\u03b9\u03ba\u03ad\u03c2 \u03ba\u03b9\u03bd\u03ae\u03c3\u03b5\u03b9\u03c2.<\/p><p>\u03a4\u03bf \u03c0\u03ad\u03bc\u03c0\u03c4\u03bf \u03c3\u03b5\u03bd\u03ac\u03c1\u03b9\u03bf \u03b5\u03af\u03bd\u03b1\u03b9 \u03c4\u03bf reporting. \u0391\u03bd \u03bf\u03b9 \u03b1\u03c1\u03b9\u03b8\u03bc\u03bf\u03af \u03b1\u03bb\u03bb\u03bf\u03b9\u03c9\u03b8\u03bf\u03cd\u03bd \u03c3\u03c4\u03b7 \u03b2\u03ac\u03c3\u03b7 \u03ae \u03c3\u03c4\u03bf middleware, \u03c4\u03bf dashboard \u03bc\u03c0\u03bf\u03c1\u03b5\u03af \u03bd\u03b1 \u03b4\u03b5\u03af\u03c7\u03bd\u03b5\u03b9 \u00ab\u03c3\u03c9\u03c3\u03c4\u03ac \u03bc\u03bf\u03c1\u03c6\u03bf\u03c0\u03bf\u03b9\u03b7\u03bc\u03ad\u03bd\u03b1\u00bb \u03b1\u03bb\u03bb\u03ac \u03bb\u03b1\u03bd\u03b8\u03b1\u03c3\u03bc\u03ad\u03bd\u03b1 \u03b4\u03b5\u03b4\u03bf\u03bc\u03ad\u03bd\u03b1. \u0391\u03c5\u03c4\u03cc \u03b5\u03af\u03bd\u03b1\u03b9 \u03b5\u03c0\u03b9\u03ba\u03af\u03bd\u03b4\u03c5\u03bd\u03bf, \u03b3\u03b9\u03b1\u03c4\u03af \u03bf\u03b9 \u03b1\u03c0\u03bf\u03c6\u03ac\u03c3\u03b5\u03b9\u03c2 \u03b3\u03b9\u03b1 \u03b1\u03b3\u03bf\u03c1\u03ad\u03c2, pricing, performance marketing \u03ba\u03b1\u03b9 cash flow \u03b2\u03b1\u03c3\u03af\u03b6\u03bf\u03bd\u03c4\u03b1\u03b9 \u03c3\u03b5 \u03b1\u03bd\u03b1\u03c6\u03bf\u03c1\u03ad\u03c2. \u0388\u03bd\u03b1 \u03c4\u03b5\u03c7\u03bd\u03b9\u03ba\u03cc \u03bb\u03ac\u03b8\u03bf\u03c2 \u03c3\u03b5 data types \u03bc\u03c0\u03bf\u03c1\u03b5\u03af \u03bd\u03b1 \u03ba\u03b1\u03c4\u03b1\u03bb\u03ae\u03be\u03b5\u03b9 \u03c3\u03b5 \u03bb\u03ac\u03b8\u03bf\u03c2 \u03b5\u03c0\u03b9\u03c7\u03b5\u03b9\u03c1\u03b7\u03bc\u03b1\u03c4\u03b9\u03ba\u03ae \u03b1\u03c0\u03cc\u03c6\u03b1\u03c3\u03b7.<\/p><h2>Step-by-Step \u03bf\u03b4\u03b7\u03b3\u03cc\u03c2 \u03b5\u03bb\u03ad\u03b3\u03c7\u03bf\u03c5 \u03b3\u03b9\u03b1 e-commerce owners<\/h2><p>\u03a4\u03bf \u03c0\u03c1\u03ce\u03c4\u03bf \u03b2\u03ae\u03bc\u03b1 \u03b5\u03af\u03bd\u03b1\u03b9 \u03b7 \u03c7\u03b1\u03c1\u03c4\u03bf\u03b3\u03c1\u03ac\u03c6\u03b7\u03c3\u03b7 \u03b1\u03c1\u03b9\u03b8\u03bc\u03b7\u03c4\u03b9\u03ba\u03ce\u03bd \u03c0\u03b5\u03b4\u03af\u03c9\u03bd. \u0396\u03b7\u03c4\u03ae\u03c3\u03c4\u03b5 \u03b1\u03c0\u03cc \u03c4\u03b7\u03bd \u03c4\u03b5\u03c7\u03bd\u03b9\u03ba\u03ae \u03bf\u03bc\u03ac\u03b4\u03b1 \u03ae \u03c4\u03bf agency \u03bd\u03b1 \u03ba\u03b1\u03c4\u03b1\u03b3\u03c1\u03ac\u03c8\u03b5\u03b9 \u03cc\u03bb\u03b1 \u03c4\u03b1 \u03ba\u03c1\u03af\u03c3\u03b9\u03bc\u03b1 numeric fields: product ID, customer ID, order ID, stock, reserved stock, price, tax, discount, shipping cost, refund amount, loyalty points, coupon usage counters \u03ba\u03b1\u03b9 accounting adjustments. \u0393\u03b9\u03b1 \u03ba\u03ac\u03b8\u03b5 \u03c0\u03b5\u03b4\u03af\u03bf \u03c0\u03c1\u03ad\u03c0\u03b5\u03b9 \u03bd\u03b1 \u03b5\u03af\u03bd\u03b1\u03b9 \u03c3\u03b1\u03c6\u03ad\u03c2 \u03b1\u03bd \u03b5\u03c0\u03b9\u03c4\u03c1\u03ad\u03c0\u03bf\u03bd\u03c4\u03b1\u03b9 \u03b1\u03c1\u03bd\u03b7\u03c4\u03b9\u03ba\u03ad\u03c2 \u03c4\u03b9\u03bc\u03ad\u03c2 \u03ba\u03b1\u03b9 \u03c0\u03bf\u03b9\u03b1 \u03b5\u03af\u03bd\u03b1\u03b9 \u03b7 \u03bc\u03ad\u03b3\u03b9\u03c3\u03c4\u03b7 \u03b1\u03bd\u03b1\u03bc\u03b5\u03bd\u03cc\u03bc\u03b5\u03bd\u03b7 \u03c4\u03b9\u03bc\u03ae \u03c3\u03b5 \u03bf\u03c1\u03af\u03b6\u03bf\u03bd\u03c4\u03b1 \u03c4\u03c1\u03b9\u03b5\u03c4\u03af\u03b1\u03c2 \u03ae \u03c0\u03b5\u03bd\u03c4\u03b1\u03b5\u03c4\u03af\u03b1\u03c2.<\/p><p>\u03a4\u03bf \u03b4\u03b5\u03cd\u03c4\u03b5\u03c1\u03bf \u03b2\u03ae\u03bc\u03b1 \u03b5\u03af\u03bd\u03b1\u03b9 \u03b7 \u03b1\u03bd\u03c4\u03b9\u03c3\u03c4\u03bf\u03af\u03c7\u03b9\u03c3\u03b7 data types. \u03a4\u03b1 \u03c0\u03b5\u03b4\u03af\u03b1 \u03c0\u03bf\u03c5 \u03b4\u03b5\u03bd \u03bc\u03c0\u03bf\u03c1\u03bf\u03cd\u03bd \u03bd\u03b1 \u03b5\u03af\u03bd\u03b1\u03b9 \u03b1\u03c1\u03bd\u03b7\u03c4\u03b9\u03ba\u03ac, \u03cc\u03c0\u03c9\u03c2 IDs \u03ba\u03b1\u03b9 counters, \u03bc\u03c0\u03bf\u03c1\u03bf\u03cd\u03bd \u03c3\u03c5\u03c7\u03bd\u03ac \u03bd\u03b1 \u03b5\u03af\u03bd\u03b1\u03b9 unsigned \u03cc\u03c0\u03bf\u03c5 \u03c4\u03bf \u03c5\u03c0\u03bf\u03c3\u03c4\u03b7\u03c1\u03af\u03b6\u03b5\u03b9 \u03b7 \u03b2\u03ac\u03c3\u03b7. \u03a4\u03b1 \u03c0\u03b5\u03b4\u03af\u03b1 \u03bc\u03b5 \u03bb\u03bf\u03b3\u03b9\u03c3\u03c4\u03b9\u03ba\u03ad\u03c2 \u03b4\u03b9\u03bf\u03c1\u03b8\u03ce\u03c3\u03b5\u03b9\u03c2 \u03c7\u03c1\u03b5\u03b9\u03ac\u03b6\u03bf\u03bd\u03c4\u03b1\u03b9 signed \u03c4\u03cd\u03c0\u03bf\u03c5\u03c2. \u03a4\u03b1 \u03c7\u03c1\u03b7\u03bc\u03b1\u03c4\u03b9\u03ba\u03ac \u03c0\u03bf\u03c3\u03ac \u03c0\u03c1\u03ad\u03c0\u03b5\u03b9 \u03bd\u03b1 \u03b1\u03bd\u03c4\u03b9\u03bc\u03b5\u03c4\u03c9\u03c0\u03af\u03b6\u03bf\u03bd\u03c4\u03b1\u03b9 \u03bc\u03b5 \u03b9\u03b4\u03b9\u03b1\u03af\u03c4\u03b5\u03c1\u03b7 \u03c0\u03c1\u03bf\u03c3\u03bf\u03c7\u03ae: \u03b5\u03af\u03c4\u03b5 \u03bc\u03b5 decimal \u03c4\u03cd\u03c0\u03bf\u03c5\u03c2 \u03b1\u03ba\u03c1\u03b9\u03b2\u03b5\u03af\u03b1\u03c2 \u03b5\u03af\u03c4\u03b5 \u03bc\u03b5 \u03b1\u03ba\u03ad\u03c1\u03b1\u03b9\u03b5\u03c2 \u03c4\u03b9\u03bc\u03ad\u03c2 \u03c3\u03b5 \u03bc\u03b9\u03ba\u03c1\u03cc\u03c4\u03b5\u03c1\u03b7 \u03bc\u03bf\u03bd\u03ac\u03b4\u03b1 \u03bd\u03bf\u03bc\u03af\u03c3\u03bc\u03b1\u03c4\u03bf\u03c2, \u03c0\u03ac\u03bd\u03c4\u03b1 \u03bc\u03b5 \u03be\u03b5\u03ba\u03ac\u03b8\u03b1\u03c1\u03b7 \u03c4\u03b5\u03ba\u03bc\u03b7\u03c1\u03af\u03c9\u03c3\u03b7. \u0395\u03b4\u03ce \u03b7 \u03b3\u03bd\u03ce\u03c3\u03b7 \u03c4\u03c9\u03bd signed binary numbers \u03ba\u03b1\u03b9 unsigned binary numbers \u03b4\u03b5\u03bd \u03b1\u03bd\u03c4\u03b9\u03ba\u03b1\u03b8\u03b9\u03c3\u03c4\u03ac \u03c4\u03bf\u03bd developer, \u03b1\u03bb\u03bb\u03ac \u03b2\u03bf\u03b7\u03b8\u03ac \u03c4\u03bf\u03bd \u03b5\u03c0\u03b9\u03c7\u03b5\u03b9\u03c1\u03b7\u03bc\u03b1\u03c4\u03af\u03b1 \u03bd\u03b1 \u03b5\u03bb\u03ad\u03b3\u03c7\u03b5\u03b9 \u03b1\u03bd \u03b7 \u03bb\u03cd\u03c3\u03b7 \u03b5\u03af\u03bd\u03b1\u03b9 \u03ce\u03c1\u03b9\u03bc\u03b7.<\/p><p>\u03a4\u03bf \u03c4\u03c1\u03af\u03c4\u03bf \u03b2\u03ae\u03bc\u03b1 \u03b5\u03af\u03bd\u03b1\u03b9 \u03c4\u03bf validation \u03c3\u03c4\u03b1 \u03cc\u03c1\u03b9\u03b1. \u039a\u03ac\u03b8\u03b5 \u03ba\u03c1\u03af\u03c3\u03b9\u03bc\u03bf \u03c0\u03b5\u03b4\u03af\u03bf \u03c0\u03c1\u03ad\u03c0\u03b5\u03b9 \u03bd\u03b1 \u03b4\u03bf\u03ba\u03b9\u03bc\u03ac\u03b6\u03b5\u03c4\u03b1\u03b9 \u03cc\u03c7\u03b9 \u03bc\u03cc\u03bd\u03bf \u03bc\u03b5 \u00ab\u03ba\u03b1\u03bd\u03bf\u03bd\u03b9\u03ba\u03ad\u03c2\u00bb \u03c4\u03b9\u03bc\u03ad\u03c2, \u03b1\u03bb\u03bb\u03ac \u03ba\u03b1\u03b9 \u03bc\u03b5 edge cases: 0, 1, \u03bc\u03ad\u03b3\u03b9\u03c3\u03c4\u03b7 \u03b5\u03c0\u03b9\u03c4\u03c1\u03b5\u03c0\u03c4\u03ae \u03c4\u03b9\u03bc\u03ae, \u03c4\u03b9\u03bc\u03ae \u03c0\u03ac\u03bd\u03c9 \u03b1\u03c0\u03cc \u03c4\u03bf \u03cc\u03c1\u03b9\u03bf, \u03b1\u03c1\u03bd\u03b7\u03c4\u03b9\u03ba\u03ae \u03c4\u03b9\u03bc\u03ae \u03cc\u03c0\u03bf\u03c5 \u03b4\u03b5\u03bd \u03b5\u03c0\u03b9\u03c4\u03c1\u03ad\u03c0\u03b5\u03c4\u03b1\u03b9, \u03c0\u03bf\u03bb\u03cd \u03bc\u03b5\u03b3\u03ac\u03bb\u03bf order ID \u03ba\u03b1\u03b9 refund \u03bc\u03b5\u03b3\u03b1\u03bb\u03cd\u03c4\u03b5\u03c1\u03bf \u03b1\u03c0\u03cc \u03c4\u03b7\u03bd \u03b1\u03c1\u03c7\u03b9\u03ba\u03ae \u03c3\u03c5\u03bd\u03b1\u03bb\u03bb\u03b1\u03b3\u03ae. \u0391\u03c5\u03c4\u03ad\u03c2 \u03bf\u03b9 \u03b4\u03bf\u03ba\u03b9\u03bc\u03ad\u03c2 \u03c0\u03c1\u03ad\u03c0\u03b5\u03b9 \u03bd\u03b1 \u03c5\u03c0\u03ac\u03c1\u03c7\u03bf\u03c5\u03bd \u03c0\u03c1\u03b9\u03bd \u03b1\u03c0\u03cc launch, migration, Black Friday, \u03c3\u03cd\u03bd\u03b4\u03b5\u03c3\u03b7 \u03bd\u03ad\u03bf\u03c5 ERP \u03ae \u03b1\u03bb\u03bb\u03b1\u03b3\u03ae payment provider.<\/p><p>\u03a4\u03bf \u03c4\u03ad\u03c4\u03b1\u03c1\u03c4\u03bf \u03b2\u03ae\u03bc\u03b1 \u03b5\u03af\u03bd\u03b1\u03b9 \u03b7 \u03c4\u03b5\u03ba\u03bc\u03b7\u03c1\u03af\u03c9\u03c3\u03b7 \u03c4\u03c9\u03bd APIs. \u039a\u03ac\u03b8\u03b5 endpoint \u03c0\u03c1\u03ad\u03c0\u03b5\u03b9 \u03bd\u03b1 \u03c0\u03b5\u03c1\u03b9\u03b3\u03c1\u03ac\u03c6\u03b5\u03b9 \u03c4\u03bf\u03c5\u03c2 \u03b1\u03c1\u03b9\u03b8\u03bc\u03b7\u03c4\u03b9\u03ba\u03bf\u03cd\u03c2 \u03c0\u03b5\u03c1\u03b9\u03bf\u03c1\u03b9\u03c3\u03bc\u03bf\u03cd\u03c2. \u0393\u03b9\u03b1 \u03c0\u03b1\u03c1\u03ac\u03b4\u03b5\u03b9\u03b3\u03bc\u03b1: \u201cstock_quantity: unsigned integer, minimum 0, maximum 4,294,967,295\u201d \u03ae \u201cinventory_adjustment: signed integer, minimum -100000, maximum 100000\u201d. \u0391\u03c5\u03c4\u03ae \u03b7 \u03c3\u03b1\u03c6\u03ae\u03bd\u03b5\u03b9\u03b1 \u03bc\u03b5\u03b9\u03ce\u03bd\u03b5\u03b9 \u03c4\u03bf \u03ba\u03cc\u03c3\u03c4\u03bf\u03c2 \u03c5\u03c0\u03bf\u03c3\u03c4\u03ae\u03c1\u03b9\u03be\u03b7\u03c2 \u03ba\u03b1\u03b9 \u03b1\u03c0\u03bf\u03c4\u03c1\u03ad\u03c0\u03b5\u03b9 \u03c3\u03c6\u03ac\u03bb\u03bc\u03b1\u03c4\u03b1 \u03cc\u03c4\u03b1\u03bd \u03b1\u03bb\u03bb\u03ac\u03b6\u03bf\u03c5\u03bd \u03c3\u03c5\u03bd\u03b5\u03c1\u03b3\u03ac\u03c4\u03b5\u03c2, developers \u03ae \u03c0\u03bb\u03b1\u03c4\u03c6\u03cc\u03c1\u03bc\u03b5\u03c2.<\/p><p>\u03a4\u03bf \u03c0\u03ad\u03bc\u03c0\u03c4\u03bf \u03b2\u03ae\u03bc\u03b1 \u03b5\u03af\u03bd\u03b1\u03b9 \u03b7 \u03c0\u03b1\u03c1\u03b1\u03ba\u03bf\u03bb\u03bf\u03cd\u03b8\u03b7\u03c3\u03b7. \u03a1\u03c5\u03b8\u03bc\u03af\u03c3\u03c4\u03b5 alerts \u03b3\u03b9\u03b1 \u03b1\u03c1\u03bd\u03b7\u03c4\u03b9\u03ba\u03ac \u03b1\u03c0\u03bf\u03b8\u03ad\u03bc\u03b1\u03c4\u03b1, \u03b1\u03c3\u03c5\u03bd\u03ae\u03b8\u03b9\u03c3\u03c4\u03b1 \u03bc\u03b5\u03b3\u03ac\u03bb\u03b1 IDs, \u03b1\u03c0\u03bf\u03c4\u03c5\u03c7\u03b7\u03bc\u03ad\u03bd\u03b1 imports, overflow errors, rejected webhooks \u03ba\u03b1\u03b9 \u03b1\u03c0\u03bf\u03ba\u03bb\u03af\u03c3\u03b5\u03b9\u03c2 \u03b1\u03bd\u03ac\u03bc\u03b5\u03c3\u03b1 \u03c3\u03b5 e-shop \u03ba\u03b1\u03b9 ERP. \u03a4\u03b1 Binary Numbers \u03b4\u03b5\u03bd \u03c6\u03b1\u03af\u03bd\u03bf\u03bd\u03c4\u03b1\u03b9 \u03c3\u03c4\u03bf \u03b5\u03bc\u03c0\u03bf\u03c1\u03b9\u03ba\u03cc dashboard, \u03b1\u03bb\u03bb\u03ac \u03c4\u03b1 \u03c3\u03c5\u03bc\u03c0\u03c4\u03ce\u03bc\u03b1\u03c4\u03b1 \u03c4\u03c9\u03bd \u03bb\u03b1\u03bd\u03b8\u03b1\u03c3\u03bc\u03ad\u03bd\u03c9\u03bd \u03b1\u03c1\u03b9\u03b8\u03bc\u03b7\u03c4\u03b9\u03ba\u03ce\u03bd \u03bf\u03c1\u03af\u03c9\u03bd \u03c6\u03b1\u03af\u03bd\u03bf\u03bd\u03c4\u03b1\u03b9 \u03c3\u03b5 \u03b1\u03ba\u03c5\u03c1\u03c9\u03bc\u03ad\u03bd\u03b5\u03c2 \u03c0\u03b1\u03c1\u03b1\u03b3\u03b3\u03b5\u03bb\u03af\u03b5\u03c2, \u03ba\u03b1\u03b8\u03c5\u03c3\u03c4\u03b5\u03c1\u03ae\u03c3\u03b5\u03b9\u03c2 fulfillment \u03ba\u03b1\u03b9 tickets \u03c0\u03b5\u03bb\u03b1\u03c4\u03ce\u03bd.<\/p><p>\u03a4\u03bf \u03c0\u03b1\u03c1\u03b1\u03ba\u03ac\u03c4\u03c9 \u03b3\u03c1\u03ac\u03c6\u03b7\u03bc\u03b1 \u03b4\u03b5\u03af\u03c7\u03bd\u03b5\u03b9 \u03c0\u03cc\u03c3\u03b1 \u03b4\u03b5\u03ba\u03b1\u03b4\u03b9\u03ba\u03ac \u03c8\u03b7\u03c6\u03af\u03b1 \u03c7\u03c1\u03b5\u03b9\u03ac\u03b6\u03bf\u03bd\u03c4\u03b1\u03b9 \u03b3\u03b9\u03b1 \u03bd\u03b1 \u03b5\u03ba\u03c6\u03c1\u03b1\u03c3\u03c4\u03b5\u03af \u03b7 \u03bc\u03ad\u03b3\u03b9\u03c3\u03c4\u03b7 unsigned \u03c4\u03b9\u03bc\u03ae \u03c3\u03b5 \u03b2\u03b1\u03c3\u03b9\u03ba\u03ac bit depths. \u0395\u03af\u03bd\u03b1\u03b9 \u03ad\u03bd\u03b1\u03c2 \u03b1\u03c0\u03bb\u03cc\u03c2 \u03c4\u03c1\u03cc\u03c0\u03bf\u03c2 \u03bd\u03b1 \u03b3\u03af\u03bd\u03b5\u03b9 \u03bf\u03c1\u03b1\u03c4\u03cc \u03c0\u03cc\u03c3\u03bf \u03b3\u03c1\u03ae\u03b3\u03bf\u03c1\u03b1 \u03b1\u03c5\u03be\u03ac\u03bd\u03b5\u03c4\u03b1\u03b9 \u03b7 \u03c7\u03c9\u03c1\u03b7\u03c4\u03b9\u03ba\u03cc\u03c4\u03b7\u03c4\u03b1 \u03cc\u03c4\u03b1\u03bd \u03b4\u03b9\u03c0\u03bb\u03b1\u03c3\u03b9\u03ac\u03b6\u03b5\u03c4\u03b1\u03b9 \u03c4\u03bf bit depth.<\/p>\n<style>\n.td-chart-dekadik-psifa-mgistis-unsigned-tims {\n  max-width: 100%;\n  background: #FFFFFF;\n  border-radius: 12px;\n  box-shadow: 0 4px 20px rgba(3,6,51,0.08);\n  padding: 28px;\n  margin: 32px 0;\n  border: 1px solid #E5E5E5;\n  color: #030633;\n}\n.td-chart-dekadik-psifa-mgistis-unsigned-tims * { box-sizing: border-box; transition: 0.2s ease; }\n.td-chart-dekadik-psifa-mgistis-unsigned-tims-header h3 {\n  font-size: 22px;\n  font-weight: 700;\n  color: #030633;\n  letter-spacing: -0.01em;\n  margin: 0 0 6px 0;\n}\n.td-chart-dekadik-psifa-mgistis-unsigned-tims-header p {\n  font-size: 14px;\n  font-weight: 400;\n  color: #555555;\n  margin: 0 0 24px 0;\n}\n@media (max-width: 768px) {\n  .td-chart-dekadik-psifa-mgistis-unsigned-tims { padding: 22px; }\n}\n@media (max-width: 480px) {\n  .td-chart-dekadik-psifa-mgistis-unsigned-tims { padding: 18px; }\n  .td-chart-dekadik-psifa-mgistis-unsigned-tims-header h3 { font-size: 19px; }\n  .td-chart-dekadik-psifa-mgistis-unsigned-tims-header p { font-size: 13px; }\n}\n.td-chart-dekadik-psifa-mgistis-unsigned-tims-body svg {\n  width: 100%;\n  height: auto;\n  display: block;\n}\n.td-chart-dekadik-psifa-mgistis-unsigned-tims-grid line {\n  stroke: #E5E5E5;\n  stroke-width: 1;\n  stroke-dasharray: 2 2;\n}\n.td-chart-dekadik-psifa-mgistis-unsigned-tims-axis {\n  stroke: #E5E5E5;\n  stroke-width: 1;\n}\n.td-chart-dekadik-psifa-mgistis-unsigned-tims-line {\n  stroke: #FCA311;\n  stroke-width: 3;\n  fill: none;\n}\n.td-chart-dekadik-psifa-mgistis-unsigned-tims-points circle:hover { fill: #FCA311; }\n.td-chart-dekadik-psifa-mgistis-unsigned-tims-labels text {\n  font-size: 12px;\n  fill: #555555;\n}\n<\/style>\n<div class=\"td-chart-dekadik-psifa-mgistis-unsigned-tims\" role=\"img\" aria-label=\"\u0393\u03c1\u03ac\u03c6\u03b7\u03bc\u03b1: \u0394\u03b5\u03ba\u03b1\u03b4\u03b9\u03ba\u03ac \u03a8\u03b7\u03c6\u03af\u03b1 \u039c\u03ad\u03b3\u03b9\u03c3\u03c4\u03b7\u03c2 Unsigned \u03a4\u03b9\u03bc\u03ae\u03c2\">\n  <div class=\"td-chart-dekadik-psifa-mgistis-unsigned-tims-header\">\n    <h3>\u0394\u03b5\u03ba\u03b1\u03b4\u03b9\u03ba\u03ac \u03a8\u03b7\u03c6\u03af\u03b1 \u039c\u03ad\u03b3\u03b9\u03c3\u03c4\u03b7\u03c2 Unsigned \u03a4\u03b9\u03bc\u03ae\u03c2<\/h3>\n    <p>\u03a0\u03b7\u03b3\u03ae: \u03a5\u03c0\u03bf\u03bb\u03bf\u03b3\u03b9\u03c3\u03bc\u03cc\u03c2 \u03b1\u03c0\u03cc \u03c4\u03bf\u03bd \u03c4\u03cd\u03c0\u03bf 2^n &#8211; 1 \u03b3\u03b9\u03b1 8, 16, 32 \u03ba\u03b1\u03b9 64 bits<\/p>\n  <\/div>\n  <div class=\"td-chart-dekadik-psifa-mgistis-unsigned-tims-body\">\n    <svg viewBox=\"0 0 800 400\" role=\"img\" aria-label=\"\u0394\u03b5\u03ba\u03b1\u03b4\u03b9\u03ba\u03ac \u03a8\u03b7\u03c6\u03af\u03b1 \u039c\u03ad\u03b3\u03b9\u03c3\u03c4\u03b7\u03c2 Unsigned \u03a4\u03b9\u03bc\u03ae\u03c2\">\n      <title>\u0394\u03b5\u03ba\u03b1\u03b4\u03b9\u03ba\u03ac \u03a8\u03b7\u03c6\u03af\u03b1 \u039c\u03ad\u03b3\u03b9\u03c3\u03c4\u03b7\u03c2 Unsigned \u03a4\u03b9\u03bc\u03ae\u03c2<\/title>\n      <g class=\"td-chart-dekadik-psifa-mgistis-unsigned-tims-grid\"><line x1=\"70\" y1=\"330.0\" x2=\"760\" y2=\"330.0\" \/><line x1=\"70\" y1=\"257.5\" x2=\"760\" y2=\"257.5\" \/><line x1=\"70\" y1=\"185.0\" x2=\"760\" y2=\"185.0\" \/><line x1=\"70\" y1=\"112.5\" x2=\"760\" y2=\"112.5\" \/><line x1=\"70\" y1=\"40.0\" x2=\"760\" y2=\"40.0\" \/><\/g>\n      <line class=\"td-chart-dekadik-psifa-mgistis-unsigned-tims-axis\" x1=\"70\" y1=\"330\" x2=\"760\" y2=\"330\" \/>\n      <line class=\"td-chart-dekadik-psifa-mgistis-unsigned-tims-axis\" x1=\"70\" y1=\"40\" x2=\"70\" y2=\"330\" \/>\n      <polyline class=\"td-chart-dekadik-psifa-mgistis-unsigned-tims-line\" points=\"70.0,330.0 300.0,295.9 530.0,210.6 760.0,40.0\" \/>\n      <g class=\"td-chart-dekadik-psifa-mgistis-unsigned-tims-points\"><circle cx=\"70.0\" cy=\"330.0\" r=\"5\" fill=\"#030633\" stroke=\"#FFFFFF\" stroke-width=\"2\"><title>8-bit: 3\u03c8\u03b7\u03c6\u03af\u03b1<\/title><\/circle><circle cx=\"300.0\" cy=\"295.9\" r=\"5\" fill=\"#030633\" stroke=\"#FFFFFF\" stroke-width=\"2\"><title>16-bit: 5\u03c8\u03b7\u03c6\u03af\u03b1<\/title><\/circle><circle cx=\"530.0\" cy=\"210.6\" r=\"5\" fill=\"#030633\" stroke=\"#FFFFFF\" stroke-width=\"2\"><title>32-bit: 10\u03c8\u03b7\u03c6\u03af\u03b1<\/title><\/circle><circle cx=\"760.0\" cy=\"40.0\" r=\"5\" fill=\"#030633\" stroke=\"#FFFFFF\" stroke-width=\"2\"><title>64-bit: 20\u03c8\u03b7\u03c6\u03af\u03b1<\/title><\/circle><\/g>\n      <g class=\"td-chart-dekadik-psifa-mgistis-unsigned-tims-labels\"><text x=\"70.0\" y=\"362\" text-anchor=\"middle\">8-bit<\/text><text x=\"300.0\" y=\"362\" text-anchor=\"middle\">16-bit<\/text><text x=\"530.0\" y=\"362\" text-anchor=\"middle\">32-bit<\/text><text x=\"760.0\" y=\"362\" text-anchor=\"middle\">64-bit<\/text><text x=\"58\" y=\"334.0\" text-anchor=\"end\">3\u03c8\u03b7\u03c6\u03af\u03b1<\/text><text x=\"58\" y=\"261.5\" text-anchor=\"end\">7.25\u03c8\u03b7\u03c6\u03af\u03b1<\/text><text x=\"58\" y=\"189.0\" text-anchor=\"end\">11.5\u03c8\u03b7\u03c6\u03af\u03b1<\/text><text x=\"58\" y=\"116.5\" text-anchor=\"end\">15.75\u03c8\u03b7\u03c6\u03af\u03b1<\/text><text x=\"58\" y=\"44.0\" text-anchor=\"end\">20\u03c8\u03b7\u03c6\u03af\u03b1<\/text><\/g>\n    <\/svg>\n  <\/div>\n<\/div>\n<h2>\u03a4\u03bf \u03b5\u03c0\u03b9\u03c7\u03b5\u03b9\u03c1\u03b7\u03bc\u03b1\u03c4\u03b9\u03ba\u03cc \u03c3\u03c5\u03bc\u03c0\u03ad\u03c1\u03b1\u03c3\u03bc\u03b1<\/h2><p>\u0397 \u03b1\u03be\u03af\u03b1 \u03c4\u03bf\u03c5 \u03ac\u03c1\u03b8\u03c1\u03bf\u03c5 \u03c4\u03bf\u03c5 DesignNews \u03b4\u03b5\u03bd \u03b2\u03c1\u03af\u03c3\u03ba\u03b5\u03c4\u03b1\u03b9 \u03bc\u03cc\u03bd\u03bf \u03c3\u03c4\u03b7\u03bd \u03c4\u03b5\u03c7\u03bd\u03b9\u03ba\u03ae \u03b5\u03be\u03ae\u03b3\u03b7\u03c3\u03b7 \u03c4\u03bf\u03c5 \u03b4\u03c5\u03b1\u03b4\u03b9\u03ba\u03bf\u03cd \u03c3\u03c5\u03c3\u03c4\u03ae\u03bc\u03b1\u03c4\u03bf\u03c2. \u0392\u03c1\u03af\u03c3\u03ba\u03b5\u03c4\u03b1\u03b9 \u03c3\u03c4\u03bf \u03cc\u03c4\u03b9 \u03bc\u03b1\u03c2 \u03c5\u03c0\u03b5\u03bd\u03b8\u03c5\u03bc\u03af\u03b6\u03b5\u03b9 \u03c0\u03c9\u03c2 \u03bf\u03b9 \u03c5\u03c0\u03bf\u03bb\u03bf\u03b3\u03b9\u03c3\u03c4\u03ad\u03c2 \u03b4\u03b5\u03bd \u00ab\u03ba\u03b1\u03c4\u03b1\u03bb\u03b1\u03b2\u03b1\u03af\u03bd\u03bf\u03c5\u03bd\u00bb \u03b1\u03c1\u03b9\u03b8\u03bc\u03bf\u03cd\u03c2 \u03cc\u03c0\u03c9\u03c2 \u03bf\u03b9 \u03ac\u03bd\u03b8\u03c1\u03c9\u03c0\u03bf\u03b9. \u0395\u03c1\u03bc\u03b7\u03bd\u03b5\u03cd\u03bf\u03c5\u03bd bits \u03bc\u03b5 \u03b2\u03ac\u03c3\u03b7 \u03ba\u03b1\u03bd\u03cc\u03bd\u03b5\u03c2. \u0391\u03bd \u03bf\u03b9 \u03ba\u03b1\u03bd\u03cc\u03bd\u03b5\u03c2 \u03b1\u03c5\u03c4\u03bf\u03af \u03b4\u03b5\u03bd \u03b5\u03af\u03bd\u03b1\u03b9 \u03ba\u03bf\u03b9\u03bd\u03bf\u03af \u03c3\u03b5 \u03cc\u03bb\u03b1 \u03c4\u03b1 \u03c3\u03c5\u03c3\u03c4\u03ae\u03bc\u03b1\u03c4\u03b1 \u03b5\u03bd\u03cc\u03c2 e-shop, \u03c4\u03cc\u03c4\u03b5 \u03b7 \u03b5\u03bc\u03c0\u03bf\u03c1\u03b9\u03ba\u03ae \u03bb\u03b5\u03b9\u03c4\u03bf\u03c5\u03c1\u03b3\u03af\u03b1 \u03c7\u03c4\u03af\u03b6\u03b5\u03c4\u03b1\u03b9 \u03c0\u03ac\u03bd\u03c9 \u03c3\u03b5 \u03c3\u03b9\u03c9\u03c0\u03b7\u03bb\u03ad\u03c2 \u03c0\u03b1\u03c1\u03b1\u03b4\u03bf\u03c7\u03ad\u03c2. \u039a\u03b1\u03b9 \u03bf\u03b9 \u03c3\u03b9\u03c9\u03c0\u03b7\u03bb\u03ad\u03c2 \u03c0\u03b1\u03c1\u03b1\u03b4\u03bf\u03c7\u03ad\u03c2 \u03b5\u03af\u03bd\u03b1\u03b9 \u03c3\u03c5\u03c7\u03bd\u03ac \u03b7 \u03c1\u03af\u03b6\u03b1 \u03c4\u03c9\u03bd \u03c0\u03b9\u03bf \u03b4\u03cd\u03c3\u03ba\u03bf\u03bb\u03c9\u03bd bugs.<\/p><p>\u0393\u03b9\u03b1 \u03ad\u03bd\u03b1\u03bd \u03b9\u03b4\u03b9\u03bf\u03ba\u03c4\u03ae\u03c4\u03b7 \u03b7\u03bb\u03b5\u03ba\u03c4\u03c1\u03bf\u03bd\u03b9\u03ba\u03bf\u03cd \u03ba\u03b1\u03c4\u03b1\u03c3\u03c4\u03ae\u03bc\u03b1\u03c4\u03bf\u03c2, \u03b7 \u03c3\u03c9\u03c3\u03c4\u03ae \u03c0\u03c1\u03bf\u03c3\u03ad\u03b3\u03b3\u03b9\u03c3\u03b7 \u03b5\u03af\u03bd\u03b1\u03b9 \u03bd\u03b1 \u03b1\u03bd\u03c4\u03b9\u03bc\u03b5\u03c4\u03c9\u03c0\u03af\u03b6\u03b5\u03b9 \u03c4\u03b1 \u03b1\u03c1\u03b9\u03b8\u03bc\u03b7\u03c4\u03b9\u03ba\u03ac \u03b4\u03b5\u03b4\u03bf\u03bc\u03ad\u03bd\u03b1 \u03c9\u03c2 \u03ba\u03c1\u03af\u03c3\u03b9\u03bc\u03bf \u03c0\u03b5\u03c1\u03b9\u03bf\u03c5\u03c3\u03b9\u03b1\u03ba\u03cc \u03c3\u03c4\u03bf\u03b9\u03c7\u03b5\u03af\u03bf. \u039f\u03b9 \u03c4\u03b9\u03bc\u03ad\u03c2, \u03c4\u03b1 \u03b1\u03c0\u03bf\u03b8\u03ad\u03bc\u03b1\u03c4\u03b1, \u03c4\u03b1 IDs, \u03bf\u03b9 \u03b5\u03c0\u03b9\u03c3\u03c4\u03c1\u03bf\u03c6\u03ad\u03c2 \u03ba\u03b1\u03b9 \u03bf\u03b9 \u03bb\u03bf\u03b3\u03b9\u03c3\u03c4\u03b9\u03ba\u03ad\u03c2 \u03ba\u03b9\u03bd\u03ae\u03c3\u03b5\u03b9\u03c2 \u03c0\u03c1\u03ad\u03c0\u03b5\u03b9 \u03bd\u03b1 \u03ad\u03c7\u03bf\u03c5\u03bd \u03c3\u03b1\u03c6\u03ae \u03cc\u03c1\u03b9\u03b1, \u03c3\u03c9\u03c3\u03c4\u03ac data types, \u03c4\u03b5\u03ba\u03bc\u03b7\u03c1\u03b9\u03c9\u03bc\u03ad\u03bd\u03b1 APIs \u03ba\u03b1\u03b9 \u03b4\u03bf\u03ba\u03b9\u03bc\u03b1\u03c3\u03bc\u03ad\u03bd\u03b1 edge cases. \u038c\u03c3\u03bf \u03c0\u03b9\u03bf \u03c0\u03bf\u03bb\u03cd \u03bc\u03b5\u03b3\u03b1\u03bb\u03ce\u03bd\u03b5\u03b9 \u03ad\u03bd\u03b1 e-shop, \u03c4\u03cc\u03c3\u03bf \u03c0\u03b5\u03c1\u03b9\u03c3\u03c3\u03cc\u03c4\u03b5\u03c1\u03bf \u03b7 \u03c4\u03b5\u03c7\u03bd\u03b9\u03ba\u03ae \u03bb\u03b5\u03c0\u03c4\u03bf\u03bc\u03ad\u03c1\u03b5\u03b9\u03b1 \u03bc\u03b5\u03c4\u03b1\u03c4\u03c1\u03ad\u03c0\u03b5\u03c4\u03b1\u03b9 \u03c3\u03b5 \u03b5\u03c0\u03b9\u03c7\u03b5\u03b9\u03c1\u03b7\u03bc\u03b1\u03c4\u03b9\u03ba\u03ae \u03b1\u03bd\u03b8\u03b5\u03ba\u03c4\u03b9\u03ba\u03cc\u03c4\u03b7\u03c4\u03b1.<\/p><p>\u03a4\u03b1 Binary Numbers \u03bc\u03c0\u03bf\u03c1\u03b5\u03af \u03bd\u03b1 \u03b6\u03bf\u03c5\u03bd \u03c3\u03c4\u03bf \u03c7\u03b1\u03bc\u03b7\u03bb\u03cc\u03c4\u03b5\u03c1\u03bf \u03b5\u03c0\u03af\u03c0\u03b5\u03b4\u03bf \u03c4\u03b7\u03c2 \u03c4\u03b5\u03c7\u03bd\u03bf\u03bb\u03bf\u03b3\u03af\u03b1\u03c2, \u03b1\u03bb\u03bb\u03ac \u03bf\u03b9 \u03c3\u03c5\u03bd\u03ad\u03c0\u03b5\u03b9\u03ad\u03c2 \u03c4\u03bf\u03c5\u03c2 \u03c6\u03c4\u03ac\u03bd\u03bf\u03c5\u03bd \u03bc\u03ad\u03c7\u03c1\u03b9 \u03c4\u03bf \u03c4\u03b1\u03bc\u03b5\u03af\u03bf, \u03c4\u03b7\u03bd \u03b1\u03c0\u03bf\u03b8\u03ae\u03ba\u03b7, \u03c4\u03b7\u03bd \u03b5\u03bc\u03c0\u03b5\u03b9\u03c1\u03af\u03b1 \u03c4\u03bf\u03c5 \u03c0\u03b5\u03bb\u03ac\u03c4\u03b7 \u03ba\u03b1\u03b9 \u03c4\u03b7\u03bd \u03b1\u03be\u03b9\u03bf\u03c0\u03b9\u03c3\u03c4\u03af\u03b1 \u03c4\u03bf\u03c5 brand. \u0397 \u03ba\u03b1\u03c4\u03b1\u03bd\u03cc\u03b7\u03c3\u03b7 \u03c4\u03b7\u03c2 \u03b4\u03b9\u03b1\u03c6\u03bf\u03c1\u03ac\u03c2 \u03b1\u03bd\u03ac\u03bc\u03b5\u03c3\u03b1 \u03c3\u03b5 signed \u03ba\u03b1\u03b9 unsigned \u03b4\u03b5\u03bd \u03b5\u03af\u03bd\u03b1\u03b9 \u03bc\u03ac\u03b8\u03b7\u03bc\u03b1 \u03c0\u03bb\u03b7\u03c1\u03bf\u03c6\u03bf\u03c1\u03b9\u03ba\u03ae\u03c2 \u03b3\u03b9\u03b1 \u03b5\u03b9\u03b4\u03b9\u03ba\u03bf\u03cd\u03c2\u00b7 \u03b5\u03af\u03bd\u03b1\u03b9 \u03c0\u03c1\u03b1\u03ba\u03c4\u03b9\u03ba\u03cc \u03b5\u03c1\u03b3\u03b1\u03bb\u03b5\u03af\u03bf \u03b3\u03b9\u03b1 \u03ba\u03ac\u03b8\u03b5 e-commerce \u03b5\u03c0\u03b9\u03c7\u03b5\u03af\u03c1\u03b7\u03c3\u03b7 \u03c0\u03bf\u03c5 \u03b8\u03ad\u03bb\u03b5\u03b9 \u03bd\u03b1 \u03ba\u03bb\u03b9\u03bc\u03b1\u03ba\u03c9\u03b8\u03b5\u03af \u03c7\u03c9\u03c1\u03af\u03c2 \u03bd\u03b1 \u03bc\u03b5\u03c4\u03b1\u03c6\u03ad\u03c1\u03b5\u03b9 \u03ba\u03c1\u03c5\u03c6\u03ac \u03c4\u03b5\u03c7\u03bd\u03b9\u03ba\u03ac \u03c7\u03c1\u03ad\u03b7 \u03c3\u03c4\u03bf \u03bc\u03ad\u03bb\u03bb\u03bf\u03bd.<\/p>\n\n<p>\u03a0\u03b7\u03b3\u03ad\u03c2: <a href=\"https:\/\/www.designnews.com\/electronics\/unsigned-vs-signed-binary-numbers-part-2\" target=\"_blank\" rel=\"noopener\">DesignNews &#8211; Unsigned vs Signed Binary Numbers, Part 2<\/a>, <a href=\"https:\/\/dev.mysql.com\/doc\/refman\/8.4\/en\/storage-requirements.html\" target=\"_blank\" rel=\"noopener\">MySQL 8.4 Reference Manual &#8211; Numeric Type Storage Requirements<\/a>, <a href=\"https:\/\/en.wikipedia.org\/wiki\/Two%27s_complement\" target=\"_blank\" rel=\"noopener\">Two&#8217;s Complement &#8211; Wikipedia<\/a>, <a href=\"https:\/\/en.wikipedia.org\/wiki\/Integer_overflow\" target=\"_blank\" rel=\"noopener\">Integer Overflow &#8211; Wikipedia<\/a>, <a href=\"https:\/\/en.wikipedia.org\/wiki\/Signed_number_representations\" target=\"_blank\" rel=\"noopener\">Signed Number Representations &#8211; Wikipedia<\/a><\/p>\n\n\n<style>\n.td-faq {\n  margin: 32px 0;\n  border: 1px solid #E5E5E5;\n  border-radius: 12px;\n  background: #FFFFFF;\n  box-shadow: 0 4px 20px rgba(3,6,51,0.08);\n  overflow: hidden;\n}\n.td-faq .td-faq-item {\n  border-bottom: 1px solid #E5E5E5;\n}\n.td-faq .td-faq-item:last-child { border-bottom: 0; }\n.td-faq .td-faq-title {\n  display: flex;\n  justify-content: space-between;\n  align-items: center;\n  gap: 16px;\n  padding: 18px 20px;\n  background: #030633;\n  color: #FCA311;\n  font-weight: 700;\n  cursor: pointer;\n  list-style: none;\n}\n.td-faq .td-faq-title::-webkit-details-marker { display: none; }\n.td-faq .td-faq-title:hover { background: #555555; }\n.td-faq .td-faq-icon {\n  width: 14px;\n  height: 14px;\n  position: relative;\n  flex: 0 0 14px;\n}\n.td-faq .td-faq-icon::before,\n.td-faq .td-faq-icon::after {\n  content: \"\";\n  position: absolute;\n  left: 0;\n  top: 6px;\n  width: 14px;\n  height: 2px;\n  border-radius: 2px;\n  background: #FCA311;\n}\n.td-faq .td-faq-icon::after { transform: rotate(90deg); }\n.td-faq details[open] .td-faq-icon::after { transform: rotate(0); }\n.td-faq .td-faq-content {\n  padding: 18px 20px;\n  background: #FFFFFF;\n  border-top: 1px solid #FED7AA;\n}\n.td-faq .td-faq-content p {\n  margin: 0;\n  color: #555555;\n}\n@media (max-width: 480px) {\n  .td-faq .td-faq-title,\n  .td-faq .td-faq-content {\n    padding: 15px 16px;\n  }\n}\n<\/style>\n<div class=\"wp-block-greenshift-blocks-accordion gs-accordion td-faq\" id=\"gspb_accordion-id-td-faq-69043\">\n  <details class=\"td-faq-item gs-accordion-item\" id=\"faq-1\" open>\n    <summary class=\"td-faq-title gs-accordion-item__title\">\n      <span>\u03a4\u03b9 \u03b5\u03af\u03bd\u03b1\u03b9 \u03c4\u03b1 unsigned \u03ba\u03b1\u03b9 signed binary numbers;<\/span>\n      <span class=\"td-faq-icon\" aria-hidden=\"true\"><\/span>\n    <\/summary>\n    <div class=\"td-faq-content gs-accordion-item__content\">\n      <p>\u03a4\u03b1 unsigned binary numbers \u03b5\u03af\u03bd\u03b1\u03b9 \u03b1\u03ba\u03bf\u03bb\u03bf\u03c5\u03b8\u03af\u03b5\u03c2 \u03b1\u03c0\u03cc bits \u03c0\u03bf\u03c5 \u03b5\u03ba\u03c6\u03c1\u03ac\u03b6\u03bf\u03c5\u03bd \u03bc\u03cc\u03bd\u03bf \u03b8\u03b5\u03c4\u03b9\u03ba\u03bf\u03cd\u03c2 \u03b1\u03c1\u03b9\u03b8\u03bc\u03bf\u03cd\u03c2, \u03b5\u03bd\u03ce \u03c4\u03b1 signed binary numbers \u03bc\u03c0\u03bf\u03c1\u03bf\u03cd\u03bd \u03bd\u03b1 \u03b5\u03ba\u03c6\u03c1\u03ac\u03c3\u03bf\u03c5\u03bd \u03ba\u03b1\u03b9 \u03b1\u03c1\u03bd\u03b7\u03c4\u03b9\u03ba\u03bf\u03cd\u03c2 \u03b1\u03c1\u03b9\u03b8\u03bc\u03bf\u03cd\u03c2 \u03c7\u03c1\u03b7\u03c3\u03b9\u03bc\u03bf\u03c0\u03bf\u03b9\u03ce\u03bd\u03c4\u03b1\u03c2 \u03c4\u03b7\u03bd \u03b1\u03bd\u03b1\u03c0\u03b1\u03c1\u03ac\u03c3\u03c4\u03b1\u03c3\u03b7 two&#x27;s complement.<\/p>\n    <\/div>\n  <\/details>\n  <details class=\"td-faq-item gs-accordion-item\" id=\"faq-2\">\n    <summary class=\"td-faq-title gs-accordion-item__title\">\n      <span>\u0393\u03b9\u03b1\u03c4\u03af \u03b7 \u03b4\u03b9\u03b1\u03c6\u03bf\u03c1\u03ac \u03bc\u03b5\u03c4\u03b1\u03be\u03cd signed \u03ba\u03b1\u03b9 unsigned binary numbers \u03b5\u03af\u03bd\u03b1\u03b9 \u03c3\u03b7\u03bc\u03b1\u03bd\u03c4\u03b9\u03ba\u03ae \u03b3\u03b9\u03b1 \u03c4\u03b1 e-shops;<\/span>\n      <span class=\"td-faq-icon\" aria-hidden=\"true\"><\/span>\n    <\/summary>\n    <div class=\"td-faq-content gs-accordion-item__content\">\n      <p>\u0397 \u03b4\u03b9\u03b1\u03c6\u03bf\u03c1\u03ac \u03bc\u03b5\u03c4\u03b1\u03be\u03cd signed \u03ba\u03b1\u03b9 unsigned binary numbers \u03b5\u03af\u03bd\u03b1\u03b9 \u03ba\u03c1\u03af\u03c3\u03b9\u03bc\u03b7 \u03b3\u03b9\u03b1 \u03c4\u03b1 e-shops, \u03b4\u03b9\u03cc\u03c4\u03b9 \u03b5\u03c0\u03b7\u03c1\u03b5\u03ac\u03b6\u03b5\u03b9 \u03c4\u03b7\u03bd \u03b5\u03c1\u03bc\u03b7\u03bd\u03b5\u03af\u03b1 \u03b1\u03c1\u03b9\u03b8\u03bc\u03ce\u03bd \u03cc\u03c0\u03c9\u03c2 \u03c4\u03b9\u03bc\u03ad\u03c2, \u03b1\u03c0\u03bf\u03b8\u03ad\u03bc\u03b1\u03c4\u03b1 \u03ba\u03b1\u03b9 IDs. \u039b\u03b1\u03bd\u03b8\u03b1\u03c3\u03bc\u03ad\u03bd\u03b7 \u03b5\u03c0\u03b9\u03bb\u03bf\u03b3\u03ae \u03bc\u03c0\u03bf\u03c1\u03b5\u03af \u03bd\u03b1 \u03bf\u03b4\u03b7\u03b3\u03ae\u03c3\u03b5\u03b9 \u03c3\u03b5 \u03c3\u03c6\u03ac\u03bb\u03bc\u03b1\u03c4\u03b1 \u03cc\u03c0\u03c9\u03c2 \u03b1\u03c1\u03bd\u03b7\u03c4\u03b9\u03ba\u03ac \u03b1\u03c0\u03bf\u03b8\u03ad\u03bc\u03b1\u03c4\u03b1 \u03ae \u03bb\u03ac\u03b8\u03bf\u03c2 \u03c7\u03c1\u03b5\u03ce\u03c3\u03b5\u03b9\u03c2.<\/p>\n    <\/div>\n  <\/details>\n  <details class=\"td-faq-item gs-accordion-item\" id=\"faq-3\">\n    <summary class=\"td-faq-title gs-accordion-item__title\">\n      <span>\u03a0\u03ce\u03c2 \u03b5\u03c0\u03b7\u03c1\u03b5\u03ac\u03b6\u03bf\u03c5\u03bd \u03c4\u03b1 binary numbers \u03c4\u03b9\u03c2 \u03c4\u03b9\u03bc\u03ad\u03c2 \u03ba\u03b1\u03b9 \u03c4\u03b1 \u03c0\u03bf\u03c3\u03ac \u03c3\u03b5 \u03ad\u03bd\u03b1 e-shop;<\/span>\n      <span class=\"td-faq-icon\" aria-hidden=\"true\"><\/span>\n    <\/summary>\n    <div class=\"td-faq-content gs-accordion-item__content\">\n      <p>\u03a4\u03b1 binary numbers \u03ba\u03b1\u03b8\u03bf\u03c1\u03af\u03b6\u03bf\u03c5\u03bd \u03c0\u03ce\u03c2 \u03b1\u03c0\u03bf\u03b8\u03b7\u03ba\u03b5\u03cd\u03bf\u03bd\u03c4\u03b1\u03b9 \u03ba\u03b1\u03b9 \u03c5\u03c0\u03bf\u03bb\u03bf\u03b3\u03af\u03b6\u03bf\u03bd\u03c4\u03b1\u03b9 \u03bf\u03b9 \u03c4\u03b9\u03bc\u03ad\u03c2 \u03ba\u03b1\u03b9 \u03c4\u03b1 \u03c0\u03bf\u03c3\u03ac. \u039b\u03b1\u03bd\u03b8\u03b1\u03c3\u03bc\u03ad\u03bd\u03bf\u03b9 \u03c4\u03cd\u03c0\u03bf\u03b9 \u03b4\u03b5\u03b4\u03bf\u03bc\u03ad\u03bd\u03c9\u03bd \u03bc\u03c0\u03bf\u03c1\u03b5\u03af \u03bd\u03b1 \u03c0\u03c1\u03bf\u03ba\u03b1\u03bb\u03ad\u03c3\u03bf\u03c5\u03bd \u03c3\u03c6\u03ac\u03bb\u03bc\u03b1\u03c4\u03b1 \u03c3\u03c4\u03c1\u03bf\u03b3\u03b3\u03c5\u03bb\u03bf\u03c0\u03bf\u03af\u03b7\u03c3\u03b7\u03c2 \u03ae overflow, \u03b9\u03b4\u03b9\u03b1\u03af\u03c4\u03b5\u03c1\u03b1 \u03c3\u03b5 \u03b4\u03b9\u03b5\u03b8\u03bd\u03ad\u03c2 e-commerce \u03bc\u03b5 \u03b4\u03b9\u03b1\u03c6\u03bf\u03c1\u03b5\u03c4\u03b9\u03ba\u03ac \u03bd\u03bf\u03bc\u03af\u03c3\u03bc\u03b1\u03c4\u03b1.<\/p>\n    <\/div>\n  <\/details>\n  <details class=\"td-faq-item gs-accordion-item\" id=\"faq-4\">\n    <summary class=\"td-faq-title gs-accordion-item__title\">\n      <span>\u03a0\u03bf\u03b9\u03b5\u03c2 \u03b5\u03af\u03bd\u03b1\u03b9 \u03bf\u03b9 \u03c3\u03c5\u03bd\u03ad\u03c0\u03b5\u03b9\u03b5\u03c2 \u03c4\u03b7\u03c2 \u03bb\u03b1\u03bd\u03b8\u03b1\u03c3\u03bc\u03ad\u03bd\u03b7\u03c2 \u03c7\u03c1\u03ae\u03c3\u03b7\u03c2 binary numbers \u03c3\u03c4\u03b1 APIs;<\/span>\n      <span class=\"td-faq-icon\" aria-hidden=\"true\"><\/span>\n    <\/summary>\n    <div class=\"td-faq-content gs-accordion-item__content\">\n      <p>\u039b\u03b1\u03bd\u03b8\u03b1\u03c3\u03bc\u03ad\u03bd\u03b7 \u03c7\u03c1\u03ae\u03c3\u03b7 binary numbers \u03c3\u03c4\u03b1 APIs \u03bc\u03c0\u03bf\u03c1\u03b5\u03af \u03bd\u03b1 \u03bf\u03b4\u03b7\u03b3\u03ae\u03c3\u03b5\u03b9 \u03c3\u03b5 \u03b1\u03c1\u03bd\u03b7\u03c4\u03b9\u03ba\u03ad\u03c2 \u03c4\u03b9\u03bc\u03ad\u03c2 \u03b5\u03ba\u03b5\u03af \u03c0\u03bf\u03c5 \u03b4\u03b5\u03bd \u03b5\u03c0\u03b9\u03c4\u03c1\u03ad\u03c0\u03b5\u03c4\u03b1\u03b9, \u03c0\u03c1\u03bf\u03ba\u03b1\u03bb\u03ce\u03bd\u03c4\u03b1\u03c2 \u03c3\u03c6\u03ac\u03bb\u03bc\u03b1\u03c4\u03b1 \u03c3\u03c4\u03b7 \u03bc\u03b5\u03c4\u03b1\u03c6\u03bf\u03c1\u03ac \u03b4\u03b5\u03b4\u03bf\u03bc\u03ad\u03bd\u03c9\u03bd \u03ba\u03b1\u03b9 \u03b1\u03bd\u03b1\u03ba\u03c1\u03af\u03b2\u03b5\u03b9\u03b5\u03c2 \u03c3\u03c4\u03bf reporting.<\/p>\n    <\/div>\n  <\/details>\n  <details class=\"td-faq-item gs-accordion-item\" id=\"faq-5\">\n    <summary class=\"td-faq-title gs-accordion-item__title\">\n      <span>\u03a0\u03ce\u03c2 \u03bc\u03c0\u03bf\u03c1\u03ce \u03bd\u03b1 \u03b5\u03bb\u03ad\u03b3\u03be\u03c9 \u03b1\u03bd \u03c4\u03b1 numeric fields \u03c3\u03c4\u03bf e-shop \u03bc\u03bf\u03c5 \u03b5\u03af\u03bd\u03b1\u03b9 \u03c3\u03c9\u03c3\u03c4\u03ac \u03ba\u03b1\u03b8\u03bf\u03c1\u03b9\u03c3\u03bc\u03ad\u03bd\u03b1;<\/span>\n      <span class=\"td-faq-icon\" aria-hidden=\"true\"><\/span>\n    <\/summary>\n    <div class=\"td-faq-content gs-accordion-item__content\">\n      <p>\u039a\u03b1\u03c4\u03b1\u03b3\u03c1\u03ac\u03c8\u03c4\u03b5 \u03cc\u03bb\u03b1 \u03c4\u03b1 \u03ba\u03c1\u03af\u03c3\u03b9\u03bc\u03b1 numeric fields \u03ba\u03b1\u03b9 \u03b5\u03c0\u03b9\u03b2\u03b5\u03b2\u03b1\u03b9\u03ce\u03c3\u03c4\u03b5 \u03cc\u03c4\u03b9 \u03ba\u03ac\u03b8\u03b5 \u03c0\u03b5\u03b4\u03af\u03bf \u03ad\u03c7\u03b5\u03b9 \u03c4\u03bf \u03c3\u03c9\u03c3\u03c4\u03cc \u03c4\u03cd\u03c0\u03bf \u03b4\u03b5\u03b4\u03bf\u03bc\u03ad\u03bd\u03c9\u03bd (signed \u03ae unsigned) \u03ba\u03b1\u03b9 \u03c4\u03b1 \u03ba\u03b1\u03c4\u03ac\u03bb\u03bb\u03b7\u03bb\u03b1 \u03cc\u03c1\u03b9\u03b1, \u03b2\u03ac\u03c3\u03b5\u03b9 \u03c4\u03b7\u03c2 \u03b5\u03c0\u03b9\u03c7\u03b5\u03b9\u03c1\u03b7\u03c3\u03b9\u03b1\u03ba\u03ae\u03c2 \u03c3\u03b1\u03c2 \u03c0\u03c1\u03b1\u03b3\u03bc\u03b1\u03c4\u03b9\u03ba\u03cc\u03c4\u03b7\u03c4\u03b1\u03c2.<\/p>\n    <\/div>\n  <\/details>\n  <details class=\"td-faq-item gs-accordion-item\" id=\"faq-6\">\n    <summary class=\"td-faq-title gs-accordion-item__title\">\n      <span>\u03a0\u03bf\u03b9\u03b1 \u03b5\u03af\u03bd\u03b1\u03b9 \u03c4\u03b1 \u03b2\u03b1\u03c3\u03b9\u03ba\u03ac \u03c3\u03b5\u03bd\u03ac\u03c1\u03b9\u03b1 \u03c0\u03bf\u03c5 \u03b4\u03b7\u03bc\u03b9\u03bf\u03c5\u03c1\u03b3\u03bf\u03cd\u03bd \u03c1\u03af\u03c3\u03ba\u03bf \u03bc\u03b5 \u03c4\u03b1 binary numbers \u03c3\u03b5 \u03ad\u03bd\u03b1 e-shop;<\/span>\n      <span class=\"td-faq-icon\" aria-hidden=\"true\"><\/span>\n    <\/summary>\n    <div class=\"td-faq-content gs-accordion-item__content\">\n      <p>\u03a4\u03b1 \u03b2\u03b1\u03c3\u03b9\u03ba\u03ac \u03c3\u03b5\u03bd\u03ac\u03c1\u03b9\u03b1 \u03c0\u03b5\u03c1\u03b9\u03bb\u03b1\u03bc\u03b2\u03ac\u03bd\u03bf\u03c5\u03bd \u03c4\u03b1 \u03b1\u03c0\u03bf\u03b8\u03ad\u03bc\u03b1\u03c4\u03b1, \u03c4\u03b9\u03c2 \u03c4\u03b9\u03bc\u03ad\u03c2, \u03c4\u03b1 IDs, \u03c4\u03b1 API integrations \u03ba\u03b1\u03b9 \u03c4\u03bf reporting. \u03a3\u03b5 \u03ba\u03ac\u03b8\u03b5 \u03c0\u03b5\u03c1\u03af\u03c0\u03c4\u03c9\u03c3\u03b7, \u03bb\u03b1\u03bd\u03b8\u03b1\u03c3\u03bc\u03ad\u03bd\u03b7 \u03b4\u03b9\u03b1\u03c7\u03b5\u03af\u03c1\u03b9\u03c3\u03b7 \u03c4\u03c9\u03bd binary numbers \u03bc\u03c0\u03bf\u03c1\u03b5\u03af \u03bd\u03b1 \u03bf\u03b4\u03b7\u03b3\u03ae\u03c3\u03b5\u03b9 \u03c3\u03b5 \u03c3\u03c6\u03ac\u03bb\u03bc\u03b1\u03c4\u03b1 \u03ba\u03b1\u03b9 \u03bf\u03b9\u03ba\u03bf\u03bd\u03bf\u03bc\u03b9\u03ba\u03ad\u03c2 \u03b1\u03c0\u03bf\u03ba\u03bb\u03af\u03c3\u03b5\u03b9\u03c2.<\/p>\n    <\/div>\n  <\/details>\n  <details class=\"td-faq-item gs-accordion-item\" id=\"faq-7\">\n    <summary class=\"td-faq-title gs-accordion-item__title\">\n      <span>\u0393\u03b9\u03b1\u03c4\u03af \u03b5\u03af\u03bd\u03b1\u03b9 \u03c3\u03b7\u03bc\u03b1\u03bd\u03c4\u03b9\u03ba\u03ae \u03b7 \u03c4\u03b5\u03ba\u03bc\u03b7\u03c1\u03af\u03c9\u03c3\u03b7 \u03c4\u03c9\u03bd APIs \u03c3\u03c7\u03b5\u03c4\u03b9\u03ba\u03ac \u03bc\u03b5 \u03c4\u03b1 binary numbers;<\/span>\n      <span class=\"td-faq-icon\" aria-hidden=\"true\"><\/span>\n    <\/summary>\n    <div class=\"td-faq-content gs-accordion-item__content\">\n      <p>\u0397 \u03c4\u03b5\u03ba\u03bc\u03b7\u03c1\u03af\u03c9\u03c3\u03b7 \u03c4\u03c9\u03bd APIs \u03c3\u03c7\u03b5\u03c4\u03b9\u03ba\u03ac \u03bc\u03b5 \u03c4\u03b1 binary numbers \u03b4\u03b9\u03b1\u03c3\u03c6\u03b1\u03bb\u03af\u03b6\u03b5\u03b9 \u03cc\u03c4\u03b9 \u03bf\u03b9 \u03c0\u03b5\u03c1\u03b9\u03bf\u03c1\u03b9\u03c3\u03bc\u03bf\u03af \u03b1\u03c1\u03b9\u03b8\u03bc\u03b7\u03c4\u03b9\u03ba\u03ce\u03bd \u03c0\u03b5\u03b4\u03af\u03c9\u03bd \u03b5\u03af\u03bd\u03b1\u03b9 \u03c3\u03b1\u03c6\u03b5\u03af\u03c2, \u03bc\u03b5\u03b9\u03ce\u03bd\u03bf\u03bd\u03c4\u03b1\u03c2 \u03c4\u03bf \u03ba\u03cc\u03c3\u03c4\u03bf\u03c2 \u03c5\u03c0\u03bf\u03c3\u03c4\u03ae\u03c1\u03b9\u03be\u03b7\u03c2 \u03ba\u03b1\u03b9 \u03b1\u03c0\u03bf\u03c4\u03c1\u03ad\u03c0\u03bf\u03bd\u03c4\u03b1\u03c2 \u03c3\u03c6\u03ac\u03bb\u03bc\u03b1\u03c4\u03b1 \u03ba\u03b1\u03c4\u03ac \u03c4\u03b9\u03c2 \u03b1\u03bb\u03bb\u03b1\u03b3\u03ad\u03c2 \u03c3\u03c5\u03bd\u03b5\u03c1\u03b3\u03b1\u03c4\u03ce\u03bd \u03ae \u03c0\u03bb\u03b1\u03c4\u03c6\u03bf\u03c1\u03bc\u03ce\u03bd.<\/p>\n    <\/div>\n  <\/details>\n<\/div>\n\n","protected":false},"excerpt":{"rendered":"<p>How signed and unsigned numbers affect e-shops, APIs, ERP, payments and databases without hidden errors.<\/p>","protected":false},"author":1,"featured_media":69042,"comment_status":"closed","ping_status":"","sticky":false,"template":"","format":"standard","meta":{"_gspb_post_css":"","footnotes":""},"categories":[406],"tags":[7170,7168,7171,7169,7172],"class_list":["post-69043","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-development","tag-apis","tag-binary-numbers","tag-databases","tag-e-commerce-development","tag-erp"],"blocksy_meta":[],"_links":{"self":[{"href":"https:\/\/twodots.gr\/en\/wp-json\/wp\/v2\/posts\/69043","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/twodots.gr\/en\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/twodots.gr\/en\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/twodots.gr\/en\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/twodots.gr\/en\/wp-json\/wp\/v2\/comments?post=69043"}],"version-history":[{"count":0,"href":"https:\/\/twodots.gr\/en\/wp-json\/wp\/v2\/posts\/69043\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/twodots.gr\/en\/wp-json\/wp\/v2\/media\/69042"}],"wp:attachment":[{"href":"https:\/\/twodots.gr\/en\/wp-json\/wp\/v2\/media?parent=69043"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/twodots.gr\/en\/wp-json\/wp\/v2\/categories?post=69043"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/twodots.gr\/en\/wp-json\/wp\/v2\/tags?post=69043"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}