{"id":987,"date":"2026-04-06T13:14:34","date_gmt":"2026-04-06T07:29:34","guid":{"rendered":"https:\/\/rijankc.com.np\/?p=987"},"modified":"2026-04-07T22:15:47","modified_gmt":"2026-04-07T16:30:47","slug":"number-system-binary-octal-decimal-hexa-decimal","status":"publish","type":"post","link":"https:\/\/rijankc.com.np\/?p=987","title":{"rendered":"Number System (Binary, Octal, Decimal & Hexa Decimal)"},"content":{"rendered":"

A number system is a way of representing numbers using a set of digits or symbols according to certain rules. Each number system is defined by its base (or radix), which determines how many unique digits it uses.
\n________________________________________
\n1. Decimal Number System (Base 10)<\/strong>
\nThe most commonly used system in daily life.
\nUses 10 digits: 0\u20139
\nEach position represents a power of 10.<\/p>\n

Example:<\/strong>
\n22610<\/sub>=2\u00d7102<\/sup>+2\u00d7101<\/sup>+6\u00d7100<\/sup>
\n________________________________________
\n2. Binary Number System (Base 2)<\/strong>
\nUsed in computers and digital electronics.
\nUses only 2 digits: 0 and 1
\nEach position represents a power of 2.<\/p>\n

Example:<\/strong>
\n111000102<\/sub>=1\u00d727<\/sup>+1\u00d726<\/sup>+1\u00d725<\/sup>+0\u00d724<\/sup>+0\u00d723 <\/sup>+ 0\u00d722<\/sup>+1\u00d721<\/sup>+0\u00d720<\/sup>=22610<\/sub>
\n________________________________________
\n3. Octal Number System (Base 8)<\/strong>
\nUses 8 digits: 0\u20137
\nEach position represents a power of 8.
\nSometimes used in computing as a compact form of binary.<\/p>\n

Example:<\/strong>
\n3428<\/sub>=3\u00d782<\/sup>+4\u00d781<\/sup>+2\u00d780<\/sup>=22610<\/sub>
\n________________________________________
\n4. Hexadecimal Number System (Base 16)<\/strong>
\nUses 16 symbols: 0\u20139 and A\u2013F
\n(A=10, B=11, C=12, D=13, E=14, F=15)
\nEach position represents a power of 16.
\nWidely used in programming and digital systems.<\/p>\n

Example:<\/strong>
\n1A16<\/sub>=1\u00d7161<\/sup>+10\u00d7160<\/sup>=2610<\/sub>
\n________________________________________
\nSummary<\/strong><\/p>\n\n\n\n\n\n\n\n\n
Number System<\/strong><\/td>\nBase<\/strong><\/td>\nDigits Used<\/strong><\/td>\n<\/tr>\n<\/thead>\n
Decimal<\/td>\n10<\/td>\n0\u20139<\/td>\n<\/tr>\n
Binary<\/td>\n2<\/td>\n0\u20131<\/td>\n<\/tr>\n
Octal<\/td>\n8<\/td>\n0\u20137<\/td>\n<\/tr>\n
Hexadecimal<\/td>\n16<\/td>\n0\u20139, A\u2013F<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n","protected":false},"excerpt":{"rendered":"

A number system is a way of representing numbers using a set of digits or symbols according to certain rules. Each number system is defined by its base (or radix), which determines how many unique digits it uses. ________________________________________ 1. Decimal Number System (Base 10) The most commonly used system in daily life. Uses 10 […]<\/p>\n","protected":false},"author":1,"featured_media":988,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_uf_show_specific_survey":0,"_uf_disable_surveys":false,"footnotes":""},"categories":[147,145,146],"tags":[],"class_list":["post-987","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-binary-number-system","category-computer-science","category-number-system"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/rijankc.com.np\/index.php?rest_route=\/wp\/v2\/posts\/987","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/rijankc.com.np\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/rijankc.com.np\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/rijankc.com.np\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/rijankc.com.np\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=987"}],"version-history":[{"count":2,"href":"https:\/\/rijankc.com.np\/index.php?rest_route=\/wp\/v2\/posts\/987\/revisions"}],"predecessor-version":[{"id":1004,"href":"https:\/\/rijankc.com.np\/index.php?rest_route=\/wp\/v2\/posts\/987\/revisions\/1004"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/rijankc.com.np\/index.php?rest_route=\/wp\/v2\/media\/988"}],"wp:attachment":[{"href":"https:\/\/rijankc.com.np\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=987"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/rijankc.com.np\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=987"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/rijankc.com.np\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=987"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}