{"id":217452,"date":"2025-05-22T02:46:22","date_gmt":"2025-05-22T02:46:22","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=217452"},"modified":"2025-05-22T02:46:25","modified_gmt":"2025-05-22T02:46:25","slug":"the-1s-complement-of-binary-101010-is","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/05\/22\/the-1s-complement-of-binary-101010-is\/","title":{"rendered":"The 1&#8217;s complement of binary 101010 is"},"content":{"rendered":"\n<p class=\"wp-block-paragraph\">The 1&#8217;s complement of binary 101010 is<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">A) 010110<br>B) 010101<br>C) 110111<br>D) 101011<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-1-color\">The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">The correct answer is:<br><strong>B) 010101<\/strong><\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Explanation (300+ words):<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">To understand the <strong>1&#8217;s complement<\/strong> of a binary number, it&#8217;s important to know what the term means and how it works.<\/p>\n\n\n\n<h4 class=\"wp-block-heading\">What is 1\u2019s Complement?<\/h4>\n\n\n\n<p class=\"wp-block-paragraph\">The 1\u2019s complement of a binary number is formed by <strong>inverting each bit<\/strong> of the number. This means:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Change every <strong>1 to 0<\/strong><\/li>\n\n\n\n<li>Change every <strong>0 to 1<\/strong><\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\">So, it&#8217;s a bit-wise inversion.<\/p>\n\n\n\n<h4 class=\"wp-block-heading\">Step-by-Step Conversion:<\/h4>\n\n\n\n<p class=\"wp-block-paragraph\">We are given the binary number:<br><strong>101010<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Let\u2019s break it down and flip each bit:<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><thead><tr><th>Original Bit<\/th><th>Inverted Bit<\/th><\/tr><\/thead><tbody><tr><td>1<\/td><td>0<\/td><\/tr><tr><td>0<\/td><td>1<\/td><\/tr><tr><td>1<\/td><td>0<\/td><\/tr><tr><td>0<\/td><td>1<\/td><\/tr><tr><td>1<\/td><td>0<\/td><\/tr><tr><td>0<\/td><td>1<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">So, the 1\u2019s complement is:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>010101<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">This is answer <strong>B<\/strong>.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">Why Use 1&#8217;s Complement?<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">1\u2019s complement is used in some computing systems, especially older ones, for representing negative numbers. In such systems:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>A positive number is stored as it is in binary.<\/li>\n\n\n\n<li>A negative number is stored as the <strong>1&#8217;s complement of its positive counterpart<\/strong>.<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\">However, modern systems more commonly use <strong>2&#8217;s complement<\/strong>, which is slightly different and avoids issues like having both a +0 and -0.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">Important Notes:<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>The length of the binary number <strong>must remain the same<\/strong>. You simply flip each bit.<\/li>\n\n\n\n<li>Do <strong>not<\/strong> add 1 (that would be 2\u2019s complement).<\/li>\n\n\n\n<li>This technique is commonly used in digital electronics and computing.<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">Conclusion:<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">To get the 1\u2019s complement of a binary number like 101010, <strong>just flip all the bits<\/strong>. This gives:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>101010 \u2192 010101<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">So the correct answer is:<br><strong>B) 010101<\/strong> \u2705<\/p>\n","protected":false},"excerpt":{"rendered":"<p>The 1&#8217;s complement of binary 101010 is A) 010110B) 010101C) 110111D) 101011 The Correct Answer and Explanation is: The correct answer is:B) 010101 Explanation (300+ words): To understand the 1&#8217;s complement of a binary number, it&#8217;s important to know what the term means and how it works. What is 1\u2019s Complement? The 1\u2019s complement of [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"categories":[25],"tags":[],"class_list":["post-217452","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/217452","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/comments?post=217452"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/217452\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=217452"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=217452"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=217452"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}