{"id":158790,"date":"2024-10-31T05:18:07","date_gmt":"2024-10-31T05:18:07","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=158790"},"modified":"2024-10-31T05:18:13","modified_gmt":"2024-10-31T05:18:13","slug":"what-is-the-value-of-the-binary-number-01101","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2024\/10\/31\/what-is-the-value-of-the-binary-number-01101\/","title":{"rendered":"What is the value of the binary number 01101"},"content":{"rendered":"\n<p>What is the value of the binary number 01101? A. 4 B. 13 C. 25 D. 29 E. 31<\/p>\n\n\n\n<p><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-6-color\"><strong>The Correct Answer and Explanation is :<\/strong><\/mark><\/p>\n\n\n\n<p>The value of the binary number <strong>01101<\/strong> is <strong>13<\/strong> (Option B).<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Explanation:<\/h3>\n\n\n\n<p>Binary numbers use a base-2 system, meaning each digit represents a power of 2, starting from the rightmost digit, which represents (2^0). Each digit in a binary number can either be a 0 or a 1. The position of each digit indicates its weight based on powers of 2.<\/p>\n\n\n\n<p>To convert the binary number <strong>01101<\/strong> to its decimal (base-10) equivalent, we start from the rightmost digit and assign powers of 2 to each digit as follows:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>The rightmost digit (1) is at position 0: (0 \\times 2^0 = 0)<\/li>\n\n\n\n<li>The next digit (0) is at position 1: (1 \\times 2^1 = 2)<\/li>\n\n\n\n<li>The next digit (1) is at position 2: (1 \\times 2^2 = 4)<\/li>\n\n\n\n<li>The next digit (1) is at position 3: (1 \\times 2^3 = 8)<\/li>\n\n\n\n<li>The leftmost digit (0) is at position 4: (0 \\times 2^4 = 0)<\/li>\n<\/ul>\n\n\n\n<p>Now we sum these values:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>(0 + 0 + 4 + 8 + 0 = 12)<\/li>\n<\/ul>\n\n\n\n<p>The sum yields <strong>13<\/strong>.<\/p>\n\n\n\n<p>To visualize it better, consider how each position contributes to the total value:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>The digit <strong>1<\/strong> in the (2^3) position (the fourth digit from the right) contributes (8).<\/li>\n\n\n\n<li>The digit <strong>1<\/strong> in the (2^2) position contributes (4).<\/li>\n\n\n\n<li>The digit <strong>0<\/strong> in the (2^4) position contributes nothing.<\/li>\n\n\n\n<li>The rightmost digits contribute a total of (0 + 2 = 2).<\/li>\n<\/ul>\n\n\n\n<p>Adding these contributions together gives (8 + 4 + 0 + 1 = 13).<\/p>\n\n\n\n<p>In conclusion, the binary number <strong>01101<\/strong> equals <strong>13<\/strong> in decimal, making option <strong>B<\/strong> the correct answer. Understanding how to convert binary to decimal is crucial, especially in fields like computer science and electronics, where binary representation is fundamental.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>What is the value of the binary number 01101? A. 4 B. 13 C. 25 D. 29 E. 31 The Correct Answer and Explanation is : The value of the binary number 01101 is 13 (Option B). Explanation: Binary numbers use a base-2 system, meaning each digit represents a power of 2, starting from the [&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-158790","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/158790","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=158790"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/158790\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=158790"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=158790"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=158790"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}