{"id":194399,"date":"2025-02-24T05:37:25","date_gmt":"2025-02-24T05:37:25","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=194399"},"modified":"2025-02-24T05:37:28","modified_gmt":"2025-02-24T05:37:28","slug":"convert-the-number-96-to-its-binary-equivalent","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/02\/24\/convert-the-number-96-to-its-binary-equivalent\/","title":{"rendered":"Convert the number 96 to its binary equivalent"},"content":{"rendered":"\n

Convert the number 96 to its binary equivalent.<\/p>\n\n\n\n

\"\"<\/figure>\n\n\n\n

The Correct Answer and Explanation is :<\/strong><\/mark><\/p>\n\n\n\n

The binary equivalent of the decimal number 96<\/strong> is 1100000<\/strong>.<\/p>\n\n\n\n

Explanation:<\/strong><\/h3>\n\n\n\n

To convert the decimal number 96<\/strong> to its binary equivalent, follow these steps:<\/p>\n\n\n\n

Step 1: Divide the Number by 2<\/strong><\/h4>\n\n\n\n

We continuously divide 96<\/strong> by 2<\/strong>, keeping track of the quotient and remainder.<\/p>\n\n\n\n

Division<\/th>Quotient<\/th>Remainder<\/th><\/tr><\/thead>
96 \u00f7 2<\/td>48<\/td>0<\/td><\/tr>
48 \u00f7 2<\/td>24<\/td>0<\/td><\/tr>
24 \u00f7 2<\/td>12<\/td>0<\/td><\/tr>
12 \u00f7 2<\/td>6<\/td>0<\/td><\/tr>
6 \u00f7 2<\/td>3<\/td>0<\/td><\/tr>
3 \u00f7 2<\/td>1<\/td>1<\/td><\/tr>
1 \u00f7 2<\/td>0<\/td>1<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n

Step 2: Read the Remainders in Reverse Order<\/strong><\/h4>\n\n\n\n

When we read the remainders from bottom to top, we get:
1100000<\/strong><\/p>\n\n\n\n

Thus, the decimal number 96<\/strong> in binary is 1100000\u2082<\/strong>.<\/p>\n\n\n\n

Understanding the Concept:<\/strong><\/h3>\n\n\n\n
    \n
  • The binary number system uses only two digits: 0<\/strong> and 1<\/strong>.<\/li>\n\n\n\n
  • Every digit in a binary number represents a power of 2<\/strong>, just as in the decimal system, each digit represents a power of 10<\/strong>.<\/li>\n\n\n\n
  • For example, 1100000\u2082<\/strong> can be expanded as: [
    (1 \\times 2^6) + (1 \\times 2^5) + (0 \\times 2^4) + (0 \\times 2^3) + (0 \\times 2^2) + (0 \\times 2^1) + (0 \\times 2^0)
    ] [
    64 + 32 + 0 + 0 + 0 + 0 + 0 = 96
    ]<\/li>\n<\/ul>\n\n\n\n

    Thus, 96 = 1100000\u2082<\/strong>, confirming the correctness of our conversion.<\/p>\n\n\n\n

    Now, I’ll generate an image representing this binary conversion.<\/p>\n\n\n\n

    Here is the image illustrating the conversion of the decimal number 96 to its binary equivalent (1100000) with step-by-step calculations. Let me know if you need any modifications or further explanations!<\/p>\n\n\n\n

    \"\"<\/figure>\n","protected":false},"excerpt":{"rendered":"

    Convert the number 96 to its binary equivalent. The Correct Answer and Explanation is : The binary equivalent of the decimal number 96 is 1100000. Explanation: To convert the decimal number 96 to its binary equivalent, follow these steps: Step 1: Divide the Number by 2 We continuously divide 96 by 2, keeping track of […]<\/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-194399","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/194399","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=194399"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/194399\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=194399"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=194399"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=194399"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}