{"id":254139,"date":"2025-07-12T11:21:41","date_gmt":"2025-07-12T11:21:41","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=254139"},"modified":"2025-07-12T11:21:43","modified_gmt":"2025-07-12T11:21:43","slug":"arrange-the-following-numbers-in-ascending-order","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/07\/12\/arrange-the-following-numbers-in-ascending-order\/","title":{"rendered":"Arrange the following numbers in ascending order"},"content":{"rendered":"\n

Arrange the following numbers in ascending order a. Binary 1011 b. Decimal 8 c. Hexadecimal F Select one: a. All numbers are equal b. b,a,c c. a, b, c d. c,b,a<\/p>\n\n\n\n

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

To arrange the given numbers in ascending order, we need to convert all of them into a common number system, typically decimal (base 10), to make the comparison straightforward. Let’s break down each number:<\/p>\n\n\n\n

    \n
  1. Binary 1011<\/strong>:\n
      \n
    • The binary system uses base 2, where each digit represents a power of 2. Starting from the right, we have: 1\u00d723+0\u00d722+1\u00d721+1\u00d720=8+0+2+1=111 \\times 2^3 + 0 \\times 2^2 + 1 \\times 2^1 + 1 \\times 2^0 = 8 + 0 + 2 + 1 = 111\u00d723+0\u00d722+1\u00d721+1\u00d720=8+0+2+1=11<\/li>\n\n\n\n
    • So, 1011<\/strong> in binary is equal to 11<\/strong> in decimal.<\/li>\n<\/ul>\n<\/li>\n\n\n\n
    • Decimal 8<\/strong>:\n
        \n
      • This is already in decimal, so it remains 8<\/strong>.<\/li>\n<\/ul>\n<\/li>\n\n\n\n
      • Hexadecimal F<\/strong>:\n
          \n
        • The hexadecimal system uses base 16, and “F” represents the decimal number 15 (since hexadecimal digits range from 0 to F, where F corresponds to 15).<\/li>\n\n\n\n
        • So, F<\/strong> in hexadecimal is equal to 15<\/strong> in decimal.<\/li>\n<\/ul>\n<\/li>\n<\/ol>\n\n\n\n

          Now, we can compare these values:<\/p>\n\n\n\n

            \n
          • Binary 1011<\/strong> = 11 (decimal)<\/li>\n\n\n\n
          • Decimal 8<\/strong> = 8<\/li>\n\n\n\n
          • Hexadecimal F<\/strong> = 15 (decimal)<\/li>\n<\/ul>\n\n\n\n

            To arrange them in ascending order:<\/p>\n\n\n\n

              \n
            • Decimal 8<\/strong> comes first (8).<\/li>\n\n\n\n
            • Then, Binary 1011<\/strong> comes next (11).<\/li>\n\n\n\n
            • Finally, Hexadecimal F<\/strong> comes last (15).<\/li>\n<\/ul>\n\n\n\n

              Thus, the correct ascending order is: b, a, c<\/strong>.<\/p>\n\n\n\n

              So, the answer is:
              b. a, b, c<\/strong>.<\/p>\n\n\n\n

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

              Arrange the following numbers in ascending order a. Binary 1011 b. Decimal 8 c. Hexadecimal F Select one: a. All numbers are equal b. b,a,c c. a, b, c d. c,b,a The Correct Answer and Explanation is: To arrange the given numbers in ascending order, we need to convert all of them into a common […]<\/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-254139","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/254139","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=254139"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/254139\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=254139"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=254139"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=254139"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}