{"id":201658,"date":"2025-03-15T20:43:43","date_gmt":"2025-03-15T20:43:43","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=201658"},"modified":"2025-03-15T20:43:45","modified_gmt":"2025-03-15T20:43:45","slug":"what-is-the-binary-representation-of-0xca","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/03\/15\/what-is-the-binary-representation-of-0xca\/","title":{"rendered":"What is the binary representation of 0xCA"},"content":{"rendered":"\n

What is the binary representation of 0xCA? (0x refers to hexadecimal)<\/p>\n\n\n\n

    \n
  1. 10111010<\/li>\n\n\n\n
  2. 11010101<\/li>\n\n\n\n
  3. 11001010<\/li>\n\n\n\n
  4. 11011010<\/li>\n<\/ol>\n\n\n\n

    The correct answer and explanation is:<\/mark><\/strong><\/p>\n\n\n\n

    The correct binary representation of 0xCA<\/strong> (which is a hexadecimal number) is:<\/p>\n\n\n\n

    11001010<\/strong><\/p>\n\n\n\n

    \n\n\n\n

    Explanation<\/h3>\n\n\n\n

    1. Understanding Hexadecimal (0x)<\/h4>\n\n\n\n

    Hexadecimal (base 16) is a number system that uses 16 symbols:
    0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A, B, C, D, E, F<\/strong>
    Each digit represents values from 0 to 15. In this system:<\/p>\n\n\n\n

      \n
    • A = 10<\/strong>, B = 11<\/strong>, C = 12<\/strong>, D = 13<\/strong>, E = 14<\/strong>, F = 15<\/strong><\/li>\n<\/ul>\n\n\n\n

      2. Converting Hexadecimal (0xCA) to Binary<\/h4>\n\n\n\n

      Each hexadecimal digit corresponds to 4 binary bits<\/strong> (a nibble).<\/p>\n\n\n\n

        \n
      1. Convert C (12 in decimal)<\/strong> to binary:\n
          \n
        • 12 in binary is 1100<\/strong><\/li>\n<\/ul>\n<\/li>\n\n\n\n
        • Convert A (10 in decimal)<\/strong> to binary:\n
            \n
          • 10 in binary is 1010<\/strong><\/li>\n<\/ul>\n<\/li>\n<\/ol>\n\n\n\n

            Now, combining both:
            C = 1100<\/strong> and A = 1010<\/strong>, so 0xCA = 11001010 (binary)<\/strong><\/p>\n\n\n\n

            3. Verifying the Answer<\/h4>\n\n\n\n

            To ensure accuracy, convert 11001010 (binary) back to decimal<\/strong>: (1\u00d727)+(1\u00d726)+(0\u00d725)+(0\u00d724)+(1\u00d723)+(0\u00d722)+(1\u00d721)+(0\u00d720)(1 \\times 2^7) + (1 \\times 2^6) + (0 \\times 2^5) + (0 \\times 2^4) + (1 \\times 2^3) + (0 \\times 2^2) + (1 \\times 2^1) + (0 \\times 2^0) =128+64+8+2=202= 128 + 64 + 8 + 2 = 202<\/p>\n\n\n\n

            202 in decimal is CA in hexadecimal<\/strong>, confirming our result.<\/p>\n\n\n\n

            Thus, the binary representation of 0xCA<\/strong> is 11001010<\/strong>.<\/p>\n\n\n\n

            \n\n\n\n

            Generated Image<\/h3>\n\n\n\n

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

            Here is the generated infographic explaining the conversion of 0xCA<\/strong> to binary 11001010<\/strong>. Let me know if you need any modifications!<\/p>\n\n\n\n

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

            What is the binary representation of 0xCA? (0x refers to hexadecimal) The correct answer and explanation is: The correct binary representation of 0xCA (which is a hexadecimal number) is: 11001010 Explanation 1. Understanding Hexadecimal (0x) Hexadecimal (base 16) is a number system that uses 16 symbols:0, 1, 2, 3, 4, 5, 6, 7, 8, 9, […]<\/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-201658","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/201658","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=201658"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/201658\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=201658"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=201658"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=201658"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}