{"id":226454,"date":"2025-06-05T09:35:41","date_gmt":"2025-06-05T09:35:41","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=226454"},"modified":"2025-06-05T09:35:43","modified_gmt":"2025-06-05T09:35:43","slug":"when-we-subtract-3-from-2-the-answer-in-2-s-compliment-form-is","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/06\/05\/when-we-subtract-3-from-2-the-answer-in-2-s-compliment-form-is\/","title":{"rendered":"When we subtract -3 from 2, the answer in 2 s compliment form is"},"content":{"rendered":"\n

When we subtract -3 from 2, the answer in 2 s compliment form is a) 0001 b) 1101 c) 0101 d) 1001<\/p>\n\n\n\n

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

To subtract -3 from 2 using 2’s complement<\/strong>, you’re actually computing: 2\u2212(\u22123)=2+3=52 – (-3) = 2 + 3 = 5<\/p>\n\n\n\n

So we need to represent the result (5<\/strong>) in 2’s complement form<\/strong>, assuming we’re working in 4 bits<\/strong>, since the options are 4-bit binary numbers.<\/p>\n\n\n\n

\n\n\n\n

Step-by-Step Explanation:<\/h3>\n\n\n\n

1. Represent 2 in binary (4 bits):<\/h4>\n\n\n\n

2=00102 = 0010<\/p>\n\n\n\n

2. Represent -3 in 2’s complement (4 bits):<\/h4>\n\n\n\n
    \n
  • Start with +3 in binary: 3=00113 = 0011<\/li>\n\n\n\n
  • Take the 1\u2019s complement<\/strong> (flip the bits): 11001100<\/li>\n\n\n\n
  • Add 1 to get the 2\u2019s complement (i.e., -3): 1100+1=11011100 + 1 = 1101<\/li>\n<\/ul>\n\n\n\n

    So, -3 in 2\u2019s complement is 1101<\/strong>.<\/p>\n\n\n\n

    \n\n\n\n

    3. Add 2 and -3:<\/h4>\n\n\n\n

    0010+1101=11110010 + 1101 = 1111<\/p>\n\n\n\n

    This equals -1 in 4-bit 2\u2019s complement \u2014 but this is not what the question is asking<\/strong>.<\/p>\n\n\n\n

    Instead, the question is:
    \u201cSubtract -3 from 2,\u201d<\/strong> i.e., 2\u2212(\u22123)=2+3=52 – (-3) = 2 + 3 = 5<\/p>\n\n\n\n

    So, we now compute 2 + 3<\/strong>.<\/p>\n\n\n\n

    4. Represent +3 in binary (4 bits):<\/h4>\n\n\n\n

    3=00113 = 0011<\/p>\n\n\n\n

    5. Add:<\/h4>\n\n\n\n

    0010+0011=01010010 + 0011 = 0101<\/p>\n\n\n\n

    So, the result is 0101<\/strong>, which is 5 in 4-bit binary.<\/p>\n\n\n\n

    \n\n\n\n

    Correct Answer:<\/h3>\n\n\n\n

    c) 0101<\/strong><\/p>\n\n\n\n

    \n\n\n\n

    Summary:<\/h3>\n\n\n\n

    In 2’s complement arithmetic, subtracting a negative number is equivalent to addition. When subtracting -3 from 2, you compute 2 + 3, which equals 5. The binary representation of 5 in 4-bit binary is 0101. Thus, the correct 2’s complement form of the result is 0101<\/strong>, which matches option (c)<\/strong>.<\/p>\n\n\n\n

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

    When we subtract -3 from 2, the answer in 2 s compliment form is a) 0001 b) 1101 c) 0101 d) 1001 The Correct Answer and Explanation is: To subtract -3 from 2 using 2’s complement, you’re actually computing: 2\u2212(\u22123)=2+3=52 – (-3) = 2 + 3 = 5 So we need to represent the result […]<\/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-226454","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/226454","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=226454"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/226454\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=226454"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=226454"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=226454"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}