Convert the following to its Two’s Complement binary representation. If in decimal or hexadecimal, convert to binary first. Use as many bits as you deem necessary.<\/p>\n\n\n\n
a. 0b 1000 <\/p>\n\n\n\n
b. 0b 1110 <\/p>\n\n\n\n
c. 0d 7 <\/p>\n\n\n\n
d. d 0 <\/p>\n\n\n\n
e. 0d 15 <\/p>\n\n\n\n
f. 0x C4 <\/p>\n\n\n\n
g. 0x FF<\/p>\n\n\n\n
The correct answer and explanation is:<\/mark><\/strong><\/p>\n\n\n\n To convert the given numbers to their Two’s Complement binary representation, we need to follow a few basic steps. For this task, I\u2019ll convert each value to binary (if it’s not already), and then determine its Two’s Complement representation.<\/p>\n\n\n\n This is already in binary. For a positive number like this, the Two\u2019s complement is simply the binary value itself, padded to the desired bit-width if necessary. Let\u2019s assume a 8-bit representation for simplicity:<\/p>\n\n\n\n 8-bit Two’s Complement<\/strong>: This is also in binary. To represent this number in Two’s Complement, it stays the same since it’s positive. For an 8-bit representation:<\/p>\n\n\n\n 8-bit Two’s Complement<\/strong>: Convert 7 to binary: Since it’s positive, the Two’s complement representation is the same as the binary representation.<\/p>\n\n\n\n 8-bit Two’s Complement<\/strong>: The number 0 in binary is 8-bit Two’s Complement<\/strong>: Convert 15 to binary: 8-bit Two’s Complement<\/strong>: Convert C4 from hexadecimal to binary: Since it\u2019s positive, the Two’s complement representation remains the same.<\/p>\n\n\n\n 8-bit Two’s Complement<\/strong>: Convert FF from hexadecimal to binary: 8-bit Two’s Complement<\/strong>: The Two’s Complement is used to represent both positive and negative numbers in binary. The key features are:<\/p>\n\n\n\n Convert the following to its Two’s Complement binary representation. If in decimal or hexadecimal, convert to binary first. Use as many bits as you deem necessary. a. 0b 1000 b. 0b 1110 c. 0d 7 d. d 0 e. 0d 15 f. 0x C4 g. 0x FF The correct answer and explanation is: To convert […]<\/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-269823","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/269823","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=269823"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/269823\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=269823"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=269823"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=269823"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}a. 0b 1000 (Binary)<\/h3>\n\n\n\n
00001000<\/code><\/p>\n\n\n\nb. 0b 1110 (Binary)<\/h3>\n\n\n\n
00001110<\/code><\/p>\n\n\n\nc. 0d 7 (Decimal)<\/h3>\n\n\n\n
0111<\/code> (in 4 bits for simplicity).<\/p>\n\n\n\n00000111<\/code><\/p>\n\n\n\nd. 0d 0 (Decimal)<\/h3>\n\n\n\n
0<\/code>. For the Two’s Complement, it remains zero.<\/p>\n\n\n\n00000000<\/code><\/p>\n\n\n\ne. 0d 15 (Decimal)<\/h3>\n\n\n\n
1111<\/code>. To represent it in Two\u2019s Complement:<\/p>\n\n\n\n00001111<\/code><\/p>\n\n\n\nf. 0x C4 (Hexadecimal)<\/h3>\n\n\n\n
11000100<\/code>.<\/p>\n\n\n\n11000100<\/code><\/p>\n\n\n\ng. 0x FF (Hexadecimal)<\/h3>\n\n\n\n
11111111<\/code>. This is a negative number in Two’s Complement. For an 8-bit representation, FF represents -1<\/code> in Two\u2019s complement, as the most significant bit (MSB) is 1 (indicating negativity).<\/p>\n\n\n\n11111111<\/code><\/p>\n\n\n\nExplanation<\/h3>\n\n\n\n
\n