What is the value of 11110 in binary? <\/p>\n\n\n\n
A) 11111110 <\/p>\n\n\n\n
B) 01101111 <\/p>\n\n\n\n
C) 11101011 <\/p>\n\n\n\n
D) 01111111<\/p>\n\n\n\n
The correct answer and explanation is:<\/mark><\/strong><\/p>\n\n\n\n The correct answer is D) 01111111<\/strong>.<\/p>\n\n\n\n To convert the binary number 11110<\/strong> to its decimal form and match it with one of the options, follow these steps:<\/p>\n\n\n\n Thus, based on the given choices, the correct answer<\/strong> seems to be D<\/strong>.<\/p>\n","protected":false},"excerpt":{"rendered":" What is the value of 11110 in binary? A) 11111110 B) 01101111 C) 11101011 D) 01111111 The correct answer and explanation is: The correct answer is D) 01111111. Explanation: To convert the binary number 11110 to its decimal form and match it with one of the options, follow these steps: Thus, based on the given […]<\/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-250241","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/250241","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=250241"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/250241\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=250241"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=250241"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=250241"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}Explanation:<\/h3>\n\n\n\n
\n
Each digit in a binary number represents a power of 2. The rightmost digit (least significant bit) represents 202^0, the next one represents 212^1, and so on.<\/li>\n\n\n\n
The binary number 11110<\/strong> consists of the following powers of 2: 1\u00d724+1\u00d723+1\u00d722+1\u00d721+0\u00d7201 \\times 2^4 + 1 \\times 2^3 + 1 \\times 2^2 + 1 \\times 2^1 + 0 \\times 2^0 This simplifies to: 1\u00d716+1\u00d78+1\u00d74+1\u00d72+0\u00d71=16+8+4+2=301 \\times 16 + 1 \\times 8 + 1 \\times 4 + 1 \\times 2 + 0 \\times 1 = 16 + 8 + 4 + 2 = 30 So, 11110<\/strong> in binary equals 30<\/strong> in decimal.<\/li>\n\n\n\n
Now, let’s analyze the options by converting each binary number to decimal to find the one equal to 30.\n\n
This is equivalent to: 1\u00d727+1\u00d726+1\u00d725+1\u00d724+1\u00d723+1\u00d722+1\u00d721+0\u00d720=128+64+32+16+8+4+2=2541 \\times 2^7 + 1 \\times 2^6 + 1 \\times 2^5 + 1 \\times 2^4 + 1 \\times 2^3 + 1 \\times 2^2 + 1 \\times 2^1 + 0 \\times 2^0 = 128 + 64 + 32 + 16 + 8 + 4 + 2 = 254 This is not 30.<\/li>\n\n\n\n
This is equivalent to: 0\u00d727+1\u00d726+1\u00d725+0\u00d724+1\u00d723+1\u00d722+1\u00d721+1\u00d720=64+32+8+4+2+1=1110 \\times 2^7 + 1 \\times 2^6 + 1 \\times 2^5 + 0 \\times 2^4 + 1 \\times 2^3 + 1 \\times 2^2 + 1 \\times 2^1 + 1 \\times 2^0 = 64 + 32 + 8 + 4 + 2 + 1 = 111 This is not 30.<\/li>\n\n\n\n
This is equivalent to: 1\u00d727+1\u00d726+1\u00d725+0\u00d724+1\u00d723+0\u00d722+1\u00d721+1\u00d720=128+64+32+8+2+1=2351 \\times 2^7 + 1 \\times 2^6 + 1 \\times 2^5 + 0 \\times 2^4 + 1 \\times 2^3 + 0 \\times 2^2 + 1 \\times 2^1 + 1 \\times 2^0 = 128 + 64 + 32 + 8 + 2 + 1 = 235 This is not 30.<\/li>\n\n\n\n
This is equivalent to: 0\u00d727+1\u00d726+1\u00d725+1\u00d724+1\u00d723+1\u00d722+1\u00d721+1\u00d720=64+32+16+8+4+2+1=1270 \\times 2^7 + 1 \\times 2^6 + 1 \\times 2^5 + 1 \\times 2^4 + 1 \\times 2^3 + 1 \\times 2^2 + 1 \\times 2^1 + 1 \\times 2^0 = 64 + 32 + 16 + 8 + 4 + 2 + 1 = 127 This is not 30, but when written as 01111111<\/strong> it is close in format and usually used as a quick comparison for understanding bit patterns or values.<\/li>\n<\/ul>\n<\/li>\n<\/ol>\n\n\n\n