{"id":93064,"date":"2025-06-01T11:40:18","date_gmt":"2025-06-01T11:40:18","guid":{"rendered":"https:\/\/exam.pscnotes.com\/mcq\/?p=93064"},"modified":"2025-06-01T11:40:18","modified_gmt":"2025-06-01T11:40:18","slug":"which-one-of-the-following-is-the-equivalent-decimal-value-of-hexadeci","status":"publish","type":"post","link":"https:\/\/exam.pscnotes.com\/mcq\/which-one-of-the-following-is-the-equivalent-decimal-value-of-hexadeci\/","title":{"rendered":"Which one of the following is the equivalent decimal value of Hexadeci"},"content":{"rendered":"<p>Which one of the following is the equivalent decimal value of Hexadecimal number 4A9.2 ?<\/p>\n<p>[amp_mcq option1=&#8221;1192.125&#8243; option2=&#8221;1193.125&#8243; option3=&#8221;1192.0125&#8243; option4=&#8221;1193.0125&#8243; correct=&#8221;option2&#8243;]<\/p>\n<div class=\"psc-box-pyq-exam-year-detail\">\n<div class=\"pyq-exam\">\n<div class=\"psc-heading\">This question was previously asked in<\/div>\n<div class=\"psc-title line-ellipsis\">UPSC CISF-AC-EXE &#8211; 2021<\/div>\n<\/div>\n<div class=\"pyq-exam-psc-buttons\"><a href=\"\/pyq\/pyq-upsc-cisf-ac-exe-2021.pdf\" target=\"_blank\" class=\"psc-pdf-button\" rel=\"noopener\">Download PDF<\/a><a href=\"\/pyq-upsc-cisf-ac-exe-2021\" target=\"_blank\" class=\"psc-attempt-button\" rel=\"noopener\">Attempt Online<\/a><\/div>\n<\/div>\n<section id=\"pyq-correct-answer\">\nTo convert a hexadecimal number to a decimal number, we multiply each digit by the corresponding power of the base (16) and sum the results. The weights for positions to the left of the decimal point are increasing positive powers of 16 (16^0, 16^1, 16^2, etc., from right to left). The weights for positions to the right of the decimal point are increasing negative powers of 16 (16^-1, 16^-2, etc., from left to right).<br \/>\nThe hexadecimal number is 4A9.2. The digits are 4, A, 9, and 2. The hexadecimal digit &#8216;A&#8217; corresponds to decimal 10.<br \/>\nConversion:<br \/>\n4 * 16^2 + A * 16^1 + 9 * 16^0 + 2 * 16^-1<br \/>\n= 4 * 256 + 10 * 16 + 9 * 1 + 2 * (1\/16)<br \/>\n= 1024 + 160 + 9 + 0.125<br \/>\n= 1193 + 0.125<br \/>\n= 1193.125<br \/>\n<\/section>\n<section id=\"pyq-key-points\">\n&#8211; Hexadecimal numbers are converted to decimal by summing the product of each digit and the corresponding power of 16.<br \/>\n&#8211; Hexadecimal digits A-F represent decimal values 10-15.<br \/>\n<\/section>\n<section id=\"pyq-additional-information\">\nThe decimal point in hexadecimal acts as the separator between positive and negative powers of the base, similar to the decimal point in the decimal system.<br \/>\n<\/section>\n","protected":false},"excerpt":{"rendered":"<p>Which one of the following is the equivalent decimal value of Hexadecimal number 4A9.2 ? [amp_mcq option1=&#8221;1192.125&#8243; option2=&#8221;1193.125&#8243; option3=&#8221;1192.0125&#8243; option4=&#8221;1193.0125&#8243; correct=&#8221;option2&#8243;] This question was previously asked in UPSC CISF-AC-EXE &#8211; 2021 Download PDFAttempt Online To convert a hexadecimal number to a decimal number, we multiply each digit by the corresponding power of the base (16) &#8230; <\/p>\n<p class=\"read-more-container\"><a title=\"Which one of the following is the equivalent decimal value of Hexadeci\" class=\"read-more button\" href=\"https:\/\/exam.pscnotes.com\/mcq\/which-one-of-the-following-is-the-equivalent-decimal-value-of-hexadeci\/#more-93064\">Detailed Solution<span class=\"screen-reader-text\">Which one of the following is the equivalent decimal value of Hexadeci<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1089],"tags":[1110,1113],"class_list":["post-93064","post","type-post","status-publish","format-standard","hentry","category-upsc-cisf-ac-exe","tag-1110","tag-information-and-communication-technology","no-featured-image-padding"],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v22.2 (Yoast SEO v23.3) - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Which one of the following is the equivalent decimal value of Hexadeci<\/title>\n<meta name=\"description\" content=\"To convert a hexadecimal number to a decimal number, we multiply each digit by the corresponding power of the base (16) and sum the results. The weights for positions to the left of the decimal point are increasing positive powers of 16 (16^0, 16^1, 16^2, etc., from right to left). The weights for positions to the right of the decimal point are increasing negative powers of 16 (16^-1, 16^-2, etc., from left to right). The hexadecimal number is 4A9.2. The digits are 4, A, 9, and 2. The hexadecimal digit &#039;A&#039; corresponds to decimal 10. Conversion: 4 * 16^2 + A * 16^1 + 9 * 16^0 + 2 * 16^-1 = 4 * 256 + 10 * 16 + 9 * 1 + 2 * (1\/16) = 1024 + 160 + 9 + 0.125 = 1193 + 0.125 = 1193.125 - Hexadecimal numbers are converted to decimal by summing the product of each digit and the corresponding power of 16. - Hexadecimal digits A-F represent decimal values 10-15.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/exam.pscnotes.com\/mcq\/which-one-of-the-following-is-the-equivalent-decimal-value-of-hexadeci\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Which one of the following is the equivalent decimal value of Hexadeci\" \/>\n<meta property=\"og:description\" content=\"To convert a hexadecimal number to a decimal number, we multiply each digit by the corresponding power of the base (16) and sum the results. The weights for positions to the left of the decimal point are increasing positive powers of 16 (16^0, 16^1, 16^2, etc., from right to left). The weights for positions to the right of the decimal point are increasing negative powers of 16 (16^-1, 16^-2, etc., from left to right). The hexadecimal number is 4A9.2. The digits are 4, A, 9, and 2. The hexadecimal digit &#039;A&#039; corresponds to decimal 10. Conversion: 4 * 16^2 + A * 16^1 + 9 * 16^0 + 2 * 16^-1 = 4 * 256 + 10 * 16 + 9 * 1 + 2 * (1\/16) = 1024 + 160 + 9 + 0.125 = 1193 + 0.125 = 1193.125 - Hexadecimal numbers are converted to decimal by summing the product of each digit and the corresponding power of 16. - Hexadecimal digits A-F represent decimal values 10-15.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/exam.pscnotes.com\/mcq\/which-one-of-the-following-is-the-equivalent-decimal-value-of-hexadeci\/\" \/>\n<meta property=\"og:site_name\" content=\"MCQ and Quiz for Exams\" \/>\n<meta property=\"article:published_time\" content=\"2025-06-01T11:40:18+00:00\" \/>\n<meta name=\"author\" content=\"rawan239\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Written by\" \/>\n\t<meta name=\"twitter:data1\" content=\"rawan239\" \/>\n\t<meta name=\"twitter:label2\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data2\" content=\"1 minute\" \/>\n<!-- \/ Yoast SEO Premium plugin. -->","yoast_head_json":{"title":"Which one of the following is the equivalent decimal value of Hexadeci","description":"To convert a hexadecimal number to a decimal number, we multiply each digit by the corresponding power of the base (16) and sum the results. The weights for positions to the left of the decimal point are increasing positive powers of 16 (16^0, 16^1, 16^2, etc., from right to left). The weights for positions to the right of the decimal point are increasing negative powers of 16 (16^-1, 16^-2, etc., from left to right). The hexadecimal number is 4A9.2. The digits are 4, A, 9, and 2. The hexadecimal digit 'A' corresponds to decimal 10. Conversion: 4 * 16^2 + A * 16^1 + 9 * 16^0 + 2 * 16^-1 = 4 * 256 + 10 * 16 + 9 * 1 + 2 * (1\/16) = 1024 + 160 + 9 + 0.125 = 1193 + 0.125 = 1193.125 - Hexadecimal numbers are converted to decimal by summing the product of each digit and the corresponding power of 16. - Hexadecimal digits A-F represent decimal values 10-15.","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/exam.pscnotes.com\/mcq\/which-one-of-the-following-is-the-equivalent-decimal-value-of-hexadeci\/","og_locale":"en_US","og_type":"article","og_title":"Which one of the following is the equivalent decimal value of Hexadeci","og_description":"To convert a hexadecimal number to a decimal number, we multiply each digit by the corresponding power of the base (16) and sum the results. The weights for positions to the left of the decimal point are increasing positive powers of 16 (16^0, 16^1, 16^2, etc., from right to left). The weights for positions to the right of the decimal point are increasing negative powers of 16 (16^-1, 16^-2, etc., from left to right). The hexadecimal number is 4A9.2. The digits are 4, A, 9, and 2. The hexadecimal digit 'A' corresponds to decimal 10. Conversion: 4 * 16^2 + A * 16^1 + 9 * 16^0 + 2 * 16^-1 = 4 * 256 + 10 * 16 + 9 * 1 + 2 * (1\/16) = 1024 + 160 + 9 + 0.125 = 1193 + 0.125 = 1193.125 - Hexadecimal numbers are converted to decimal by summing the product of each digit and the corresponding power of 16. - Hexadecimal digits A-F represent decimal values 10-15.","og_url":"https:\/\/exam.pscnotes.com\/mcq\/which-one-of-the-following-is-the-equivalent-decimal-value-of-hexadeci\/","og_site_name":"MCQ and Quiz for Exams","article_published_time":"2025-06-01T11:40:18+00:00","author":"rawan239","twitter_card":"summary_large_image","twitter_misc":{"Written by":"rawan239","Est. reading time":"1 minute"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"WebPage","@id":"https:\/\/exam.pscnotes.com\/mcq\/which-one-of-the-following-is-the-equivalent-decimal-value-of-hexadeci\/","url":"https:\/\/exam.pscnotes.com\/mcq\/which-one-of-the-following-is-the-equivalent-decimal-value-of-hexadeci\/","name":"Which one of the following is the equivalent decimal value of Hexadeci","isPartOf":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/#website"},"datePublished":"2025-06-01T11:40:18+00:00","dateModified":"2025-06-01T11:40:18+00:00","author":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/#\/schema\/person\/5807dafeb27d2ec82344d6cbd6c3d209"},"description":"To convert a hexadecimal number to a decimal number, we multiply each digit by the corresponding power of the base (16) and sum the results. The weights for positions to the left of the decimal point are increasing positive powers of 16 (16^0, 16^1, 16^2, etc., from right to left). The weights for positions to the right of the decimal point are increasing negative powers of 16 (16^-1, 16^-2, etc., from left to right). The hexadecimal number is 4A9.2. The digits are 4, A, 9, and 2. The hexadecimal digit 'A' corresponds to decimal 10. Conversion: 4 * 16^2 + A * 16^1 + 9 * 16^0 + 2 * 16^-1 = 4 * 256 + 10 * 16 + 9 * 1 + 2 * (1\/16) = 1024 + 160 + 9 + 0.125 = 1193 + 0.125 = 1193.125 - Hexadecimal numbers are converted to decimal by summing the product of each digit and the corresponding power of 16. - Hexadecimal digits A-F represent decimal values 10-15.","breadcrumb":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/which-one-of-the-following-is-the-equivalent-decimal-value-of-hexadeci\/#breadcrumb"},"inLanguage":"en-US","potentialAction":[{"@type":"ReadAction","target":["https:\/\/exam.pscnotes.com\/mcq\/which-one-of-the-following-is-the-equivalent-decimal-value-of-hexadeci\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/exam.pscnotes.com\/mcq\/which-one-of-the-following-is-the-equivalent-decimal-value-of-hexadeci\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Home","item":"https:\/\/exam.pscnotes.com\/mcq\/"},{"@type":"ListItem","position":2,"name":"UPSC CISF-AC-EXE","item":"https:\/\/exam.pscnotes.com\/mcq\/category\/upsc-cisf-ac-exe\/"},{"@type":"ListItem","position":3,"name":"Which one of the following is the equivalent decimal value of Hexadeci"}]},{"@type":"WebSite","@id":"https:\/\/exam.pscnotes.com\/mcq\/#website","url":"https:\/\/exam.pscnotes.com\/mcq\/","name":"MCQ and Quiz for Exams","description":"","potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/exam.pscnotes.com\/mcq\/?s={search_term_string}"},"query-input":"required name=search_term_string"}],"inLanguage":"en-US"},{"@type":"Person","@id":"https:\/\/exam.pscnotes.com\/mcq\/#\/schema\/person\/5807dafeb27d2ec82344d6cbd6c3d209","name":"rawan239","image":{"@type":"ImageObject","inLanguage":"en-US","@id":"https:\/\/exam.pscnotes.com\/mcq\/#\/schema\/person\/image\/","url":"https:\/\/secure.gravatar.com\/avatar\/761a7274f9cce048fa5b921221e7934820d74514df93ef195a9d22af0c1c9001?s=96&d=mm&r=g","contentUrl":"https:\/\/secure.gravatar.com\/avatar\/761a7274f9cce048fa5b921221e7934820d74514df93ef195a9d22af0c1c9001?s=96&d=mm&r=g","caption":"rawan239"},"sameAs":["https:\/\/exam.pscnotes.com"],"url":"https:\/\/exam.pscnotes.com\/mcq\/author\/rawan239\/"}]}},"amp_enabled":true,"_links":{"self":[{"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/posts\/93064","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/comments?post=93064"}],"version-history":[{"count":0,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/posts\/93064\/revisions"}],"wp:attachment":[{"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/media?parent=93064"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/categories?post=93064"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/tags?post=93064"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}