{"id":92905,"date":"2025-06-01T11:35:04","date_gmt":"2025-06-01T11:35:04","guid":{"rendered":"https:\/\/exam.pscnotes.com\/mcq\/?p=92905"},"modified":"2025-06-01T11:35:04","modified_gmt":"2025-06-01T11:35:04","slug":"convert-1ac-in-hexadecimal-into-a-decimal-number","status":"publish","type":"post","link":"https:\/\/exam.pscnotes.com\/mcq\/convert-1ac-in-hexadecimal-into-a-decimal-number\/","title":{"rendered":"Convert 1AC in hexadecimal into a decimal number."},"content":{"rendered":"

Convert 1AC in hexadecimal into a decimal number.<\/p>\n

[amp_mcq option1=”428″ option2=”424″ option3=”408″ option4=”420″ correct=”option1″]<\/p>\n

\n
\n
This question was previously asked in<\/div>\n
UPSC CISF-AC-EXE – 2020<\/div>\n<\/div>\n
Download PDF<\/a>Attempt Online<\/a><\/div>\n<\/div>\n
\nTo convert a hexadecimal number (base 16) to a decimal number (base 10), we multiply each digit by its corresponding power of 16 and sum the results. The hexadecimal number is 1AC.
\nStarting from the rightmost digit, the powers of 16 are $16^0, 16^1, 16^2$, and so on.
\nIn hexadecimal, A represents 10, B represents 11, C represents 12.
\n$1AC_{16} = 1 \\times 16^2 + A \\times 16^1 + C \\times 16^0$
\n$ = 1 \\times 256 + 10 \\times 16 + 12 \\times 1$
\n$ = 256 + 160 + 12$
\n$ = 416 + 12 = 428$.
\nThe decimal equivalent is 428.
\n<\/section>\n
\n– Hexadecimal uses digits 0-9 and letters A-F to represent values 0-15.
\n– Conversion to decimal involves summing products of digits and powers of the base (16).
\n– The position of the digit determines the power of 16.
\n<\/section>\n
\nHexadecimal is often used in computing as a compact representation of binary data because $16 = 2^4$, meaning each hexadecimal digit represents exactly four binary bits.
\n<\/section>\n","protected":false},"excerpt":{"rendered":"

Convert 1AC in hexadecimal into a decimal number. [amp_mcq option1=”428″ option2=”424″ option3=”408″ option4=”420″ correct=”option1″] This question was previously asked in UPSC CISF-AC-EXE – 2020 Download PDFAttempt Online To convert a hexadecimal number (base 16) to a decimal number (base 10), we multiply each digit by its corresponding power of 16 and sum the results. The … <\/p>\n

Detailed SolutionConvert 1AC in hexadecimal into a decimal number.<\/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":[1288,1113],"class_list":["post-92905","post","type-post","status-publish","format-standard","hentry","category-upsc-cisf-ac-exe","tag-1288","tag-information-and-communication-technology","no-featured-image-padding"],"yoast_head":"\nConvert 1AC in hexadecimal into a decimal number.<\/title>\n<meta name=\"description\" content=\"To convert a hexadecimal number (base 16) to a decimal number (base 10), we multiply each digit by its corresponding power of 16 and sum the results. The hexadecimal number is 1AC. Starting from the rightmost digit, the powers of 16 are $16^0, 16^1, 16^2$, and so on. In hexadecimal, A represents 10, B represents 11, C represents 12. $1AC_{16} = 1 times 16^2 + A times 16^1 + C times 16^0$ $ = 1 times 256 + 10 times 16 + 12 times 1$ $ = 256 + 160 + 12$ $ = 416 + 12 = 428$. The decimal equivalent is 428. - Hexadecimal uses digits 0-9 and letters A-F to represent values 0-15. - Conversion to decimal involves summing products of digits and powers of the base (16). - The position of the digit determines the power of 16.\" \/>\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\/convert-1ac-in-hexadecimal-into-a-decimal-number\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Convert 1AC in hexadecimal into a decimal number.\" \/>\n<meta property=\"og:description\" content=\"To convert a hexadecimal number (base 16) to a decimal number (base 10), we multiply each digit by its corresponding power of 16 and sum the results. The hexadecimal number is 1AC. Starting from the rightmost digit, the powers of 16 are $16^0, 16^1, 16^2$, and so on. In hexadecimal, A represents 10, B represents 11, C represents 12. $1AC_{16} = 1 times 16^2 + A times 16^1 + C times 16^0$ $ = 1 times 256 + 10 times 16 + 12 times 1$ $ = 256 + 160 + 12$ $ = 416 + 12 = 428$. The decimal equivalent is 428. - Hexadecimal uses digits 0-9 and letters A-F to represent values 0-15. - Conversion to decimal involves summing products of digits and powers of the base (16). - The position of the digit determines the power of 16.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/exam.pscnotes.com\/mcq\/convert-1ac-in-hexadecimal-into-a-decimal-number\/\" \/>\n<meta property=\"og:site_name\" content=\"MCQ and Quiz for Exams\" \/>\n<meta property=\"article:published_time\" content=\"2025-06-01T11:35:04+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":"Convert 1AC in hexadecimal into a decimal number.","description":"To convert a hexadecimal number (base 16) to a decimal number (base 10), we multiply each digit by its corresponding power of 16 and sum the results. The hexadecimal number is 1AC. Starting from the rightmost digit, the powers of 16 are $16^0, 16^1, 16^2$, and so on. In hexadecimal, A represents 10, B represents 11, C represents 12. $1AC_{16} = 1 times 16^2 + A times 16^1 + C times 16^0$ $ = 1 times 256 + 10 times 16 + 12 times 1$ $ = 256 + 160 + 12$ $ = 416 + 12 = 428$. The decimal equivalent is 428. - Hexadecimal uses digits 0-9 and letters A-F to represent values 0-15. - Conversion to decimal involves summing products of digits and powers of the base (16). - The position of the digit determines the power of 16.","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\/convert-1ac-in-hexadecimal-into-a-decimal-number\/","og_locale":"en_US","og_type":"article","og_title":"Convert 1AC in hexadecimal into a decimal number.","og_description":"To convert a hexadecimal number (base 16) to a decimal number (base 10), we multiply each digit by its corresponding power of 16 and sum the results. The hexadecimal number is 1AC. Starting from the rightmost digit, the powers of 16 are $16^0, 16^1, 16^2$, and so on. In hexadecimal, A represents 10, B represents 11, C represents 12. $1AC_{16} = 1 times 16^2 + A times 16^1 + C times 16^0$ $ = 1 times 256 + 10 times 16 + 12 times 1$ $ = 256 + 160 + 12$ $ = 416 + 12 = 428$. The decimal equivalent is 428. - Hexadecimal uses digits 0-9 and letters A-F to represent values 0-15. - Conversion to decimal involves summing products of digits and powers of the base (16). - The position of the digit determines the power of 16.","og_url":"https:\/\/exam.pscnotes.com\/mcq\/convert-1ac-in-hexadecimal-into-a-decimal-number\/","og_site_name":"MCQ and Quiz for Exams","article_published_time":"2025-06-01T11:35:04+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\/convert-1ac-in-hexadecimal-into-a-decimal-number\/","url":"https:\/\/exam.pscnotes.com\/mcq\/convert-1ac-in-hexadecimal-into-a-decimal-number\/","name":"Convert 1AC in hexadecimal into a decimal number.","isPartOf":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/#website"},"datePublished":"2025-06-01T11:35:04+00:00","dateModified":"2025-06-01T11:35:04+00:00","author":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/#\/schema\/person\/5807dafeb27d2ec82344d6cbd6c3d209"},"description":"To convert a hexadecimal number (base 16) to a decimal number (base 10), we multiply each digit by its corresponding power of 16 and sum the results. The hexadecimal number is 1AC. Starting from the rightmost digit, the powers of 16 are $16^0, 16^1, 16^2$, and so on. In hexadecimal, A represents 10, B represents 11, C represents 12. $1AC_{16} = 1 \\times 16^2 + A \\times 16^1 + C \\times 16^0$ $ = 1 \\times 256 + 10 \\times 16 + 12 \\times 1$ $ = 256 + 160 + 12$ $ = 416 + 12 = 428$. The decimal equivalent is 428. - Hexadecimal uses digits 0-9 and letters A-F to represent values 0-15. - Conversion to decimal involves summing products of digits and powers of the base (16). - The position of the digit determines the power of 16.","breadcrumb":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/convert-1ac-in-hexadecimal-into-a-decimal-number\/#breadcrumb"},"inLanguage":"en-US","potentialAction":[{"@type":"ReadAction","target":["https:\/\/exam.pscnotes.com\/mcq\/convert-1ac-in-hexadecimal-into-a-decimal-number\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/exam.pscnotes.com\/mcq\/convert-1ac-in-hexadecimal-into-a-decimal-number\/#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":"Convert 1AC in hexadecimal into a decimal number."}]},{"@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\/92905","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=92905"}],"version-history":[{"count":0,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/posts\/92905\/revisions"}],"wp:attachment":[{"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/media?parent=92905"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/categories?post=92905"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/tags?post=92905"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}