{"id":92281,"date":"2025-06-01T11:19:53","date_gmt":"2025-06-01T11:19:53","guid":{"rendered":"https:\/\/exam.pscnotes.com\/mcq\/?p=92281"},"modified":"2025-06-01T11:19:53","modified_gmt":"2025-06-01T11:19:53","slug":"what-is-the-decimal-equivalent-of-the-octal-number-325-412","status":"publish","type":"post","link":"https:\/\/exam.pscnotes.com\/mcq\/what-is-the-decimal-equivalent-of-the-octal-number-325-412\/","title":{"rendered":"What is the decimal equivalent of the octal number 325.412?"},"content":{"rendered":"

What is the decimal equivalent of the octal number 325.412?<\/p>\n

[amp_mcq option1=”5195.213″ option2=”339.5195″ option3=”5195.339″ option4=”213.5195″ correct=”option4″]<\/p>\n

\n
\n
This question was previously asked in<\/div>\n
UPSC CBI DSP LDCE – 2023<\/div>\n<\/div>\n
Download PDF<\/a>Attempt Online<\/a><\/div>\n<\/div>\n
\nTo convert an octal number (base 8) to a decimal number (base 10), we multiply each digit by the corresponding power of 8 and sum the results.
\nFor the integer part (325):
\n3 * 8^2 + 2 * 8^1 + 5 * 8^0
\n= 3 * 64 + 2 * 8 + 5 * 1
\n= 192 + 16 + 5
\n= 213<\/p>\n

For the fractional part (.412):
\n4 * 8^-1 + 1 * 8^-2 + 2 * 8^-3
\n= 4\/8 + 1\/64 + 2\/512
\n= 0.5 + 0.015625 + 0.00390625
\n= 0.51953125<\/p>\n

Combining the parts: 213.51953125…
\nLooking at the options, 213.5195 is the closest representation of the decimal equivalent.
\n<\/section>\n

\nOctal to decimal conversion involves summing the products of each digit and the base (8) raised to the power of its position (positive for integer part, negative for fractional part).
\n<\/section>\n
\nThe position of a digit to the left of the radix point starts at 0 and increases by 1 for each position further left. The position of a digit to the right of the radix point starts at -1 and decreases by 1 for each position further right.
\n<\/section>\n","protected":false},"excerpt":{"rendered":"

What is the decimal equivalent of the octal number 325.412? [amp_mcq option1=”5195.213″ option2=”339.5195″ option3=”5195.339″ option4=”213.5195″ correct=”option4″] This question was previously asked in UPSC CBI DSP LDCE – 2023 Download PDFAttempt Online To convert an octal number (base 8) to a decimal number (base 10), we multiply each digit by the corresponding power of 8 and … <\/p>\n

Detailed SolutionWhat is the decimal equivalent of the octal number 325.412?<\/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":[1086],"tags":[1105,1102],"class_list":["post-92281","post","type-post","status-publish","format-standard","hentry","category-upsc-cbi-dsp-ldce","tag-1105","tag-quantitative-aptitude-and-reasoning","no-featured-image-padding"],"yoast_head":"\nWhat is the decimal equivalent of the octal number 325.412?<\/title>\n<meta name=\"description\" content=\"To convert an octal number (base 8) to a decimal number (base 10), we multiply each digit by the corresponding power of 8 and sum the results. For the integer part (325): 3 * 8^2 + 2 * 8^1 + 5 * 8^0 = 3 * 64 + 2 * 8 + 5 * 1 = 192 + 16 + 5 = 213 For the fractional part (.412): 4 * 8^-1 + 1 * 8^-2 + 2 * 8^-3 = 4\/8 + 1\/64 + 2\/512 = 0.5 + 0.015625 + 0.00390625 = 0.51953125 Combining the parts: 213.51953125... Looking at the options, 213.5195 is the closest representation of the decimal equivalent. Octal to decimal conversion involves summing the products of each digit and the base (8) raised to the power of its position (positive for integer part, negative for fractional part).\" \/>\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\/what-is-the-decimal-equivalent-of-the-octal-number-325-412\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"What is the decimal equivalent of the octal number 325.412?\" \/>\n<meta property=\"og:description\" content=\"To convert an octal number (base 8) to a decimal number (base 10), we multiply each digit by the corresponding power of 8 and sum the results. For the integer part (325): 3 * 8^2 + 2 * 8^1 + 5 * 8^0 = 3 * 64 + 2 * 8 + 5 * 1 = 192 + 16 + 5 = 213 For the fractional part (.412): 4 * 8^-1 + 1 * 8^-2 + 2 * 8^-3 = 4\/8 + 1\/64 + 2\/512 = 0.5 + 0.015625 + 0.00390625 = 0.51953125 Combining the parts: 213.51953125... Looking at the options, 213.5195 is the closest representation of the decimal equivalent. Octal to decimal conversion involves summing the products of each digit and the base (8) raised to the power of its position (positive for integer part, negative for fractional part).\" \/>\n<meta property=\"og:url\" content=\"https:\/\/exam.pscnotes.com\/mcq\/what-is-the-decimal-equivalent-of-the-octal-number-325-412\/\" \/>\n<meta property=\"og:site_name\" content=\"MCQ and Quiz for Exams\" \/>\n<meta property=\"article:published_time\" content=\"2025-06-01T11:19:53+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":"What is the decimal equivalent of the octal number 325.412?","description":"To convert an octal number (base 8) to a decimal number (base 10), we multiply each digit by the corresponding power of 8 and sum the results. For the integer part (325): 3 * 8^2 + 2 * 8^1 + 5 * 8^0 = 3 * 64 + 2 * 8 + 5 * 1 = 192 + 16 + 5 = 213 For the fractional part (.412): 4 * 8^-1 + 1 * 8^-2 + 2 * 8^-3 = 4\/8 + 1\/64 + 2\/512 = 0.5 + 0.015625 + 0.00390625 = 0.51953125 Combining the parts: 213.51953125... Looking at the options, 213.5195 is the closest representation of the decimal equivalent. Octal to decimal conversion involves summing the products of each digit and the base (8) raised to the power of its position (positive for integer part, negative for fractional part).","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\/what-is-the-decimal-equivalent-of-the-octal-number-325-412\/","og_locale":"en_US","og_type":"article","og_title":"What is the decimal equivalent of the octal number 325.412?","og_description":"To convert an octal number (base 8) to a decimal number (base 10), we multiply each digit by the corresponding power of 8 and sum the results. For the integer part (325): 3 * 8^2 + 2 * 8^1 + 5 * 8^0 = 3 * 64 + 2 * 8 + 5 * 1 = 192 + 16 + 5 = 213 For the fractional part (.412): 4 * 8^-1 + 1 * 8^-2 + 2 * 8^-3 = 4\/8 + 1\/64 + 2\/512 = 0.5 + 0.015625 + 0.00390625 = 0.51953125 Combining the parts: 213.51953125... Looking at the options, 213.5195 is the closest representation of the decimal equivalent. Octal to decimal conversion involves summing the products of each digit and the base (8) raised to the power of its position (positive for integer part, negative for fractional part).","og_url":"https:\/\/exam.pscnotes.com\/mcq\/what-is-the-decimal-equivalent-of-the-octal-number-325-412\/","og_site_name":"MCQ and Quiz for Exams","article_published_time":"2025-06-01T11:19:53+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\/what-is-the-decimal-equivalent-of-the-octal-number-325-412\/","url":"https:\/\/exam.pscnotes.com\/mcq\/what-is-the-decimal-equivalent-of-the-octal-number-325-412\/","name":"What is the decimal equivalent of the octal number 325.412?","isPartOf":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/#website"},"datePublished":"2025-06-01T11:19:53+00:00","dateModified":"2025-06-01T11:19:53+00:00","author":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/#\/schema\/person\/5807dafeb27d2ec82344d6cbd6c3d209"},"description":"To convert an octal number (base 8) to a decimal number (base 10), we multiply each digit by the corresponding power of 8 and sum the results. For the integer part (325): 3 * 8^2 + 2 * 8^1 + 5 * 8^0 = 3 * 64 + 2 * 8 + 5 * 1 = 192 + 16 + 5 = 213 For the fractional part (.412): 4 * 8^-1 + 1 * 8^-2 + 2 * 8^-3 = 4\/8 + 1\/64 + 2\/512 = 0.5 + 0.015625 + 0.00390625 = 0.51953125 Combining the parts: 213.51953125... Looking at the options, 213.5195 is the closest representation of the decimal equivalent. Octal to decimal conversion involves summing the products of each digit and the base (8) raised to the power of its position (positive for integer part, negative for fractional part).","breadcrumb":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/what-is-the-decimal-equivalent-of-the-octal-number-325-412\/#breadcrumb"},"inLanguage":"en-US","potentialAction":[{"@type":"ReadAction","target":["https:\/\/exam.pscnotes.com\/mcq\/what-is-the-decimal-equivalent-of-the-octal-number-325-412\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/exam.pscnotes.com\/mcq\/what-is-the-decimal-equivalent-of-the-octal-number-325-412\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Home","item":"https:\/\/exam.pscnotes.com\/mcq\/"},{"@type":"ListItem","position":2,"name":"UPSC CBI DSP LDCE","item":"https:\/\/exam.pscnotes.com\/mcq\/category\/upsc-cbi-dsp-ldce\/"},{"@type":"ListItem","position":3,"name":"What is the decimal equivalent of the octal number 325.412?"}]},{"@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\/92281","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=92281"}],"version-history":[{"count":0,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/posts\/92281\/revisions"}],"wp:attachment":[{"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/media?parent=92281"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/categories?post=92281"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/tags?post=92281"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}