{"id":43156,"date":"2024-04-15T21:25:26","date_gmt":"2024-04-15T21:25:26","guid":{"rendered":"https:\/\/exam.pscnotes.com\/mcq\/?p=43156"},"modified":"2024-04-15T21:25:26","modified_gmt":"2024-04-15T21:25:26","slug":"conversion-of-hexadecimal-number-1d7f16-to-a-decimal-number-is","status":"publish","type":"post","link":"https:\/\/exam.pscnotes.com\/mcq\/conversion-of-hexadecimal-number-1d7f16-to-a-decimal-number-is\/","title":{"rendered":"Conversion of hexadecimal number 1D7F16 to a decimal number is"},"content":{"rendered":"<p>[amp_mcq option1=&#8221;755110&#8243; option2=&#8221;877110&#8243; option3=&#8221;555710&#8243; option4=&#8221;778110 E. None of the above&#8221; correct=&#8221;option1&#8243;]<!--more--><\/p>\n<p>The correct answer is $\\boxed{\\text{D. }77810}$.<\/p>\n<p>To convert a hexadecimal number to a decimal number, you can use the following formula:<\/p>\n<p>$$decimal = \\sum_{i=0}^{n-1} d_i \\cdot 16^i$$<\/p>\n<p>where $d_i$ is the $i$th digit of the hexadecimal number, starting from the right, and $n$ is the number of digits in the hexadecimal number.<\/p>\n<p>In the case of the hexadecimal number $1D7F16$, we have:<\/p>\n<p>$$decimal = 1 \\cdot 16^3 + 13 \\cdot 16^2 + 7 \\cdot 16^1 + 15 \\cdot 16^0 = 77810$$<\/p>\n<p>Here is a brief explanation of each option:<\/p>\n<ul>\n<li>Option A: $755110$ is not a valid decimal number.<\/li>\n<li>Option B: $877110$ is not a valid decimal number.<\/li>\n<li>Option C: $555710$ is not a valid decimal number.<\/li>\n<li>Option D: $77810$ is the correct answer.<\/li>\n<li>Option E: None of the above is the correct answer.<\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>[amp_mcq option1=&#8221;755110&#8243; option2=&#8221;877110&#8243; option3=&#8221;555710&#8243; option4=&#8221;778110 E. None of the above&#8221; correct=&#8221;option1&#8243;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[727],"tags":[],"class_list":["post-43156","post","type-post","status-publish","format-standard","hentry","category-computer-fundamental-miscellaneous","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>Conversion of hexadecimal number 1D7F16 to a decimal number is<\/title>\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\/conversion-of-hexadecimal-number-1d7f16-to-a-decimal-number-is\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Conversion of hexadecimal number 1D7F16 to a decimal number is\" \/>\n<meta property=\"og:description\" content=\"[amp_mcq option1=&#8221;755110&#8243; option2=&#8221;877110&#8243; option3=&#8221;555710&#8243; option4=&#8221;778110 E. 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