{"id":4189,"date":"2024-03-05T16:02:22","date_gmt":"2024-03-05T16:02:22","guid":{"rendered":"https:\/\/exam.pscnotes.com\/mcq\/?p=4189"},"modified":"2024-03-05T16:02:22","modified_gmt":"2024-03-05T16:02:22","slug":"what-is-the-decimal-equivalent-of-the-binary-number-10101","status":"publish","type":"post","link":"https:\/\/exam.pscnotes.com\/mcq\/what-is-the-decimal-equivalent-of-the-binary-number-10101\/","title":{"rendered":"What is the decimal equivalent of the binary number 10101 ?"},"content":{"rendered":"<p>[amp_mcq option1=&#8221;17&#8243; option2=&#8221;37&#8243; option3=&#8221;21&#8243; option4=&#8221;23&#8243; correct=&#8221;option1&#8243;]<!--more--><\/p>\n<p>The correct answer is (a) 17.<\/p>\n<p>To convert a binary number to decimal, you multiply each digit by the power of 2 corresponding to its position, starting from the right. The position of the rightmost digit is 2^0, the position of the next digit to the left is 2^1, and so on.<\/p>\n<p>In the binary number 10101, the rightmost digit is 1, so we multiply it by 2^0. The next digit to the left is 0, so we multiply it by 2^1. The next digit to the left is 1, so we multiply it by 2^2. The next digit to the left is 0, so we multiply it by 2^3. And the last digit to the left is 1, so we multiply it by 2^4.<\/p>\n<p>1 * 2^0 = 1<br \/>\n0 * 2^1 = 0<br \/>\n1 * 2^2 = 4<br \/>\n0 * 2^3 = 0<br \/>\n1 * 2^4 = 16<\/p>\n<p>Adding up the products of each digit and its corresponding power of 2, we get 1 + 0 + 4 + 0 + 16 = 17.<\/p>\n<p>Therefore, the decimal equivalent of the binary number 10101 is 17.<\/p>\n<p>Option (b), 37, is incorrect because 37 is not the decimal equivalent of the binary number 10101.<\/p>\n<p>Option (c), 21, is incorrect because 21 is not the decimal equivalent of the binary number 10101.<\/p>\n<p>Option (d), 23, is incorrect because 23 is not the decimal equivalent of the binary number 10101.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>[amp_mcq option1=&#8221;17&#8243; option2=&#8221;37&#8243; option3=&#8221;21&#8243; option4=&#8221;23&#8243; 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":[31],"tags":[],"class_list":["post-4189","post","type-post","status-publish","format-standard","hentry","category-computer-science","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>What is the decimal equivalent of the binary number 10101 ?<\/title>\n<meta name=\"description\" content=\"To convert a binary number to decimal, you multiply each digit by the power of 2 corresponding to its position, starting from the right. 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