{"id":18889,"date":"2024-04-15T05:32:08","date_gmt":"2024-04-15T05:32:08","guid":{"rendered":"https:\/\/exam.pscnotes.com\/mcq\/?p=18889"},"modified":"2024-04-15T05:32:08","modified_gmt":"2024-04-15T05:32:08","slug":"conversion-of-an-octal-number-1368-to-hexadecimal-number-is-a-7e16-b-5e16-c-5a16-d-5d16-e-none-of-the-above","status":"publish","type":"post","link":"https:\/\/exam.pscnotes.com\/mcq\/conversion-of-an-octal-number-1368-to-hexadecimal-number-is-a-7e16-b-5e16-c-5a16-d-5d16-e-none-of-the-above\/","title":{"rendered":"Conversion of an octal number 1368 to hexadecimal number is A. 7E16 B. 5E16 C. 5A16 D. 5D16 E. None of the above"},"content":{"rendered":"<p>\r\n    <!-- Check if it's an AMP page -->\r\n            <!-- Non-AMP version -->\r\n        <div class=\"mcq-container\" data-quiz-id=\"quizState_6abeced8eab22\">\r\n                                            <div class=\"option\" data-option-key=\"option1\" data-is-correct=\"false\">\r\n                    7.00E+16                <\/div>\r\n                                            <div class=\"option\" data-option-key=\"option2\" data-is-correct=\"false\">\r\n                    5.00E+16                <\/div>\r\n                                            <div class=\"option\" data-option-key=\"option3\" data-is-correct=\"true\">\r\n                    5A16                <\/div>\r\n                                            <div class=\"option\" data-option-key=\"option4\" data-is-correct=\"false\">\r\n                    5D16 E. None of the above                <\/div>\r\n                            \r\n            <!-- Feedback messages for non-AMP -->\r\n            <div class=\"feedback\" data-feedback=\"wrong\">Answer is Right!<\/div>\r\n            <div class=\"feedback\" data-feedback=\"right\">Answer is Wrong!<\/div>\r\n        <\/div>\r\n\r\n        <script>\r\n        document.addEventListener('DOMContentLoaded', function () {\r\n            var containers = document.querySelectorAll('.mcq-container');\r\n\r\n            containers.forEach(function(container) {\r\n                var options = container.querySelectorAll('.option');\r\n                var feedbackSelect = container.querySelector('[data-feedback=\"select\"]');\r\n                var feedbackWrong = container.querySelector('[data-feedback=\"wrong\"]');\r\n                var feedbackRight = container.querySelector('[data-feedback=\"right\"]');\r\n\r\n                options.forEach(function(option) {\r\n                    option.addEventListener('click', function() {\r\n                        var selectedOption = option.getAttribute('data-option-key');\r\n                        var isCorrect = option.getAttribute('data-is-correct') === 'true';\r\n\r\n                        \/\/ Remove previous selections\r\n                        options.forEach(function(opt) {\r\n                            opt.classList.remove('correct', 'incorrect');\r\n                        });\r\n\r\n                        \/\/ Add the correct\/incorrect class\r\n                        if (isCorrect) {\r\n                            option.classList.add('correct');\r\n                            feedbackRight.hidden = false;\r\n                            feedbackWrong.hidden = true;\r\n                        } else {\r\n                            option.classList.add('incorrect');\r\n                            feedbackRight.hidden = true;\r\n                            feedbackWrong.hidden = false;\r\n                        }\r\n\r\n                        \/\/ Hide select feedback\r\n                        feedbackSelect.hidden = true;\r\n                    });\r\n                });\r\n            });\r\n        });\r\n        <\/script>\r\n    \r\n    <!--more--><\/p>\n<p>The correct answer is $\\boxed{\\text{C) }5A_{16}}$.<\/p>\n<p>To convert an octal number to hexadecimal, you can use the following table:<\/p>\n<p>| Octal | Hexadecimal |<br \/>\n|&#8212;|&#8212;|<br \/>\n| 0 | 0 |<br \/>\n| 1 | 1 |<br \/>\n| 2 | 2 |<br \/>\n| 3 | 3 |<br \/>\n| 4 | 4 |<br \/>\n| 5 | 5 |<br \/>\n| 6 | 6 |<br \/>\n| 7 | 7 |<br \/>\n| 8 | 8 |<br \/>\n| 9 | 9 |<br \/>\n| 10 | A |<br \/>\n| 11 | B |<br \/>\n| 12 | C |<br \/>\n| 13 | D |<br \/>\n| 14 | E |<br \/>\n| 15 | F |<\/p>\n<p>To convert 1368 to hexadecimal, we first divide it by 8, giving us 171 with a remainder of 4. We then divide 171 by 8, giving us 21 with a remainder of 5. We then divide 21 by 8, giving us 2 with a remainder of 7. Finally, we divide 2 by 8, giving us 0 with <div class=\"youtube-subscribe-container\">\r\n        <a href=\"https:\/\/www.youtube.com\/channel\/UCNHT8lW-JmLC68rjBfZhdkg?sub_confirmation=1\" target=\"_blank\" class=\"youtube-subscribe-button\">\r\n            <span class=\"youtube-icon\">\r\n                <svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" viewBox=\"0 0 576 512\">\r\n                    <path d=\"M549.7 124.1c-6.3-23.7-24.8-42.3-48.3-48.6C458.8 64 288 64 288 64S117.2 64 74.6 75.5c-23.5 6.3-42 24.9-48.3 48.6-11.4 42.9-11.4 132.3-11.4 132.3s0 89.4 11.4 132.3c6.3 23.7 24.8 41.5 48.3 47.8C117.2 448 288 448 288 448s170.8 0 213.4-11.5c23.5-6.3 42-24.2 48.3-47.8 11.4-42.9 11.4-132.3 11.4-132.3s0-89.4-11.4-132.3zm-317.5 213.5V175.2l142.7 81.2-142.7 81.2z\"\/>\r\n                <\/svg>\r\n            <div class=\"telegram-channel-container\">\r\n        <a href=\"https:\/\/t.me\/pscnotes2025\" target=\"_blank\" class=\"telegram-channel-button\">\r\n            <span class=\"telegram-icon\">\r\n                <svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" viewBox=\"0 0 496 512\">\r\n                    <path fill=\"white\" d=\"M248,8C111,8,0,119,0,256s111,248,248,248s248-111,248-248S385,8,248,8z M362,177L320,367c-3,14-10,18-20,14l-56-41l-27,26 c-3,3-5,5-10,5l4-63L323,196c5-5-1-7-8-3l-98,62l-42-13c-9-3-10-9,2-14l162-63C351,160,365,164,362,177z\"\/>\r\n                <\/svg>\r\n            <\/span>\r\n            Join Our Telegram Channel\r\n        <\/a>\r\n    <\/div> <\/span>\r\n            Subscribe on YouTube\r\n        <\/a>\r\n    <\/div> a remainder of 2.<\/p>\n<p>The hexadecimal equivalent of 1368 is therefore $171_8 = 257_8 = 5A_{16}$.<\/p>\n<p>Option A is incorrect because $7E_{16}$ is not equivalent to $1368_8$.<\/p>\n<p>Option B is incorrect because $5E_{16}$ is not equivalent to $1368_8$.<\/p>\n<p>Option C is correct because $5A_{16}$ is equivalent to $1368_8$.<\/p>\n<p>Option D is incorrect because $5D_{16}$ is not equivalent to $1368_8$.<\/p>\n<p>Option E is incorrect because there is a correct answer.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Join Our Telegram Channel Subscribe on YouTube<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[681],"tags":[],"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 an octal number 1368 to hexadecimal number is A. 7E16 B. 5E16 C. 5A16 D. 5D16 E. 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