GATE EE 2024 Set 1 — Question 3
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General Aptitude → Analytical Aptitude → Numerical Relations & Reasoning
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Question
The decimal number system uses the characters 0, 1, 2, …, 8, 9, and the octal number system uses the characters 0, 1, 2, …, 6, 7. For example, the decimal number is expressed as in the octal number system.The decimal number 108 in the octal number system is
Correct answer
(D) 154
Solution
To convert the decimal number 108 to the octal number system, we perform successive division by 8 and record the remainders:
.Thus, the decimal number 108 is 154 in octal.
1. with a remainder of 4.
2. with a remainder of 5.
3. with a remainder of 1.
Reading the remainders from bottom to top, we get 154.Verification:.Thus, the decimal number 108 is 154 in octal.
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