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GATE 2023 CS – Question 32

Digital Logic · Number Representation and Arithmetic · 1 mark · Numerical answer

A particular number is written as 132 in radix-4 representation. The same number in radix-5 representation is ______.

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Correct answer: 110

Explanation

132 in base 4 = 16+12+2 = 30. In base 5, 30 = 1·25 + 1·5 + 0 = 110.