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GATE CSE 2023 Q32: Convert 132 from radix 4 to radix 5

Question

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

Try it: numerical answer: type the value

Numerical answer. No negative marking.
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Answer: 110 (official GATE 2023 final answer key)

Concept used: Base conversion through decimal.

First step: Evaluate (132)4=1⋅16+3⋅4+2(132)_4 = 1 \cdot 16 + 3 \cdot 4 + 2, then divide repeatedly by 5.

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Source: official GATE 2023 CS question paper and final answer key, organised by IIT Kanpur. Question paper · Answer key