Project ForgeDiscrete Mathematics
Number Theory & Modular Arithmetic
GATE 2023
Medium
A particular number is written as 132 in radix-4 representation. The same number in radix-5 representation is ____.
110
Explanation
132 in radix-4 = 1×16 + 3×4 + 2×1 = 16+12+2 = 30 in decimal. Converting 30 to radix-5: 30 = 1×25 + 1×5 + 0×1, giving digits 1,1,0 → '110' in radix-5.
Source: GATE CS 2023 (2023)
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