Multiple choice

An arbitrary number system has a radix of 32 with ‘0’ to ‘9’ and ‘A’ to ‘V’ as its 32 basic digits, ‘0’ being the first and ‘V’ being the 32nd. The number immediately following ‘V’ in the arbitrary number system will be

  1. (V0)32

  2. (10)32

  3. (V1)32

  4. none of these
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B Correct answer
Explanation

In any number system with radix r, after exhausting all single digits (0 to V, where V is the (r-1)th digit), the next number is written as 10 (meaning 1×r¹ + 0×r⁰). In base-32, 'V' is the 31st digit (index 30), so 'V' is followed by (10)₃₂.

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