Multiple choice general knowledge

What is minimum number of digits that a binary number should have such that when this number is converted to hexadecimal,It should have atleast 12 digits?

  1. 16

  2. 45

  3. 46

  4. 47

  5. 48
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B Correct answer
Explanation

Hexadecimal needs 4 bits per digit (16 = 2⁴). For 12 hex digits, need bits such that ceil(bits/4) ≥ 12. At 44 bits: 44/4 = 11 hex digits exactly. At 45 bits: 45/4 = 11.25, ceil = 12 hex digits. Minimum is 45 binary digits.

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