JAMIA 2026 — Computer PYQ

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Question

JAMIA 2026 — Computer PYQ

JAMIA | Computer | 2026

Which of the following is NOT a decimal number equivalent of a $5$ -bit binary number containing three $1$ s?

Choose the correct answer:

Explanation

1. Understand the Condition:

The question asks for a number that cannot be represented as a $5$ -bit binary number containing exactly three $1$ s (and therefore two $0$ s).

2. Convert Options to Binary:

Option (a) 21:
$21 = 16 + 4 + 1 = 2^{4} + 2^{2} + 2^{0}$
In binary: $1010 1_{2}$
Count of $1$ s: It contains exactly three $1$ s. (Valid)
Option (b) 23:
$23 = 16 + 4 + 2 + 1 = 2^{4} + 2^{2} + 2^{1} + 2^{0}$
In binary: $1011 1_{2}$
Count of $1$ s: It contains four $1$ s. (Invalid condition)
Option (c) 26:
$26 = 16 + 8 + 2 = 2^{4} + 2^{3} + 2^{1}$
In binary: $1101 0_{2}$
Count of $1$ s: It contains exactly three $1$ s. (Valid)
Option (d) 22:
$22 = 16 + 4 + 2 = 2^{4} + 2^{2} + 2^{1}$
In binary: $1011 0_{2}$
Count of $1$ s: It contains exactly three $1$ s. (Valid)

Correct Answer

Option (b) 23 (Since it contains four $1$ s instead of three).