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JAMIA 2025 — Computer PYQ

JAMIA | Computer | 2025

Assuming all numbers are in 2's complement representation, which of the following numbers is divisible by 11111011?

Choose the correct answer:

Explanation

1. Divisor ki value ( $11111011$ )

2's complement mein decimal nikalne ke liye:

Invert: $00000100$
Add 1: $00000100 + 1 = 00000101 \rightarrow 5$
Value: $-5$

2. Answer ki value ( $11100111$ )

Iska decimal nikalne ke liye:

Invert: $00011000$
Add 1: $00011000 + 1 = 00011001 \rightarrow 25$
Value: $-25$

3. Check Divisibility

Dono values ko divide karo:

\frac{-25}{-5} = 5

Remainder $0$ hai, iska matlab $11100111$ perfectly divisible hai.

Sahi Answer: $11100111$