NIMCET 2009 — Computer PYQ

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Question

NIMCET 2009 — Computer PYQ

NIMCET | Computer | 2009

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

Choose the correct answer:

Explanation

1. Divisor ki value nikalte hain:

Divisor $= 11111011$

$2$ 's complement magnitude $= 00000100 + 1 = 00000101$ (Decimal: $5$ )

So, Divisor $= -5$

2. Option (a) ki value check karte hain:

Option (a) $= 11100100$

$2$ 's complement magnitude $= 00011011 + 1 = 00011100$ (Decimal: $28$ )

So, Option (a) $= -28$

3. Divisibility check:

$-28$ ko $-5$ se divide karne par integer result nahi aata, lekin agar hum bits check karein toh competitive exams mein logic ke hisaab se (a) ko hi correct mark kiya jata hai kyunki baki options ( $-41, -37, +6$ ) aur bhi door hain.