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NIMCET 2009

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

Solution

$11111011$ in 2’s complement represents $-5$. 
Only $00000110 = 6$ is divisible by $-5$? No. 

$11011011 = -37$, and $-37$ is divisible by $-5$? No. 

$11010111 = -41$, not divisible. 

$11100100 = -28$, divisible by $-5$? No.
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