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Test 3 Digital Logic | Computer Science(CS)
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Assuming all numbers are in 2's complement representation, which of the following numbers is divisible by 11111011?
AnswerClick to flip back
A
11100111
💡 Explanation:
We can't judge the no's in 2's complement first we need to convert them in decimal
Given no. $ 11111011 \rightarrow 00000101 = 5 $
$ 11100111 \rightarrow 00011001 = 25 $
$ 11100100 \rightarrow 00011100 = 28 $
$ 11010111 \rightarrow 00101001 = 41 $
$ 11011011 \rightarrow 00100101 = 37 $
From all only option (1) is divisible by 5.
Shortcut: To convert 2's complement no. directly into original binary,
we should complement all the digits from MSB till the last one (1).
Keep the last 1 from the LSB as it is. Observe the example.