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Question

The 2's complement of a binary no. is obtained by adding _______ to its 1's complement.

A
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B
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C
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D
12
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E
None of the above
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Solution

The correct option is B 1

The 2's complement of a binary no. is obtained by adding 0 to its 1's complement.

The ones' complement of a binary number is defined as the value obtained by inverting all the bits in the binary representation of the number (swapping 0s for 1s and vice versa). The ones' complement of the number then behaves like the negative of the original number in some arithmetic operations.

The two's complement of zero is zero: inverting gives all ones, and adding one changes the ones back to zeros (since the overflow is ignored). Furthermore, the two's complement of the most negative number representable (e.g. a one as the most-significant bit and all other bits zero) is itself.


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