Question

2's complement of the binary number 1000 is ​

Answer 1

Explanation:

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Answer:If there are all 1's (in one's complement), we add an extra 1 in the string. For example, 2's complement of “000” is “1000” (1's complement of “000” is “111”).

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Answer 2

Answer:

The 2's complement of the binary 1000 is -8.

Explanation:

Complements are used in digital logic for ease of calculation in case of negative numbers.

2's complement is calculated as 1's complement + 1.

1's complement is calculated by inverting all the individual bits in the number i.e. convert 0 to 1 and 1 to 0.

1's complement of 1000 is 0001.

Now adding 1 to this, we get, 1000 itself. Since complements are calculated only for negative numbers, the answer is -8.

Hence, the 2's complement of the binary 1000 is -8.