Explain 1'complement and 2's complement with two example'[Computer]​

Explanation:

Computer only knows 0s and 1s so the 1's and 2's complement are used for doing math.

1's complement of a number is when a number is shown in binary form, its 0s and 1s are all flipped. For example, 8 in binary is 1000b and its 1s complement is 0111b which is equal to 7.

2's complement of a number is a number's 1's complement plus one. In the last example, the 2's complement of 8 is 0111b + 1 = 1000b which is 8. So the 2's complement of 8 is 8 itself!

Explanation:

both are for binary number:

1's complement is to toggle all of its bits, i.e., transforming the 0 bit to 1 and the 1 bit to 0. Example: a 8-bit number: 1010 1010; its 1's complement is 0101 0101.

2's complement is 1's complement plus 1. With the above example, 2's compliment of 1010 1010 is 0101 0101 + 1 = 0101 0110.