What is the 2's complement of 0011 0101 1001 1100?

Concept:

1's complement of Binary: 1's complement of a Binary number is defined by the value obtained by inverting all the bit, i.e, 0 as 1 and 1 as 0.

∴ 1's complement of 1100 0110 = 0011 1001

2's complement of Binary: It is the sum of 1's complement of Binary number and 1 to the least significant bit (LSB).

∴ 2's complement = 1's complement + 1 (LSB)

Calculation:

Given Binary Number,

0011 0101 1001 1100

1's complement = 1100 1010 0110 0011

2's complement = 1's complement + 1 (LSB)

 Alternate Method

Note: A shortcut method of forming the 2's complement of a binary number is to copy bits from the right until a one-bit has been copied, then invert the remaining bits i.e, 0 as 1 and 1 as 0.