Two's Complement (2's Complement)

Two's complement is a representation of signed integers in binary code. An N-bit two's complement code can represent the range of integers from -(2^N-1) to 2^N-1-1. The negation of the two's complement number n is not(n)+1. The following table shows how a 4-bit binary code represents unsigned integers and two's complement signed integers.

Binary code	Unsigned integer	Signed integer
0000	0	0
0001	1	1
0010	2	2
0011	3	3
0100	4	4
0101	5	5
0110	6	6
0111	7	7
1000	8	-8
1001	9	-7
1010	10	-6
1011	11	-5
1100	12	-4
1101	13	-3
1110	14	-2
1111	15	-1