If 1 is added to the one's complement, the resulting number is two's complement of the original binary number. For example, lets take a number "0110", its 1's complement is "1001", add 1 and the result is "1010". The result "1010" is 2's complement of "0110". From the table below, note that "0110" represents +6, and "1010" represents -6.
Two's complement representation table...
Decimal number Two's complement
0 0000
1 0001
2 0010
3 0011
4 0100
5 0101
6 0110
7 0111
-8 1000
-7 1001
-6 1010
-5 1011
-4 1100
-3 1101
-2 1110
-1 1111
-0 -