Two’s Complement
(integer representation)
This
method is used to represent negative numbers.
Tens
complement of a number is worked out by adding “1” to the nines complement.
For
example
|
|
9 |
9 |
9 |
8 |
6 |
4 |
+ |
|
|
|
|
|
|
|
1 |
|
|
|
9 |
9 |
9 |
8 |
6 |
5 |
|
This
is the 10s complement of 135
Twos
complement of a number is worked out by adding “1” to the ones complement
For
example
|
|
0 |
1 |
1 |
1 |
1 |
0 |
0 |
0 |
+ |
|
|
|
|
|
|
|
|
|
1 |
|
|
|
0 |
1 |
1 |
1 |
1 |
0 |
0 |
1 |
|
This
is the 2s complement of 1000 0111
The
eight bit representation of 2s complement for 8 to –8
|
|
8 |
|
|
|
0 |
0 |
0 |
0 |
|
1 |
0 |
0 |
0 |
|
|
7 |
|
|
|
0 |
0 |
0 |
0 |
|
0 |
1 |
1 |
1 |
|
|
6 |
|
|
|
0 |
0 |
0 |
0 |
|
0 |
1 |
1 |
0 |
|
|
5 |
|
|
|
0 |
0 |
0 |
0 |
|
0 |
1 |
0 |
1 |
|
|
4 |
|
|
|
0 |
0 |
0 |
0 |
|
0 |
1 |
0 |
0 |
|
|
3 |
|
|
|
0 |
0 |
0 |
0 |
|
0 |
0 |
1 |
1 |
|
|
2 |
|
|
|
0 |
0 |
0 |
0 |
|
0 |
0 |
1 |
0 |
|
|
1 |
|
|
|
0 |
0 |
0 |
0 |
|
0 |
0 |
0 |
1 |
|
|
0 |
|
|
|
0 |
0 |
0 |
0 |
|
0 |
0 |
0 |
0 |
|
|
-1 |
|
|
|
1 |
1 |
1 |
1 |
|
1 |
1 |
1 |
1 |
|
|
-2 |
|
|
|
1 |
1 |
1 |
1 |
|
1 |
1 |
1 |
0 |
|
|
-3 |
|
|
|
1 |
1 |
1 |
1 |
|
1 |
1 |
0 |
1 |
|
|
-4 |
|
|
|
1 |
1 |
1 |
1 |
|
1 |
1 |
0 |
0 |
|
|
-5 |
|
|
|
1 |
1 |
1 |
1 |
|
1 |
0 |
1 |
1 |
|
|
-6 |
|
|
|
1 |
1 |
1 |
1 |
|
1 |
0 |
1 |
0 |
|
|
-7 |
|
|
|
1 |
1 |
1 |
1 |
|
1 |
0 |
0 |
1 |
|
|
-8 |
|
|
|
1 |
1 |
1 |
1 |
|
1 |
0 |
0 |
0 |