|
BINARY |
SIGNED MAGNITUDE VALUE |
1s COMPLEMENT VALUE |
2s COMPLEMENT VALUE |
OFFSET BINARY VALUE (LOW=-8) |
BASE NEGATIVE TWO VALUE |
|
0000 |
0 |
0 |
0 |
-8 |
0 |
|
0001 |
1 |
1 |
1 |
-7 |
1 |
|
0010 |
2 |
2 |
2 |
-6 |
-2 |
|
0011 |
3 |
3 |
3 |
-5 |
-1 |
|
0100 |
4 |
4 |
4 |
-4 |
4 |
|
0101 |
5 |
5 |
5 |
-3 |
5 |
|
0110 |
6 |
6 |
6 |
-2 |
2 |
|
0111 |
7 |
7 |
7 |
-1 |
3 |
|
1000 |
-0 |
-7 |
-8 weird |
0 |
-8 |
|
1001 |
-1 |
-6 |
-7 |
1 |
-7 |
|
1010 |
-2 |
-5 |
-6 |
2 |
-10 |
|
1011 |
-3 |
-4 |
-5 |
3 |
-9 |
|
1100 |
-4 |
-3 |
-4 |
4 |
-4 |
|
1101 |
-5 |
-2 |
-3 |
5 |
-3 |
|
1110 |
-6 |
-1 |
-2 |
6 |
-6 |
|
1111 |
-7 |
-0 |
-1 |
7 |
-5 |
|
EXAMPLE OF 1001 |
The first bit is the sign, so negative. The rest, 001, is 1. So the value is -1. |
The first bit is the sign, so negative. We have to invert 001 back to 110 which is
6. So the
value is -6. |
The first bit is the sign, so negative. We then subtract 1 from 001 to get 000. We now invert that to get 111 which is 7. So the value is -7. |
1001 is the value 9 in unsigned binary. We start at -8 and add 9 to it to get the value 1. |
The first 1 is equal to (-2)^3 or -8. The last 1 is (-2)^0 equal to 1. So the value is -8 + 1 = -7. So the value is -7. |