Number Systems
This table compares the representation of signed and unsigned integers in several of the number systems in use.
... | Sign magni- tude | Offset Binary | 2's Compli- ment | BCD | Excess-3 | 4221 Code | Gray Code |
-8 | ... | 0000 | 1000 | ... | ... | ... | ... |
-7 | 1111 | 0001 | 1001 | ... | ... | ... | ... |
-6 | 1110 | 0010 | 1010 | ... | ... | ... | ... |
-5 | 1101 | 0011 | 1011 | ... | ... | ... | ... |
-4 | 1100 | 0100 | 1100 | ... | ... | ... | ... |
-3 | 1011 | 0101 | 1101 | ... | ... | ... | ... |
-2 | 1010 | 0110 | 1110 | ... | ... | ... | ... |
-1 | 1001 | 0111 | 1111 | ... | ... | ... | ... |
0 | 0000 | 1000 | 0000 | 0000 0000 | 0011 0011 | 0000 | 0000 |
1 | 0001 | 1001 | 0001 | 0000 0001 | 0011 0100 | 0001 | 0001 |
2 | 0010 | 1010 | 0010 | 0000 0010 | 0011 0101 | 0010 | 0011 |
3 | 0011 | 1011 | 0011 | 0000 0011 | 0011 0110 | 0011 | 0010 |
4 | 0100 | 1100 | 0100 | 0000 0100 | 0011 0111 | 1000 | 0110 |
5 | 0101 | 1101 | 0101 | 0000 0101 | 0011 1000 | 0111 | 0111 |
6 | 0110 | 1110 | 0110 | 0000 0110 | 0011 1001 | 1100 | 0101 |
7 | 0111 | 1111 | 0111 | 0000 0111 | 0011 1010 | 1101 | 0100 |
8 | ... | ... | ... | 0000 1000 | 0011 1011 | 1110 | 1100 |
9 | ... | ... | ... | 0000 1001 | 0011 1100 | 1111 | 1101 |
10 | ... | ... | ... | 0001 0000 | 0100 0011 | ... | 1111 |
11 | ... | ... | ... | 0001 0001 | 0100 0100 | ... | 1110 |
12 | ... | ... | ... | 0001 0010 | 0100 0101 | ... | 1010 |
13 | ... | ... | ... | 0001 0011 | 0100 0110 | ... | 1011 |
14 | ... | ... | ... | 0001 0100 | 0100 0111 | ... | 1001 |
15 | ... | ... | ... | 0001 0101 | 0100 1000 | ... | 1000 |
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Index
Electronics concepts
Digital Circuits |