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zk/Twos_complement.md
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@ -72,7 +72,17 @@ $$
integers is the same as the implementation of positive integers. There is no integers is the same as the implementation of positive integers. There is no
need for additional harware or special handling of the values. need for additional harware or special handling of the values.
- This can be contrasted with the alternative approaches to signing numbers such - This can be contrasted with the alternative approaches to signing numbers such
as as **signed magnitude representation** which uses certain bits as designators
of negative/positive status.
### Limitations
- Two's complement reduces the overall informational capacity of the given
binary word length, effectively halving the total number of unique values.
- In a 4-bit system instead of 16 total unique encodings of integers you have 8
encodings for positive integers and 8 encodings for the their signed
equivalent.
## Related notes ## Related notes