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Miloslav Ciz 2023-03-24 23:36:57 +01:00
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twos_complement.md
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Two's complement is an elegant way of encoding signed (i.e. potentially negative) integer (and possibly also [fixed point](fixed_point.md)) numbers in [binary](binary.md). It is one of the most basic concepts to know as a programmer; for its simplicity and nice properties two's complement is the way that's used to represent binary integers almost everywhere nowadays. Other ways of encoding singed numbers, mainly [sign-magnitude](sign_magnitude.md) and [one's complement](ones_complement.md), are basically always inferior.
Why is two's complement so great? It's most notable advantages are:
Why is two's complement so great? Its most notable advantages are:
- **There if only one [zero](zero.md) value** (while other encodings such as sign-magnitude and one's complement have positive and negative zero which wastes values and complicates algorithms).
- **Highest bit indicates the number sign** in the same way as e.g. in sign-magnitude and one's complement representations, i.e. determining whether a number is positive or negative is just as easy as in the more naive representations.