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Encoding format for number in computer systems
| Date: | 2022-08-28 13:00:00 |
| Description: | Some encoding format for number in computer system. |
| Keywords: | Encoding, Signed encodings, Two's Complement Encodings, Inverse code |
| Category: | engineering_technology/computer/general/other |
| Tag: | encoding |
| Link: | https://www.diewuxi.com/blog/article/68.html |
Some encoding format for number in computer system.
Signed Encodings
X_ori = X_r x \in [0, 2^{n-1})
X_ori = 2^{n-1} - X_r x \in (-2^{n-1}, 0]
X_ori = X_r x \in [0, 1)
X_ori = 1 - X_r x \in (-1, 0]
Two's Complement Encodings
X_com = X_r x \in [0, 2^{n})
X_com = 2^{n+1} + X_r x \in [-2^{n}, 0)
X_com = X_r x \in [0, 1)
X_com = 2 + X_r x \in [-1, 0)
Inverse code
X_inv = X_r x \in [0, 2^{n})
X_inv = 2^{n+1} -1 + X_r x \in (-2^{n}, 0]
X_com = X_r x \in [0, 1)
X_com = (2 - 2_{-n} + X_r x \in (-1, 0]
Last modified: 2022-08-28
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