Signed number representations: Difference between revisions

Revision as of 04:16, 13 July 2019

Revision as of 04:19, 13 July 2019

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! style="width: 7em" | Two's complement

! style="width: 7em" | Excess-8 (biased)

! style="width: 7em" | Base −2 −2

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| align=right|+16    

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{| class="wikitable" style="text-align: center"

|-

! Binary !! Unsigned !! Sign and magnitude !! Ones' complement !! Two's complement !! Excess-8 !! Base −2 −2

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| 0000 || 0 || 0 || 0 || 0 || −8−8 || 0

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| 0001 || 1 || 1 || 1 || 1 || −7 −7 || 1

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| 0010 || 2 || 2 || 2 || 2 || −6 −6 || −2 −2

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| 0011 || 3 || 3 || 3 || 3 || −5 −5 || −1 −1

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| 0100 || 4 || 4 || 4 || 4 || −4 −4 || 4

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| 0101 || 5 || 5 || 5 || 5 || −3 −3 || 5

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| 0110 || 6 || 6 || 6 || 6 || −2 −2 || 2

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| 0111 || 7 || 7 || 7 || 7 || −1 −1 || 3

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| 1000 || 8 || −0 −0 || −7 −7 || −8 −8 || 0 || −8 −8

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| 1001 || 9 || −1 −1 || −6 −6 || −7 −7 || 1 || −7 −7

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| 1010 || 10 || −2 −2 || −5 −5 || −6 −6 || 2 || −10 −10

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| 1011 || 11 || −3 −3 || −4 −4 || −5 −5 || 3 || −9 −9

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| 1100 || 12 || −4 −4 || −3 −3 || −4 −4 || 4 || −4 −4

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| 1101 || 13 || −5 −5 || −2 −2 || −3 −3 || 5 || −3 −3

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| 1110 || 14 || −6 −6 || −1 −1 || −2 −2 || 6 || −6 −6

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| 1111 || 15 || −7 −7 || −0 −0 || −1 −1 || 7 || −5 −5

|}