Editing Signed number representations (section)

== Comparison table ==

The following table shows the positive and negative integers that can be represented using four bits.

{| class="wikitable" style="text-align: center"
|+ Four-bit integer representations
|-
! style="width: 7em" | Decimal
! style="width: 7em" | Unsigned
! style="width: 7em" | Sign–magnitude
! style="width: 7em" | Ones' complement
! style="width: 7em" | Two's complement
! style="width: 7em" | Excess-8 (biased)
! style="width: 7em" | Base −2
|-
| align=right|16&nbsp;&nbsp;&nbsp;&nbsp;
| {{n/a}}
| {{n/a}}
| {{n/a}}
| {{n/a}}
| {{n/a}}
| {{n/a}}
|-
| align=right|15&nbsp;&nbsp;&nbsp;&nbsp;
| 1111
| {{n/a}}
| {{n/a}}
| {{n/a}}
| {{n/a}}
| {{n/a}}
|-
| align=right|14&nbsp;&nbsp;&nbsp;&nbsp;
| 1110
| {{n/a}}
| {{n/a}}
| {{n/a}}
| {{n/a}}
| {{n/a}}
|-
| align=right|13&nbsp;&nbsp;&nbsp;&nbsp;
| 1101
| {{n/a}}
| {{n/a}}
| {{n/a}}
| {{n/a}}
| {{n/a}}
|-
| align=right|12&nbsp;&nbsp;&nbsp;&nbsp;
| 1100
| {{n/a}}
| {{n/a}}
| {{n/a}}
| {{n/a}}
| {{n/a}}
|-
| align=right|11&nbsp;&nbsp;&nbsp;&nbsp;
| 1011
| {{n/a}}
| {{n/a}}
| {{n/a}}
| {{n/a}}
| {{n/a}}
|-
| align=right|10&nbsp;&nbsp;&nbsp;&nbsp;
| 1010
| {{n/a}}
| {{n/a}}
| {{n/a}}
| {{n/a}}
| {{n/a}}
|-
| align=right|9&nbsp;&nbsp;&nbsp;&nbsp;
| 1001
| {{n/a}}
| {{n/a}}
| {{n/a}}
| {{n/a}}
| {{n/a}}
|-
| align=right|8&nbsp;&nbsp;&nbsp;&nbsp;
| 1000
| {{n/a}}
| {{n/a}}
| {{n/a}}
| {{n/a}}
| {{n/a}}
|-
| align=right|7&nbsp;&nbsp;&nbsp;&nbsp;
| 0111
| 0111
| 0111
| 0111
| 1111
| {{n/a}}
|-
| align=right|6&nbsp;&nbsp;&nbsp;&nbsp;
| 0110
| 0110
| 0110
| 0110
| 1110
| {{n/a}}
|-
| align=right|5&nbsp;&nbsp;&nbsp;&nbsp;
| 0101
| 0101
| 0101
| 0101
| 1101
| 0101
|-
| align=right|4&nbsp;&nbsp;&nbsp;&nbsp;
| 0100
| 0100
| 0100
| 0100
| 1100
| 0100
|-
| align=right|3&nbsp;&nbsp;&nbsp;&nbsp;
| 0011
| 0011
| 0011
| 0011
| 1011
| 0111
|-
| align=right|2&nbsp;&nbsp;&nbsp;&nbsp;
| 0010
| 0010
| 0010
| 0010
| 1010
| 0110
|-
| align=right|1&nbsp;&nbsp;&nbsp;&nbsp;
| 0001
| 0001
| 0001
| 0001
| 1001
| 0001
|-
| align=right|0&nbsp;&nbsp;&nbsp;&nbsp;
| rowspan=2 valign=center |0000
| 0000
| 0000
| rowspan=2 valign=center | 0000
| rowspan=2 valign=center | 1000
| rowspan=2 valign=center | 0000
|-
| align=right|[[Signed zero|−0]]&nbsp;&nbsp;&nbsp;&nbsp;
| 1000
| 1111
|-
| align=right|−1&nbsp;&nbsp;&nbsp;&nbsp;
| {{n/a}}
| 1001
| 1110
| 1111
| 0111
| 0011
|-
| align=right|−2&nbsp;&nbsp;&nbsp;&nbsp;
| {{n/a}}
| 1010
| 1101
| 1110
| 0110
| 0010
|-
| align=right|−3&nbsp;&nbsp;&nbsp;&nbsp;
| {{n/a}}
| 1011
| 1100
| 1101
| 0101
| 1101
|-
| align=right|−4&nbsp;&nbsp;&nbsp;&nbsp;
| {{n/a}}
| 1100
| 1011
| 1100
| 0100
| 1100
|-
| align=right|−5&nbsp;&nbsp;&nbsp;&nbsp;
| {{n/a}}
| 1101
| 1010
| 1011
| 0011
| 1111
|-
| align=right|−6&nbsp;&nbsp;&nbsp;&nbsp;
| {{n/a}}
| 1110
| 1001
| 1010
| 0010
| 1110
|-
| align=right|−7&nbsp;&nbsp;&nbsp;&nbsp;
| {{n/a}}
| 1111
| 1000
| 1001
| 0001
| 1001
|-
| align=right|−8&nbsp;&nbsp;&nbsp;&nbsp;
| {{n/a}}
| {{n/a}}
| {{n/a}}
| 1000
| 0000
| 1000
|-
| align=right|−9&nbsp;&nbsp;&nbsp;&nbsp;
| {{n/a}}
| {{n/a}}
| {{n/a}}
| {{n/a}}
| {{n/a}}
| 1011
|-
| align=right|−10&nbsp;&nbsp;&nbsp;&nbsp;
| {{n/a}}
| {{n/a}}
| {{n/a}}
| {{n/a}}
| {{n/a}}
| 1010
|-
| align=right|−11&nbsp;&nbsp;&nbsp;&nbsp;
| {{n/a}}
| {{n/a}}
| {{n/a}}
| {{n/a}}
| {{n/a}}
| {{n/a}}
|}

Same table, as viewed from "given these binary bits, what is the number as interpreted by the representation system":

{| class="wikitable" style="text-align: center"
|-
! Binary !! Unsigned !! Sign–magnitude !! Ones' complement !! Two's complement !! Excess-8 !! Base −2
|-
| 0000 || 0 || 0 || 0 || 0 || −8 || 0
|-
| 0001 || 1 || 1 || 1 || 1 || −7 || 1
|-
| 0010 || 2 || 2 || 2 || 2 || −6 || −2
|-
| 0011 || 3 || 3 || 3 || 3 || −5 || −1
|-
| 0100 || 4 || 4 || 4 || 4 || −4 || 4
|-
| 0101 || 5 || 5 || 5 || 5 || −3 || 5
|-
| 0110 || 6 || 6 || 6 || 6 || −2 || 2
|-
| 0111 || 7 || 7 || 7 || 7 || −1 || 3
|-
| 1000 || 8 || [[Signed zero|−0]] || −7 || −8 || 0 || −8
|-
| 1001 || 9 || −1 || −6 || −7 || 1 || −7
|-
| 1010 || 10 || −2 || −5 || −6 || 2 || −10
|-
| 1011 || 11 || −3 || −4 || −5 || 3 || −9
|-
| 1100 || 12 || −4 || −3 || −4 || 4 || −4
|-
| 1101 || 13 || −5 || −2 || −3 || 5 || −3
|-
| 1110 || 14 || −6 || −1 || −2 || 6 || −6
|-
| 1111 || 15 || −7 || [[Signed zero|−0]] || −1 || 7 || −5
|}