66 Publication 1769-UM020A-EN-P - December 2009
Appendix D Two’s Complement Binary Numbers
Negative Decimal Values
In two’s complement notation, the leftmost position is always 1 for
negative values. The equivalent decimal value of the binary number is
obtained by subtracting the value of the leftmost position, 32,768,
from the sum of the values of the other positions. All positions are 1
and the value is 32,767 - 32,768 = -1.
Negative Decimal Values
EXAMPLE
1111 1000 0010 0011 = (2
14+
2
13+
2
12+
2
11+
2
5+
2
1+
2
0
) - 2
15
=
(16384+8192+4096+2048+32+2+1) - 32768 =
30755 - 32768 = -2013
1 x 2 = 2
1 x 2 = 1
1 x 2 = 16384
1 x 2 = 8192
1 x 2 = 4096
1 x 2 = 2048
1 x 2 = 1024
1 x 2 = 128
1 x 2 = 512
1 x 2 = 256
1 x 2 = 64
1 x 2 = 32
1 x 2 = 16
1 x 2 = 8
1 x 2 = 4
1 x 2 = 32768
1111111111111111
14
13
12
11
10
9
8
7
6
5
4
3
2
1
15
0
16384
8192
4096
2048
1024
512
256
128
64
32
16
8
4
2
1
32767
This position is always 1 for negative numbers.
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