Rockwell-automation 1769-IF4FXOF2F Compact Combination Fast Analog I/O Manuel d'utilisateur télécharger pdf (Page 84)

84 Publication 1769-UM019A-EN-P - October 2008

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+

13+

12+

11+

) - 2

(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

16384

8192

4096

2048

1024

512

256

128

32767

This position is always 1 for negative numbers.

1 2 ... 79 80 81 82 83 84 85 86 87 88 89 ... 93 94

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