Rockwell-automation 1769-OF4 Compact Analog Output Module Manual de usuario descargar pdf (Pagina 66)

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+

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 ... 61 62 63 64 65 66 67 68 69 70 71 ... 75 76

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