Rockwell Automation 1746-NI8 SLC 500 Analog Input Modules User Manual User Manual

Page 83

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Variable Content

TTL:Chap

D–2

Publication 1746Ć6.8 - April 1997

Negative Decimal Values

In two’s complement notation, the far left position is always 1 for
negative values. The equivalent decimal value of the binary number
is obtained by subtracting the value of the far left position, 32768,
from the sum of the values of the other positions. In the figure
below (all positions are 1), the value is 32767 – 32768 = –1. For
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

0

1

1

1 1

1 1

1

1

1 1 1

1

1 1

1x2

14 =

16384

1

x

2

15 =

1

This position is always 1 for negative numbers

1x

2

13 =

8192

1x

2

12 =

4096

1x

2

11 =

2048

1x

2

10 =

1024

1x

2

9 =

512

1x

2

8 =

256

1x

2

7 =

128

1x

2

6 =

64

1x

2

5 =

32

1x

2

4 =

16

1x

2

3 =

8

1x

2

2 =

4

1x

2

1 =

2

1x

2

0 =

1

16384

8192

4096

2048

1024

512

256

128

64

32
16

8
4

2

1

32767

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