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Signed-magnitude binary, Two’s complement binary, Signed-magnitude binary two’s complement binary – Rockwell Automation 1771-IL/B , D17716.5.91 ISOLATED ANALOG INPUT Module User Manual

Page 56

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Data Formats

Appendix C

C-2

Table C.A
BCD Representation

Place Value
2

3

(8) 2

2

(4)

2

1

(2)

2

0

(1)

Decimal

Equivalent

0

0

0

0

0

0

0

0

1

1

0

0

1

0

2

0

0

1

1

3

0

1

0

0

4

0

1

0

1

5

0

1

1

0

6

0

1

1

1

7

1

0

0

0

8

1

0

0

1

9

Signed-magnitude binary is a means of communicating numbers to your
processsor. It should be used with the PLC-2 family when performing
computations in the processor. It cannot be used to manipulate binary 12-bit
values or negative values.

Example: The following binary number is equal to decimal 22.

10110

2

= 22

10

The signed-magnitude method places an extra bit (sign bit) in the left-most
position and lets this bit determine whether the number is positive or negative.
The number is positive if the sign bit is 0 and negative if the sign bit is 1. Using
the signed magnitude method:

0 10110 = +22
1 10110 = -22

Two’s complement binary is used with PLC-3 processors when performing
mathematical calculations internal to the processor. To complement a number
means to change it to a negative number. For example, the following binary
number is equal to decimal 22.

10110

2

= 22

10

Signed-magnitude Binary

Two’s Complement Binary