Octal numbering system – Rockwell Automation 1772-L8_LW_LWP_LX_LXP,D17726.5.8 User Manual User Manual

Page 415

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Number Systems

Appendix C

C-2

Figure C.1

Decimal Numbering System

2 3

9

2 x 10

1

= 200

10

3 x 10

1

= 30

10

9 x 10

0

= 9

10

200

30

9

239

10

10

10404-I

Byte word values use the octal numbering system. This is a numbering
system made up eight digits: the numbers 0 through 7 (Table C.A). All
octal numbers are composed of theses digits. The value of an octal number
depends on the digits used and the place value of each digit.

Each place value in an octal number represents a power of eight starting
with eight raised to the zero power (8

0

=1) (Figure C.2). You can compute

the decimal value of an octal number by multiplying each octal digit by its
corresponding place value and adding these numbers together.

Figure C.2

Octal Numbering System

3 5

7

3 x 8

2

= 192

5 x 8

1

= 40

7 x 7

0

= 7

192

40

7

239

10

8

10404-I

239

10

= 357

8

Octal Numbering System

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