Rockwell Automation 1772-LS_LSP,D17726.8.6 PROG/OPER MANUAL-MINI PLC-2/05 - Manual (Page 232)

Numbering Systems
Appendix A
AĆ2
Each place value in a decimal number represents a power of ten starting with
ten raised to the zero power (10
0 =1) (Figure A.1). You can compute the
decimal value of a number by multiplying each digit by its corresponding place
value and adding these numbers together.
Figure A.1
Decimal Numbering System
2 3 9
10238
200
30
9
2 x 10 2 = 200
10
3 x 10 1 = 30
10
9 x 10 0 = 9
10 239
10
10
Octal Numbering System
Byte word values use the octal numbering system. This is a numbering system
made up eight digits: the numbers 0 through 7 (Table A.A). All octal numbers
are composed of these digits. The value of a 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 A.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 A.2
Octal Numbering System
3 5 7
10239
192
40
7
3 x 8 2 = 192
5 x 8 1 = 40
7 x 8 0 = 7 239
10
8
239
10
= 357
8
Binary numbering is used in all digital systems to store and manipulate data.
This is a numbering system made up of two numbers: 0 and 1 (Table A.A). All
binary numbers are composed of these digits. Information in memory is stored
as an arrangement of 1 and 0. The value of a binary number depends on the
digits used and the place value of each digit.
Binary Numbering System