Rockwell Automation 1772-LS_LSP,D17726.8.6 PROG/OPER MANUAL-MINI PLC-2/05 User Manual
Page 234
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Numbering Systems
Appendix A
AĆ4
Figure A.4
Binary Coded Decimal
0 0 1 0 0 0 1 1 1 0 0 1
2
3
9
10241
0 x 2
3
= 0
0 x 2
2
= 0
1 x 2
1
= 2
0 x 2
0
= 0
0 x 2
3
= 0
0 x 2
2
= 0
1 x 2
1
= 2
1 x 2
0
= 1
1 x 2
3
= 8
0 x 2
2
= 0
0 x 2
1
= 0
1 x 2
0
= 1
2
3
9
10
You can compute the decimal value of a binary number by multiplying each
binary digit by its corresponding place value and adding these numbers together
(Table A.B).
Table A.B
BCD Representation
Place Value
Decimal
Equivalent
2
3
(8)
2
2
(4)
2
1
(2)
2
0
(1)
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
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