Instruction Manual

Numbering Systems
Appendix A
A4
Figure A.4
Binary
Coded Decimal
00100 0111001
239
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
0001 1
0010 2
0011 3
0100 4
0101 5
0110 6
0111 7
1000 8
1001 9