Instruction Manual

Numbering Systems
Appendix A
A6
Hexadecimal Numbering System
Get and put word values use the hexadecimal numbering system. This is a
numbering system made up of 16 digits: the numbers 0–9 and the letters A–F
(Table A.C). The letters A–F represent the decimal numbers 10–15,
respectively. Four binary digits represent each hexadecimal character, you can
convert between hexadecimal to a binary by writing out the patterns for each
hexadecimal character or group of four binary digits (Figure A.6).
Figure A.6
Hexadecimal
to Decimal Conversion
01A7
10243
256
160
7
0 x 16
3
= 0
1 x 16
2
= 256
10 x 16
1
= 160
7 x 16
0
= 7
423
10
= 01A7
16
Each place value in a hexadecimal character represents a power of 16 starting
with 16 raised to the zero power (16
0
=1) (Figure A.6). You can compute a
decimal number for each group of hexadecimal characters by multiplying the
decimal digit equivalent of each hexadecimal character by its corresponding
place value and adding these numbers together.