More Advanced
Conversions
You may be required, at one time or another, to convert a
hexadecimal
quantity into either its
binary
or
decimal
equivalent. Both Tables A-2
and A-3 provided the fundamental basis for these conversions, but
they did so with relatively small numbers. More advanced conversions
will require you to work with more digits; however, the fundamental
idea remains the same.
Hexadecimal to Binary
Converting a hexadecimal number to its binary equivalent is the easiest
of these conversions. As indicated in the four previous tables, it can be
done on a "nibble-by-nibble" basis. Follow these steps:
1.
Copy onto a piece of scrap paper the hexadecimal number to be
converted.
2.
On a "nibble-by-nibble" basis, use the information found in the
tables to supply the binary equivalent; thus:
10h = 0001 0000
2
0C 1Eh = 0000 1100 0001 1110
2
AB 0C D6
16
= 1010 1011 0000 1100 1101 0110
2
Hexadecimal to Decimal
Converting a hexadecimal number to its decimal equivalent is a bit
more involved, but not at all difficult. It requires a two-step process:
1.
Converting the hexadecimal number into its
binary
equivalent.
2.
Converting this binary equivalent to
decimal.
In the Long Range Radio system, the largest hexadecimal value
needing conversion to decimal will never be longer than two
"nibbles." To perform the conversion, follow these steps:
NOTE: Hexadecimal numbers of one "nibble" in length can be
converted directly through the use of Table A-2 or A-3.
a.
Convert the
hexadecimal
number to
binary:
• Copy onto a piece of scrap paper the hexadecimal number to
be converted.
• As above, on a "nibble-by-nibble" basis, use the information
found in the tables to supply the binary equivalent. For
example:
18h = 0001 1000
2
CDh = 1100 1101
2
E9h = 1110 1001
2
2Fh = 0010 1111
2
b.
Convert the
binary
value to
decimal:
• Use the examples found in Tables A-6 through A-9 and the
instructions that follow.
Page A-5 Appendix A: Understanding Binary
CP-220A Central Station Receiver
and Hexadecimal Numbering Systems Hook-Up and Installation Manual