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Hex to Binary
To convert a hex number to binary, set up the number in the block format you used in earlier
conversions. Below each hex digit, write the four-digit binary equivalent. Observe the following example:
Convert ABC16 to binary:
Solution: ABC16 = 1010101111002
Hex to Octal
Just like the conversion of octal to hex, conversion of hex to octal is a two-step procedure. First,
convert the hex number to binary; and second, convert the binary number to octal. Let’s use the same
example we used above in the hex to binary conversion and convert it to octal:
Convert these base 16 numbers to their equivalent base 2 and base 8 numbers:
Q87.
2316
Q88.
1B16
Q89.
0.E416
Q90.
45.A16
CONVERSION TO DECIMAL
Computer data will have little meaning to you if you are not familiar with the various number
systems. It is often necessary to convert those binary, octal, or hex numbers to decimal numbers. The
need for understanding is better illustrated by showing you a paycheck printed in binary. A check in the
amount of ,010,101.002 looks impressive but in reality only amounts to 9.0010
