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Example: Convert 24.368 to decimal:
Solution: 24.368 equals 20.4687510
If your prefer or find it easier, you may want to convert the octal number to binary and then to
decimal.
Convert the following numbers to decimal:
Q97.
178
Q98.
648
Q99.
3758
Q100.
0.48
Q101.
0.61
8
Q102.
10.228
Hex to Decimal
It is difficult to comprehend the magnitude of a base 16 number until it is presented in base 10; for
instance, E016 is equal to 22410. You must remember that usually fewer digits are necessary to represent a
decimal value in base 16.
When you convert from base 16 to decimal, you may use the positional notation system for the
powers of 16 (a bar graph). You can also convert the base 16 number to binary and then convert to base
10.
Note in the bar graph below that each power of 16 results in a tremendous increase in the decimal
equivalent. Only one negative power (16
-1) is shown for demonstration purposes:
