Worksheet on Alternative Bases
Dr. Holmes
February 16, 2005
Show details of your calculations (even if you use a calculator, set up your
calculations on paper).
1. Convert the base ten number 3491 to base 7; to base 8 (octal); to base
12 (use TE for the new digits if needed); to base 16 (use ABCDEF for
the new digits if needed). Convert it to base 60, using decimal numbers
from 0 to 59 as “digits”.
2. Convert the base 2 number 10111001 to decimal. Convert it to octal
and hexadecimal without converting to decimal first (show me how you
do it). Convert the base 7 number 23462 to decimal.
3. Convert the decimal numbers 52 and 31 to base 7. Add the numbers
in base 7 (showing all work), then convert back to base 10 and check
that you have the right answer. Multiply the numbers in base 7, then
convert back to base 10 and check that you have the right answer.
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