- #1
catsarebad
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Homework Statement
Imagine any recurring decimal in base 10, call it X.
examples:
.1111111111...
.2222222222...
.23232323...
my question is - can you convert it to binary without rewriting X in fractional form. I know how to do it in fractional form. I know how to convert it to fractional form as well.
However, I'm curious if one can proceed to solve this problem without converting to fractional form like a/b where a and b are integers.
Homework Equations
- divide/mult by 2 to convert integer/decimal part to binary
The Attempt at a Solution
The reason I ask this is because I know (and can) convert recurring decimals from binary to decimal. However, I'm not aware of any trick that does the other way around (w/o making use of fractions) and if there is one I would like to know how its done.
Thanks.