CODEWITHSUNDEEP
mathbinarydecimalfractions
chuck finley
chuck finley

Reputation: 459

How to convert binary number to fraction?

How do I convert a binary to fraction such as for example .10101010001? I am trying to convert a binary fraction to decimal fraction.

Upvotes: 0

Views: 2889

Answers (1)

KLee1
KLee1

Reputation: 6178

It would be the same way that you would do it for a decimal number.

0.48 in decimal is the same as:

4 * 10^-1 + 8 * 10^-2

So for binary, if you had something like 0.101 it would be:

1 * 2^-1 + 0 * 2^-2 + 1 * 2^-3

and so on...

EDIT (as per request):

If you would want to obtain a fraction of the number, you could do the following:

Let n be the number of digits (e.g. 0.1011 => n=4)

Convert the number as if it did not have a binary point let this be m (0.1011 => m=11).

Your result is 

m / 2^n

Upvotes: 3

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