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Home/ Questions/Q 6389593
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Editorial Team
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Editorial Team
Asked: May 25, 20262026-05-25T03:25:23+00:00 2026-05-25T03:25:23+00:00

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

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

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  1. Editorial Team
    Editorial Team
    2026-05-25T03:25:24+00:00Added an answer on May 25, 2026 at 3:25 am

    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
    
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