Saturday, January 7, 2012

Compute if a number is a multiple of 5

You can use just bit operations
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  1. Here the first five multiple of 5:

    00101
    01010
    01111
    10100
    11001
    ...

    So, It seems that the pattern is: C = A XOR B i.e. the number in position C is the result of the XOR between the previous two numbers (of course the first two numbers of the sequence - 5 and 10 - are given).

    So, an algo could be to generate the sequence of all the possible binary numbers using the previous pattern until we reach the input number (so it is a multiplo of 5). As soon as we generate a bigger number we stops saying that the number is not a multiple of 5.

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