Divisible by 10

Given a stream of binary digits how can you tell if the number formed is divisible by 10.

Comments

  1. it is divisible by 10 if it ends with 1010

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  2. @gaurav i don't think it will work,check for 20,it is 10100.so it does not ends with 1010.

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  3. can u please tell the answer.i am having no clue except calculating the decimal equivalent..

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  4. @kams Here's the clue :Look at powers of 2 modulo 5:

    2^0 = 1 = 1 mod 5
    2^1 = 2 = 2 mod 5
    2^2 = 4 = -1 mod 5
    2^3 = 8 = -2 mod 5
    2^4 = 16 = 1 mod 5
    now it repeats ...

    (Two numbers are equal, or more properly "congruent," modulo 5, if
    they give the same remainder when they are divided by 5..now try it..:)

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