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0. Let an , an-1 ,............ a1, a0 be the binary representation of an integer b. Then b is divisible by 3 if
number of 1's is divisible by 3
number of 0's is divisible by 3
number of 1's of is divisible by 6
difference of alternate sum, i.e. a0 + a2 +.........- (a1 + a2 + ...) is divisible by 3
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