Digital Logic

1:

Let an , an-1 ,............ a1, a0 be the binary representation of an integer b. Then b is divisible by 3 if

A.

number of 1's  is divisible by 3

B.

number of 0's  is divisible by 3

C.

(c) number  of 1's of is divisible by 6

D.

(a) difference of alternate sum, i.e. a0 + a2 +.........- (a1 + a2 + ...) is divisible by 3

 

Answer : D

Explanation :

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Option: A

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