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Discussion :: Digital Electronics

  1. The number of digit 1 present in the binary representation of 3 x 512 + 7 x 64 + 5 x 8 + 3 is

    2. A.
    8
    B.
    9
    C.
    10
    D.
    12

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    Answer : Option B

    Explanation :

    3 x 512 + 7 x 64 + 5 x 8 + 3

    = (2 + 1) x 29 + (4 + 2 + 1)26 + (4 + 1)23 + (2 + 1)

    = 210 + 29 + 28 + 27 + 26 + 25 + 23 + 21 + 1

    = 210 + 29 + 28 + 27 + 26 + 25 + 23 + 21 + 20

    9 term of power two

    Hence number of '1' is 9.

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