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Assume that an n-bit integer (represented by standard binary notation) takes any value in the range...

  1. Assume that an n-bit integer (represented by standard binary notation) takes

    any value in the range 0 to 2^n − 1 with equal probability.

    1. (a) For each bit position, what is the probability of its value being 1 and what is the probability of its value being 0?

    2. (b) What is the average number of “1” bits for an n-bit random number?

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