Question: The following algorithm computes the digits of the binary representation of a positive integer n. String of bits ConvertToBinary(int n) 1: if n ==

The following algorithm computes the digits of the binary representation of a

The following algorithm computes the digits of the binary representation of a positive integer n. String of bits ConvertToBinary(int n) 1: if n == 1 then 2: return n 3: else 4: return ((ConvertToBinary(n DIV 2)) followed by (n MOD 2)) 5: end if (a) Illustrate the execution of this algorithm to give the binary representation of 27. (b) Illustrate the execution of this algorithm to give the binary representation of 32. (c) What is the growth rate of the running time of this algorithm? (d) How could you modify the algorithm to yield hexadecimal representations?

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