The following algorithm computes the digits of the binary representation of a positive integer n. String...
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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? 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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a Execution of the algorithm for n27 ConvertToBinary27 ConvertToBinary27 DIV 2 followed by 27 MOD 2 ... View the full answer
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