Consider a recursive function to return the Number of Binary Digits in the Binary Representation of a Positive Decimal Integer (n) using a recursive algorithm. int Process (int n) { if (n == 1) return 1; else return (Extra() + Process (n/4) + Process (n/4)); } Given that Extra(n) is a function of O(n) 1) Find T(n) = number of arithmetic operations.  2) Calculate the complexity of this algorithm using Back Substitution.

C++ Programming: From Problem Analysis to Program Design
8th Edition
ISBN:9781337102087
Author:D. S. Malik
Publisher:D. S. Malik
Chapter15: Recursion
Section: Chapter Questions
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a) Consider a recursive function to return the Number of Binary Digits in the Binary
Representation of a Positive Decimal Integer (n) using a recursive algorithm.
int Process (int n)
{ if (n == 1) return 1;
else return (Extra() + Process (n/4) + Process (n/4)); }
Given that Extra(n) is a function of O(n)
1) Find T(n) = number of arithmetic operations. 
2) Calculate the complexity of this algorithm using Back Substitution. 

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