Question: Q4) [5 points] Consider the following two algorithms: ALGORITHM 1 Bin Rec(n) //Input: A positive decimal integer n llOutput: The number of binary digits in

Q4) [5 points] Consider the following two algorithms: ALGORITHM 1 Bin

Q4) [5 points] Consider the following two algorithms: ALGORITHM 1 Bin Rec(n) //Input: A positive decimal integer n llOutput: The number of binary digits in "'s binary representation if n1 return 1 else return BinRec(ln/2)) +1 ALGORITHM 2 Binary(n) tive decimal integer nt io 's binary representation //Output: The number of binary digits in i's binary representation count 1 while n >1 do count count + 1 return count a. Analyze the two algorithms and find the efficiency for each of them. Hint: You may use the recurrence relation instead of the summation to analyze the nonrecursive algorithm. b. Which algorithm is more efficient? and why

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