Question: Algorithms (a) Suppose you compute 2n using the following recursive function: FUNCTION Power0fTwo (n) BEGIN IF n 0 THEN RETURN 1; ELSE RETURN PowerOfTwo (n-1)

Algorithms (a) Suppose you compute 2n using the following recursive function: FUNCTION Power0fTwo (n) BEGIN IF n 0 THEN RETURN 1; ELSE RETURN PowerOfTwo (n-1) PowerOfTwo (n-1); END Analyze the number of additions needed to compute 2". (b) Show how to compute 2" in O(n) additions. (c) Using (b), analyze the number of additions to compute the sum 2i

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