(a) Devise a recursive algorithm to nd a2n, where the inputs to the algorithm consist ofa which is a real number and n which is a positive integer. Hint: Use the equalitya2n+1= (a2n)2.(b) Assume that you are not allowed to use any function for computing the powers. Devisean iterative algorithm for solving the same problem.(c) Analyze the running times of the two approaches. (a) Devise a recursive algorithm to find a²", where the inputs to the algorithm consist ofa which is a real number and n which is a positive integer. Hint: Use the equality= (a" )².2n(b) Assume that you are not allowed to use any function for computing the powers. Devisean iterative algorithm for solving the same problem.(c) Analyze the running times of the two approaches.

A iterative algorithm will use loop statements, such as a loop, while a loop or loop action while…

Answered: a) Devise a recursive algorithm to nd…

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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(a) Devise a recursive algorithm to nd a2n
, where the inputs to the algorithm consist of
a which is a real number and n which is a positive integer. Hint: Use the equality
a2n+1
= (a2n
)2.
(b) Assume that you are not allowed to use any function for computing the powers. Devise
an iterative algorithm for solving the same problem.
(c) Analyze the running times of the two approaches.

(a) Devise a recursive algorithm to find a²", where the inputs to the algorithm consist of
a which is a real number and n which is a positive integer. Hint: Use the equality
= (a" )².
2n
(b) Assume that you are not allowed to use any function for computing the powers. Devise
an iterative algorithm for solving the same problem.
(c) Analyze the running times of the two approaches.

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