th The following algorithms were given in Week 6 for computing the n power of a positive integer a. Use induction to prove that each of these algorithms is correct. (a) def pow(a, n) end if n = 0 then 1 pow (a, n-1) *a (b) def pow(a, n) end if n=0 then 1 x = pow(a, floor (n/2)) if n is even: x*x if n is odd: a*x*x

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
icon
Related questions
Question
Please give me correct solution.
th
The following algorithms were given in Week 6 for computing the n power of a positive
integer a. Use induction to prove that each of these algorithms is correct.
(a)
def pow(a, n)
end
if n=0 then 1
pow (a, n-1) *a
(b)
def pow(a, n)
end
if n=0 then 1
x = pow(a, floor (n/2))
if n is even: x*x
if n is odd: a*x*x
Transcribed Image Text:th The following algorithms were given in Week 6 for computing the n power of a positive integer a. Use induction to prove that each of these algorithms is correct. (a) def pow(a, n) end if n=0 then 1 pow (a, n-1) *a (b) def pow(a, n) end if n=0 then 1 x = pow(a, floor (n/2)) if n is even: x*x if n is odd: a*x*x
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Binary numbers
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, computer-science and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Database System Concepts
Database System Concepts
Computer Science
ISBN:
9780078022159
Author:
Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:
McGraw-Hill Education
Starting Out with Python (4th Edition)
Starting Out with Python (4th Edition)
Computer Science
ISBN:
9780134444321
Author:
Tony Gaddis
Publisher:
PEARSON
Digital Fundamentals (11th Edition)
Digital Fundamentals (11th Edition)
Computer Science
ISBN:
9780132737968
Author:
Thomas L. Floyd
Publisher:
PEARSON
C How to Program (8th Edition)
C How to Program (8th Edition)
Computer Science
ISBN:
9780133976892
Author:
Paul J. Deitel, Harvey Deitel
Publisher:
PEARSON
Database Systems: Design, Implementation, & Manag…
Database Systems: Design, Implementation, & Manag…
Computer Science
ISBN:
9781337627900
Author:
Carlos Coronel, Steven Morris
Publisher:
Cengage Learning
Programmable Logic Controllers
Programmable Logic Controllers
Computer Science
ISBN:
9780073373843
Author:
Frank D. Petruzella
Publisher:
McGraw-Hill Education