Answered: Consider the Peasants' Algorithm for…

Computer Networking: A Top-Down Approach (7th Edition)

7th Edition

ISBN:9780133594140

Author:James Kurose, Keith Ross

Publisher:James Kurose, Keith Ross

Chapter1: Computer Networks And The Internet

Section: Chapter Questions

Problem R1RQ: What is the difference between a host and an end system? List several different types of end...

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Question

Consider the Peasants' Algorithm for multiplication of two positive integers. It works in the following
manner:
● Write the two numbers in two columns. Keep updating according to the following procedure until the
number in the first (i.e., left) column becomes 1.
● Halve the number in the first column (integer division), double the number in the second column.
● In the end, sum up all the numbers in the second column, for which, the corresponding number in the
first column is odd.
Example of multiplication using Peasants’ algorithm: 13 x 8:
13 8 ←
6 16
3 32 ←
1 64 ←
Answer: 64 + 32 + 8 = 104
Write a function to calculate multiplication using the Peasants’ algorithm. Can you try the recursive
function for the same?

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