Answered: Briefly explain bitwise multiplication

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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Briefly explain bitwise multiplication

Expert Solution

Step 1

Bitwise multiplication can be done in 2 methods

1. left shift operator: In this the number is represented in binary and the multiplication is done by powers of 2 obtained using left shift operator

2. using Russian Peasant Algorithm: The idea is to double greater number and halve the lesser number until the lesser number becomes odd. Then add it to the first.

The program is written in python

Step 2

def russianPeasant(a, b):

res = 0

while (b > 0):
if (b & 1):
res = res + a
a = a << 1
b = b >> 1

return res

print(russianPeasant(18, 8))

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