   Chapter 8.1, Problem 95ES Mathematical Excursions (MindTap C...

4th Edition
Richard N. Aufmann + 3 others
ISBN: 9781305965584

Solutions

Chapter
Section Mathematical Excursions (MindTap C...

4th Edition
Richard N. Aufmann + 3 others
ISBN: 9781305965584
Textbook Problem

Verify that the division 5 Ă· 8 has no solution in modulo 8 arithmetic.

To determine

To calculate: To verify that division 5÷8 has no solution in modulo 8 arithmetic

Explanation

Given information: Division (5÷8)mod8 has no solution

Calculation:

Consider the following expression (5÷8)mod8

The quotient of the above expression is the solution of the congruence equation x85mod8

Now solve the equation x85mod8

Begin with 0; substitute each whole number less than 8 into the congruence equation to get

x=08(0)5mod8 not a solution x=18(1)5mod8 not a solution x=28(2)5mod8 not a solution x<

Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started

Find more solutions based on key concepts 