   Chapter 8.1, Problem 87ES 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

Find the additive inverse and the multiplicative inverse, if it exists, of the given number.3 in modulo 8 arithmetic

To determine

To calculate: To find additive inverse and the multiplicative inverse of 3 in modulo 8 arithmetic

Explanation

Given information: 3 in modulo 8 arithmetic  is given

Calculation:

Consider 3 in modulo 8 arithmetic

In mod 8 arithmetic,  3+5=8

Hence, in modulo 8 arithmetic, the additive inverse of 3 is 5.

To find multiplicative inverse of 3, solve the equation 3x1mod8  by trying different natural

number values of  x  less than the modulus.

x=03(0)1mod8x=13(1)1mod8x=23(2)1mod8</

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