   Chapter 8.4, Problem 31ES ### Discrete Mathematics With Applicat...

5th Edition
EPP + 1 other
ISBN: 9781337694193

#### Solutions

Chapter
Section ### Discrete Mathematics With Applicat...

5th Edition
EPP + 1 other
ISBN: 9781337694193
Textbook Problem
1 views

# Find an inverse for 210 modulo 13. Find appositive inverse for 210 modulo 13. Find a positive solution for the congruence 210 x = 8 (mod 13).

To determine

(a)

To find:

The inverse for 210 modulo 13.

Explanation

Given information:

210 modulo 13

Calculation:

Step 1. 210=1316+2 and so 2=2101316.

Step. 2. 13=26+1 and so 1=1326.

Step 3. 6=16+0

Thus, GCD(210,13)=1

Substituting back through step 21

1=1326=13(2101316)

To determine

(b)

To find:

A positive inverse for 210 modulo 13.

To determine

(c)

To find:

A positive solution for the congruence 210x=8(mod13).

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