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Find each of these values.a) (177 mod 31 + 270 mod 31) mod

Discrete Mathematics and Its Applications | 7th Edition | ISBN: 9780073383095 | Authors: Kenneth Rosen

Problem 30E Chapter 4.1

Discrete Mathematics and Its Applications | 7th Edition

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Discrete Mathematics and Its Applications | 7th Edition | ISBN: 9780073383095 | Authors: Kenneth Rosen

Discrete Mathematics and Its Applications | 7th Edition

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Problem 30E

Find each of these values.

a) (177 mod 31 + 270 mod 31) mod 31

b) (177 mod 31 · 270 mod 31) mod 31

Step-by-Step Solution:

Step 1</p>

Here, in this problem we have to find values of addition of two modulus.

To calculate the values, either we can calculate individually and add or we can use formula which states that, if a and b be integers and m be a positive integer.

then,

.

and

Step2

a) (177 mod 31 + 270 mod 31) mod 31

Here, we have  a = 177, b = 270 and m = 31

Using formula,

We have, 

=447 mod 31

We can write

Therefore, 447 mod 31 = 13

Therefore value of  (177 mod 31 + 270 mod 31) mod 31 is 13.

Step 3 of 3

Chapter 4.1, Problem 30E is Solved
Textbook: Discrete Mathematics and Its Applications
Edition: 7th
Author: Kenneth Rosen
ISBN: 9780073383095

Discrete Mathematics and Its Applications was written by and is associated to the ISBN: 9780073383095. The full step-by-step solution to problem: 30E from chapter: 4.1 was answered by , our top Math solution expert on 06/21/17, 07:45AM. This textbook survival guide was created for the textbook: Discrete Mathematics and Its Applications, edition: 7th. Since the solution to 30E from 4.1 chapter was answered, more than 802 students have viewed the full step-by-step answer. This full solution covers the following key subjects: mod, these, Find, values. This expansive textbook survival guide covers 101 chapters, and 4221 solutions. The answer to “Find each of these values.a) (177 mod 31 + 270 mod 31) mod 31________________b) (177 mod 31 · 270 mod 31) mod 31” is broken down into a number of easy to follow steps, and 23 words.

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