Write out the addition and multiplication tables for Z6

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

Problem 46E 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 46E

Write out the addition and multiplication tables for Z6 (where by addition and multiplication we mean +6 and .6).

Step-by-Step Solution:

Step 1</p>

In this problem we have to write the addition and multiplication table for .where, by addition means  and by multiplication means .

Arithmetic  operations can be defined on as, the set of non-negative integers less than m,

that is, the set {0, 1,...,m − 1}.

In mathematical form, we define addition of these integers, denoted by  by

 b = (a + b) mod m,

where the addition on the right-hand side of this equation is the ordinary addition of integers.

and

we define multiplication of these integers, denoted by  by

a  b = (a · b) mod m,

where the multiplication on the right-hand side of this equation is the ordinary multiplication of

integers. The operations  and  are called addition and multiplication modulo m.

Step 2 </p>

The addition table for is

0

1

2

3

4

5

0

0

1

2

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4

5

1

1

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4

5

0

2

2

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5

0

1

3

3

4

5

0

1

2

4

4

5

0

1

2

3

5

5

0

1

2

3

4

Step 3 of 3

Chapter 4.1, Problem 46E is Solved
Textbook: Discrete Mathematics and Its Applications
Edition: 7th
Author: Kenneth Rosen
ISBN: 9780073383095

The full step-by-step solution to problem: 46E from chapter: 4.1 was answered by , our top Math solution expert on 06/21/17, 07:45AM. Discrete Mathematics and Its Applications was written by and is associated to the ISBN: 9780073383095. This full solution covers the following key subjects: addition, multiplication, tables, mean, Where. This expansive textbook survival guide covers 101 chapters, and 4221 solutions. The answer to “Write out the addition and multiplication tables for Z6 (where by addition and multiplication we mean +6 and .6).” is broken down into a number of easy to follow steps, and 19 words. This textbook survival guide was created for the textbook: Discrete Mathematics and Its Applications, edition: 7th. Since the solution to 46E from 4.1 chapter was answered, more than 1350 students have viewed the full step-by-step answer.

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