   Chapter 7.1, Problem 26ES ### 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
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# Observe that mod and div can be defined as functions from Z n o n n e g ×   Z + to Z.. For each ordered pair (n,d) consisting of a nonegative integer n and a positive integer d, let mod(n,d) = n mod d (the nonegative remainder obtained when n is divided by d). div(n,d) = n div d ( the integer quotient obtained when n is divided by d) Find each of the following: Mod (67,10) and div (67,10) Mod (59,8) and div (59,8) Mod (30,5) and div (30,5)

To determine

(a)

mod(67,10) and div(67,10)

Explanation

Given information:

mod(67,10)div(67,10)

Concept used:

We define the functions from Z+{0}XZ+Z.

mod(n,d)=nmodd And

div(n,d)=ndivd(n,d<

To determine

(b)

Find mod(59,8) and div(59,8)

To determine

(c)

Find mod(30,5) and div(30,5)

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