Discrete Mathematics and Its Applications, Seventh Edition

Published by McGraw-Hill Education
ISBN 10: 0073383090
ISBN 13: 978-0-07338-309-5

Chapter 4 - Section 4.1 - Divisibility and Modular Arithmetic - Exercises - Page 244: 10

Answer

Here, I list the answers in the format of quotient, remainder. a) 5, 4 b) 37, 0 c) -11, 14 d) -1, 22 e) -23, 1 f) 0, 0 g) 123, 334 h) -1, 1

Work Step by Step

What are the quotient and remainder when: a) 44 is divided by 8 44=8(5)+4 b) 777 is divided by 21 777=21(37)+0 c) -123 is divided by 19 -123=19(-11)+14 d) -1 is divided by 23 -1=23(-1)+22 e) -2002 is divided by 87 -2002=87(-23)+1 f) 0 is divided by 17 0=17(0)+0 g) 1234567 is divided by 1001 1234567=1001(123)+334 h) -100 is divided by 101 -100=101(-1)+1
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