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: 20

Answer

a) 1 b) 4 c) 3 d) 9

Work Step by Step

a) -17 mod 2 -8*2-1=1 b) 144 mod 7 144=7*20+4=4 c) -101 mod 13 -101=(-8)(13)+3=3 d) 199 mod 19 199=19*10+9=9
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