Answer
a) 13
b) 19
Work Step by Step
a) (177 mod 31+270 mod 31) mod 31=(-9 mod 31-9 mod 31) mod 31= -18 mod 31= 13
b) (177 mod 31*270 mod 31) mod 31=(-9 mod 31)(-9 mod 31) mod 31= 81 mod 31=19
Discrete Mathematics and Its Applications, Seventh Edition
by Rosen, Kenneth
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 245: 30
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