Discrete Mathematics and Its Applications, Seventh Edition

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

Chapter 2 - Section 2.3 - Functions - Exercises - Page 152: 4

Answer

a)Domain: N; Range: {0,1,2,...,9}. b)Domain: Z+; Range: Z+−{1}. c)Domain: {all bit strings}; Range: N. d)Domain: {all bit strings}; Range: N.

Work Step by Step

(a) the function that assigns to each non negative integer its last digit Solution: Domain: N; Range: {0,1,2,...,9}. (b) the function that assigns the next largest integer to a positive integer Solution: Domain: Z+; Range: Z+−{1}. (c) the function that assigns to a bit string the number of one bits in the string Solution: Domain: {all bit strings}; Range: N. (d) the function that assigns to a bit string the number of bits in the string Solution: Domain: {all bit strings}; Range: N.
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