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 154: 53

Answer

see the step by step answer

Work Step by Step

If n is even, then n = 2k for some integer k as even numbers are multiples of 2. Thus ⌊ n/2 ⌋ = ⌊ k ⌋ = k = n/2. If n is odd, then n = 2 k + 1 for some integer k. Thus Ln/2⌋ = ⌊k + 1/2⌋ = k = (n -1)/2.
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