Let S4be the set of all strings of 0’s and 1’s of length 4. Define F: S4 → Z nonneg such that F(s) = Number of zeros in s, for any s ∈ S4 a) Find F(1001) a) What is the range of F? b) Explain why F is not onto.

Let S4be the set of all strings of 0’s and 1’s of length 4. Define F: S4 → Z nonneg such that F(s) = Number of zeros in s, for any s ∈ S4 a) Find F(1001) a) What is the range of F? b) Explain why F is not onto.

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

Let S4be the set of all strings of 0’s and 1’s of length 4.
Define F: S4 → Z

nonneg such that F(s) = Number of zeros in s, for any s ∈ S4

a) Find F(1001)
a) What is the range of F?
b) Explain why F is not onto.

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