Let B = {0, 1}. B" is the set of binary strings with n bits. Define the set E, to be the set of binary strings with n bits that have an even number of 1's. Note that zero is an even number, so a string with zero 1's (i.e., a string that is all O's) has an even number of 1's. (a) Show a bijection between B° and E10. Explain why your function is a bijection. (b) What is IE101?

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
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Exercise 6.2.3: Using the bijection rule to count binary strings with even parity.
i About
i
Let B = {0, 1}. B^ is the set of binary strings with n bits. Define the set En to be the set of binary strings with n bits that have an even
number of 1's. Note that zero is an even number, so a string with zero 1's (i.e., a string that is all O's) has an even number of 1's.
(a)
Show a bijection between B and E10. Explain why your function is a bijection.
(b)
What is |E10l?
Feedback?
Transcribed Image Text:Exercise 6.2.3: Using the bijection rule to count binary strings with even parity. i About i Let B = {0, 1}. B^ is the set of binary strings with n bits. Define the set En to be the set of binary strings with n bits that have an even number of 1's. Note that zero is an even number, so a string with zero 1's (i.e., a string that is all O's) has an even number of 1's. (a) Show a bijection between B and E10. Explain why your function is a bijection. (b) What is |E10l? Feedback?
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