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Topic: Function Composition where operator o stands for function composition. . f: (0, 130, 1³. The output of f is obtained by taking the input string and replacing the first bit by 1, regardless of whether the first bit is a 0 or 1. For example, f(001) = 101 and f(110) = 110. g: (0, 110, 1). The output of g is obtained by taking the input string and reversing the bits. For example, g(011) - 110. ● h: (0, 1³-10, 1)³. The output of h is obtained by taking the input string x, and replacing the last bit with a copy of the first bit. For example, h(011) = 010. What is (g o f)(010)? O 011 O 101 O 110 O 010

Topic: Function Composition where operator o stands for function composition. . f: (0, 130, 1³. The output of f is obtained by taking the input string and replacing the first bit by 1, regardless of whether the first bit is a 0 or 1. For example, f(001) = 101 and f(110) = 110. g: (0, 110, 1). The output of g is obtained by taking the input string and reversing the bits. For example, g(011) - 110. ● h: (0, 1³-10, 1)³. The output of h is obtained by taking the input string x, and replacing the last bit with a copy of the first bit. For example, h(011) = 010. What is (g o f)(010)? O 011 O 101 O 110 O 010

Database System Concepts
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
Section: Chapter Questions
Problem 1PE
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Question 1 Topic: Function Composition where operator o stands for function composition. . f: (0, 1³0, 1). The output of f is obtained by taking the input string and replacing the first bit by 1, regardless of whether the first bit is a 0 or 1. For example, f(001) - 101 and f(110) = 110. • g: (0, 110, 1). The output of g is obtained by taking the input string and reversing the bits. For example, g(011) - 110. • h: (0, 1) (0, 1)³. The output of h is obtained by taking the input string x, and replacing the last bit with a copy of the first bit. For example, h(011) = 010. What is (g o f)(010)? O 011 O 101 O 110 O 010
Transcribed Image Text:Question 1 Topic: Function Composition where operator o stands for function composition. . f: (0, 1³0, 1). The output of f is obtained by taking the input string and replacing the first bit by 1, regardless of whether the first bit is a 0 or 1. For example, f(001) - 101 and f(110) = 110. • g: (0, 110, 1). The output of g is obtained by taking the input string and reversing the bits. For example, g(011) - 110. • h: (0, 1) (0, 1)³. The output of h is obtained by taking the input string x, and replacing the last bit with a copy of the first bit. For example, h(011) = 010. What is (g o f)(010)? O 011 O 101 O 110 O 010
O 101 O 110 - 010 Question 2 Let d, f, and g be defined as follows. ● → d: (0, 1) (0, 1). d(x) is obtained from x by removing the second bit and placing it at the end. For example, d(1011) = 1110. f: (0, 1) (0, 1)^. f(x) is obtained from x by replacing the last bit with 1. For example, f(1000) = . 1001. • g: {0, 1)ª → {0, 13³. g(x) is obtained from x by removing the first bit. For example, g(1000) = 000. Is g of well defined: Answer true or false O True O False
Transcribed Image Text:O 101 O 110 - 010 Question 2 Let d, f, and g be defined as follows. ● → d: (0, 1) (0, 1). d(x) is obtained from x by removing the second bit and placing it at the end. For example, d(1011) = 1110. f: (0, 1) (0, 1)^. f(x) is obtained from x by replacing the last bit with 1. For example, f(1000) = . 1001. • g: {0, 1)ª → {0, 13³. g(x) is obtained from x by removing the first bit. For example, g(1000) = 000. Is g of well defined: Answer true or false O True O False
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