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Which of the following equations correctly reflects the truth table shown below? y F 1 1 1 1 1 1 Ox'y'z' + xvyz + xy'z' + xyz' O (xyz + x'yz' + xy'z + xyz)' O (xyz' + x'yz + xy'z' + xyz')' Ox'y'z + x'yz' + xy'z + xyz

Which of the following equations correctly reflects the truth table shown below? y F 1 1 1 1 1 1 Ox'y'z' + xvyz + xy'z' + xyz' O (xyz + x'yz' + xy'z + xyz)' O (xyz' + x'yz + xy'z' + xyz')' Ox'y'z + x'yz' + xy'z + xyz

Computer Networking: A Top-Down Approach (7th Edition)
Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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**Truth Table and Boolean Expression Analysis** The image presents a truth table and a set of Boolean expressions, asking which expression correctly represents the truth table. ### Truth Table - **Columns**: x, y, z, F - **Rows**: 1. 000 | 0 2. 001 | 1 3. 010 | 1 4. 011 | 0 5. 100 | 0 6. 101 | 1 7. 110 | 0 8. 111 | 1 ### Boolean Expressions 1. \( x'y'z + xy'z' + xy'z + xyz' \) 2. \( (x'y'z + x'yz' + xyz + xyz')' \) 3. \( (x'y'z' + x'yz + xy'z' + xyz')' \) 4. \( x'y'z + x'yz' + xy'z + xyz \) Each expression uses standard Boolean operators and notation: - **x', y', z'**: NOT operation (complement) - Addition (+): OR operation - Multiplication (juxtaposition): AND operation The task is to find the Boolean expression that produces the same output column F in the truth table when evaluated with the same input scenarios.
Transcribed Image Text:**Truth Table and Boolean Expression Analysis** The image presents a truth table and a set of Boolean expressions, asking which expression correctly represents the truth table. ### Truth Table - **Columns**: x, y, z, F - **Rows**: 1. 000 | 0 2. 001 | 1 3. 010 | 1 4. 011 | 0 5. 100 | 0 6. 101 | 1 7. 110 | 0 8. 111 | 1 ### Boolean Expressions 1. \( x'y'z + xy'z' + xy'z + xyz' \) 2. \( (x'y'z + x'yz' + xyz + xyz')' \) 3. \( (x'y'z' + x'yz + xy'z' + xyz')' \) 4. \( x'y'z + x'yz' + xy'z + xyz \) Each expression uses standard Boolean operators and notation: - **x', y', z'**: NOT operation (complement) - Addition (+): OR operation - Multiplication (juxtaposition): AND operation The task is to find the Boolean expression that produces the same output column F in the truth table when evaluated with the same input scenarios.
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