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Computer Engineering
1. Truth Table Construct a truth table for the following: a) F(x,y,z)=y'z + xz X 0 0 0 0 y 0 0 1 1 N 0 1 0 1 1 00 1 0 1 1 1 0 1 1 1 F LL b) F(x, y, z) = x'V'Z + X'V. X 0 0 0 0 y 0 0 1 1 N 0 1 0 1 1 00 1 0 1 1 1 0 1 1 1 LL F

1. Truth Table Construct a truth table for the following: a) F(x,y,z)=y'z + xz X 0 0 0 0 y 0 0 1 1 N 0 1 0 1 1 00 1 0 1 1 1 0 1 1 1 F LL b) F(x, y, z) = x'V'Z + X'V. X 0 0 0 0 y 0 0 1 1 N 0 1 0 1 1 00 1 0 1 1 1 0 1 1 1 LL F

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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## Class Exercises #3 ### 1. Truth Table **Construct a truth table for the following:** #### a) \( F(x, y, z) = \overline{y}z + xz \) | x | y | z | F | |---|---|---|---| | 0 | 0 | 0 | | | 0 | 0 | 1 | | | 0 | 1 | 0 | | | 0 | 1 | 1 | | | 1 | 0 | 0 | | | 1 | 0 | 1 | 1 | | 1 | 1 | 0 | 0 | | 1 | 1 | 1 | 1 | #### b) \( F(x, y, z) = x'\overline{y}z + x'y \) | x | y | z | F | |---|---|---|---| | 0 | 0 | 0 | | | 0 | 0 | 1 | | | 0 | 1 | 0 | | | 0 | 1 | 1 | | | 1 | 0 | 0 | | | 1 | 0 | 1 | | | 1 | 1 | 0 | | | 1 | 1 | 1 | | ### Explanation of Diagrams: The diagrams represent two truth tables for the provided logical expressions. - **Table for part (a):** This table evaluates the expression \( F(x, y, z) = \overline{y}z + xz \). Each row represents a combination of input values \( x \), \( y \), and \( z \), and the corresponding output \( F \). - **Table for part (b):** This table evaluates the expression \( F(x, y, z) = x'\overline{y}z + x'y \). Similarly to the first table, each row shows a combination of input values and the resulting output. Both tables contain columns for input values \( x \), \( y \), and \( z \), and a column for the output \( F \). The outputs are calculated based on the given Boolean expressions.
Transcribed Image Text:## Class Exercises #3 ### 1. Truth Table **Construct a truth table for the following:** #### a) \( F(x, y, z) = \overline{y}z + xz \) | x | y | z | F | |---|---|---|---| | 0 | 0 | 0 | | | 0 | 0 | 1 | | | 0 | 1 | 0 | | | 0 | 1 | 1 | | | 1 | 0 | 0 | | | 1 | 0 | 1 | 1 | | 1 | 1 | 0 | 0 | | 1 | 1 | 1 | 1 | #### b) \( F(x, y, z) = x'\overline{y}z + x'y \) | x | y | z | F | |---|---|---|---| | 0 | 0 | 0 | | | 0 | 0 | 1 | | | 0 | 1 | 0 | | | 0 | 1 | 1 | | | 1 | 0 | 0 | | | 1 | 0 | 1 | | | 1 | 1 | 0 | | | 1 | 1 | 1 | | ### Explanation of Diagrams: The diagrams represent two truth tables for the provided logical expressions. - **Table for part (a):** This table evaluates the expression \( F(x, y, z) = \overline{y}z + xz \). Each row represents a combination of input values \( x \), \( y \), and \( z \), and the corresponding output \( F \). - **Table for part (b):** This table evaluates the expression \( F(x, y, z) = x'\overline{y}z + x'y \). Similarly to the first table, each row shows a combination of input values and the resulting output. Both tables contain columns for input values \( x \), \( y \), and \( z \), and a column for the output \( F \). The outputs are calculated based on the given Boolean expressions.
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