ECE4500_Homework3_solutions_corrected

ECE4500_Homework3_solutions_corrected - Virginia Tech ECE...

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Virginia Tech ECE 4500 Spring 2009 Homework 3 Due at 11:59 p.m. (EST) on February 15 Name: __________ SOLUTIONS ______________ ID Number: __________________________ Instructions: Enter your answers into a single Word or PDF document. Show your work to a reasonable extent, and clearly indicate your answers . Instructions for submitting your work will be provided at Blackboard. 1. Construct truth tables for the following Boolean expressions, where the complement of a variable w is written as w’. a) xyz + xyz’ + x’yz’ ANSWER: x y z Result 0 0 0 0 0 0 1 0 0 1 0 1 0 1 1 0 1 0 0 0 1 0 1 0 1 1 0 1 1 1 1 1 b) x’z + xy’z ANSWER: x y z Result 0 0 0 0 0 0 1 1 0 1 0 0 0 1 1 1 1 0 0 0 1 0 1 1 1 1 0 0 1 1 1 0 2. The truth table for Boolean function F is shown below. Write F in sum-of-products form. x y z F 0 0 0 0 0 0 1 1 0 1 0 1 0 1 1 0 1 0 0 0 1 0 1 1 1 1 0 0 1 1 1 0 ANSWER: F = x’y’z + x’yz’ + xy’z Incidentally, this can be simplified to F = y’z + x’yz’ (The simpler version was not required as your answer.)
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3. Null and Lobur, Chapter 3, exercise 26.
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This note was uploaded on 09/24/2011 for the course ECE ECE4500 taught by Professor Kam during the Spring '10 term at Virginia Tech.

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ECE4500_Homework3_solutions_corrected - Virginia Tech ECE...

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