Assignment 2 Answers - CGS 3269 Computer Architecture...

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CGS 3269 Computer Architecture Concepts Summer 2011 Solution for Assignment #2 “ ' ” means NOT, when it is in this form:(yz)' it means that the not operator applies to everything in the parentheses(meaning you have a bar on top of the whole content in the parentheses); when it is in this form:x' it means that the not operator applies only to x. 1. Construct a truth table for the following: a. xyz + x(yz)' + (xyz)' TRUTH TABLE X Y Z XYZ YZ (YZ)' X(YZ)' (XYZ)' F 0 0 0 0 0 1 0 1 1 0 0 1 0 0 1 0 1 1 0 1 0 0 0 1 0 1 1 0 1 1 0 1 0 0 1 1 1 0 0 0 0 1 1 1 1 1 0 1 0 0 1 1 1 1 1 1 0 0 0 1 1 1 1 1 1 1 1 1 0 0 0 1 b. (x + y)(x + z)(x' + z) TRUTH TABLE X Y Z X’ X+Y X+Z X’+Z F 0 0 0 1 0 0 1 0 0 0 1 1 0 1 1 0 0 1 0 1 1 0 1 0 0 1 1 1 1 1 1 1 1 0 0 0 1 1 0 0 1 0 1 0 1 1 1 1 1 1 0 0 1 1 0 0 1 1 1 0 1 1 1 1 2. Draw the combinational circuit that directly implements the Boolean expression: F (x,y,z)= x'yz + yz + xy'
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3. Find the truth table that describes the following circuit: Notice that before step 4 and step 5 we had to do a preliminary step. You do not have to do that, but this way it is easier to understand how we got to step 4 and 5. (+) – HERE MEANS XOR
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This note was uploaded on 03/08/2012 for the course CGS 3269 taught by Professor Staff during the Fall '08 term at University of Central Florida.

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Assignment 2 Answers - CGS 3269 Computer Architecture...

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