Jenkins_Crystal_HW2

# Jenkins_Crystal_HW2 - Crystal Jenkins PID: 2965288 1....

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Crystal Jenkins PID: 2965288 1. Construct a truth table for the following: a.  xyz + x(yz)' + (xyz)' b.  (x + y)(x + z)(x' + z) a. X Y Z XYZ (YZ) (YZ)’ X(YZ)’ (XYZ)’ XYZ + X(YZ)’ + (XYZ)’ 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 Z (X+Y) (X+Z) (X’+Z) (X+Y) (X+Z)(X’+Z) 0 0 0 0 0 1 0 0 0 1 0 1 1 0 0 1 0 1 0 1 0 0 1 1 1 1 1 1 1 0 0 1 1 0 0 1 0 1 1 1 1 0 1 1 0 1 1 0 0 1 1 1 1 1 1 1

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2. Draw the combinational circuit that directly implements the Boolean expression: F (x,y,z)= x'yz + yz + xy' 3. Find the truth table that describes the following circuit: X Y Z X Z YZ X(X Y) (X Y) (YZ) (X Y) (YZ) 0 0 0 0 0 0 1 1 0 0 0 1 0 0 0 1 1 0 0 1 0 1 0 0 0 1 1 0 1 1 1 1 0 0 0 0
1 0 0 1 0 1 0 1 1 1 0 1 1 0 1 0 1 1 1 1 0 0 0 0 1 1 0 1 1 1 0 1 0 1 0 1 Z (X Y) (YZ) (X Y) (YZ) + Z X(X Y) +(X Y) (YZ) +Z 1 0 1 1 0 0 0 0 1 1 1 1 0 0 0 0 1 1 1 1 0 1 1 1 1 0 1 1 0 1 1 1       4. Show how you derived the answer.            a) How many inputs does a decoder have if it has 32 outputs?

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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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Jenkins_Crystal_HW2 - Crystal Jenkins PID: 2965288 1....

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