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7 - The University of Sydney MATH 1004 Second Semester...

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The University of Sydney MATH 1004 Second Semester Discrete Mathematics 2011 Tutorial 7 Week 8 1. Write a Boolean expression and the Boolean function for the switching circuit: x z y y y z 2. Write a Boolean expression and the Boolean function for the switching circuit: x z z y x y y x 3. Write down Boolean expressions in disjunctive normal form which represent the following Boolean functions and then Fnd their corresponding switching circuits. ( i ) x y z f ( x, y, z ) 1 1 1 0 1 1 0 1 1 0 1 1 1 0 0 1 0 1 1 0 0 1 0 1 0 0 1 0 0 0 0 1 ( ii ) x y z f ( x, y, z ) 1 1 1 0 1 1 0 1 1 0 1 1 1 0 0 0 0 1 1 1 0 1 0 0 0 0 1 0 0 0 0 0
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4. Find a Boolean expression and a switching circuit for each of the following Boolean functions. ( i ) x y f 1 ( x, y ) 1 1 0 1 0 0 0 1 0 0 0 0 ( ii ) x y f 2 ( x, y ) 1 1 1 1 0 1 0 1 1 0 0 1 5. Write down the other 14 Boolean functions of two variables and write down their Boolean expressions in disjunctive normal form.
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The University of Sydney MATH 1004 Second Semester Discrete Mathematics 2011 Problem Set 7 1.
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