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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.
The University of Sydney MATH 1004 Second Semester Discrete Mathematics 2011 Problem Set 7 1.
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7 - The University of Sydney MATH 1004 Second Semester...

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