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

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The University of Sydney MATH 1004 Second Semester Discrete Mathematics 2011 Tutorial 8 Week 9 1. Find simple switching circuits corresponding to the following Boolean functions: ( 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 1 0 1 0 1 0 0 1 0 0 0 0 0 ( ii ) x y z f ( x, y, z ) 1 1 1 1 1 1 0 1 1 0 1 0 1 0 0 0 0 1 1 1 0 1 0 1 0 0 1 1 0 0 0 0 2. For the following Karnaugh maps write down corresponding (simple) Boolean expressions. ( i ) yz yz y z y z x 1 1 1 1 x 1 0 0 1 ( ii ) yz yz y z y z x 1 0 1 1 x 1 1 0 1 3. For the following Karnaugh maps write down corresponding (simple) Boolean expressions. ( i ) yz yz y z y z wx 1 1 1 0 wx 0 1 1 1 w x 1 1 1 1 w x 1 1 1 0 ( ii ) yz yz y z y z wx 0 1 0 0 wx 0 1 1 1 w x 1 1 1 0 w x 0 1 1 0 4. Using AND and OR gates and inverters, draw digital logic circuits for the following Boolean expressions: ( i ) xy x . ( ii ) ( x y )( x y ). ( iii ) xyz z .
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This note was uploaded on 09/01/2011 for the course YEAR 1 taught by Professor Various during the Three '11 term at University of Sydney.

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

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