Implement a Function with a Multiplexer

# Implement a Function with a Multiplexer - Mallard ECE 290...

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Mallard ECE 290: Computer Engineering I - Spring 2007 - Graded Web... https://mallard.cites.uiuc.edu/ECE290/webgrade.cgi?SessionID=mding3... 1 of 3 2/15/2007 1:42 AM Graded WebQuiz: Implement a Function with a Multiplexer You have submitted this WebQuiz 1 time (including this time). You may submit this WebQuiz a total of 10 times and receive full credit. Hints: Draw the K-map for f. All questions can be answered directly from the K-map. (This is what I did.) 1. Alternatively, you could determine each response algebraically, by applying Shannon's Theorem. 2. Strategy for this problem: Suppose we want to implement a function h(x,y,z) = x'yz + xy' + yz' using a 2-to-1 mux with select input x. Recall Shannon's Theorem, which says we can write h as: h(x,y,z) = x' h(0,y,z) + x h(1,y,z) If x=0, what does h equal? That is the value that must feed into the mux on the D 0 input line. h(1,y,z) gives the value that must feed into the mux on the D 1 input line. The D 0 mux input is: h(0,y,z) = yz + 0 + yz' = y The D 1 mux input is: h(1,y,z) = 0 + y' + yz' = y' + z'

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