3446524428 - CEG/EE 260 NAME: Midterm #2 Spring 2007 1....

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CEG/EE 260 Midterm #2 Spring 2007 NAME: 1. (20) Using a Karnaugh map, find ALL the minimal sum of products (SOPs) of the function: F = Σ W,X,Y,Z (0, 1, 2, 3, 4, 7, 8, 10, 11, 12, 15). You need to place a * in every distinguished 1-cell and identify all the essential prime implicants. Prime Implicants, W’X’, Y’Z’, YZ, X’Z’, XY Essential Prime Implicants: W’X’, Y’Z’, YZ All the minimal sum of products (SOP) of the function. X’Y F = W’X’ + Y’Z’ + YZ + X’Z’ 1
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2. (20) Find all the minimal product of sums (POS) of the function: F = Σ W,X,Y,Z (0, 4, 10) + d (1, 2, 9, 12, 13, 14, 15) Prime Implicants: Z, WY’, W’Y, XY Essential Prime Implicants: Z, WY’ W’Y F’ = Z + WY’+ XY Z’(W’+Y)(W+Y’) F = Z’(W’+Y)(X’+Y’) 2 WX YZ 00 01 11 10 00 01 11 10 d 0 0 d 0 0 d * * * 0 d 0 d d d
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3. (20) Implement the logic function F = Σ W,X,Y (0, 2, 3, 5) with the following components. (Feel free to use your own logic symbol, as long as the labeling is clear. You don’t have to use those standard MSI
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This note was uploaded on 05/03/2010 for the course CEG 260 taught by Professor Staff during the Spring '08 term at Wright State.

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3446524428 - CEG/EE 260 NAME: Midterm #2 Spring 2007 1....

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