hw4 - [CSM51A W09 Assignment 4 Assigned Due TAs Pouya...

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[CSM51A W09] Assignment 4 Assigned: 02/02/09, Due: 02/09/09 TAs: Pouya Dormiani ([email protected]), Gabriel Pan ([email protected]) Rules of Engagement: Exercises are for your practice–solutions are provided so you can check your work. Homework problems must be submitted on the specified due date before lecture starts. Once lecture starts, a homework is considered late and will not be accepted. Please write legibly and follow directions. Exercises From the book: 5.4, 5.6, 5.15, 5.16, 5.19 Homework Problems (50 points total) Problem 1 (10 points) For f ( w, x, y, z ) = Q M (0 , 1 , 4 , 6) 1. (2 points) Find all the prime implicants. 2. (2 points) Which of these prime implicants are essential? 3. (1 points) Write the minimal sum of products for f . Is it unique? 4. (2 points) Find all the prime implicates. 5. (2 points) Which of these prime implicates are essential? 6. (1 points) Write the minimal product of sums for f . Is it unique? Problem 2 (5 points) We are given a function f ( w, x, y, z ) = (4 , 5 , 6 , 8 , 9 , 10 , 13), dc ( w, x, y, z ) = (0 , 7 , 15). Use the Quine-McCluskey method to find the minimum sum of products.
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