Practice Problem Set #1

# Practice Problem Set #1 - for each of the following(a...

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ECE 301 – Digital Electronics Practice Problem Set #1 Solutions will be posted on Thursday, March 1, 2012 Do NOT submit this assignment. This assignment will NOT be graded. These are practice problems associated with the material covered in class this past week. These problems are similar to those that I can ask you on the exam. Use these problems to prepare for the exam. The solutions will be posted 2 days after this assignment is posted. Always read the associated sections of the textbook before attempting the homework problems! 1. (a) Plot the following function on a Karnaugh Map. (Do not expand before plotting). F(A,B,C,D) = A'B' + CD' + ABC + A'B'CD' + ABCD' (b) Find the minimum Sum of Products (SOP) expression. (c) Find the minimum Product of Sums (POS) expression. 2. Find the minimum Sum of Products (SOP) and minimum Product of Sums (POS) expressions for each of the following: (a) F(A,B,C,D) = Σ m(0, 2, 3, 4, 7, 8, 14) (b) F(A,B,C,D) = Π M(1, 2, 3, 4, 9, 15) 3. Find the minimum Sum of Products (SOP) and minimum Product of Sums (POS) expressions

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Unformatted text preview: for each of the following: (a) F(A,B,C,D) = Σ m(0, 2, 6, 9, 13, 14) + Σ d(3, 8, 10) (b) F(A,B,C,D) = Π M(0, 2, 6, 7, 9, 12, 13) . Π D(1, 3, 5) 1 of 2 Spring 2012 ECE 301 – Digital Electronics 4. Roth & Kinney – problem 5.19. 5. Roth & Kinney – problem 2.13, part (d). • Determine the Boolean expression that represents the given logic circuit. • Use Boolean algebra to simplify the Boolean expression • Draw the corresponding simplified logic circuit. 6. Roth & Kinney – problem 3.13, parts (b) and (c). 7. Roth & Kinney – problem 3.25, part (d). 8. Roth & Kinney – problem 4.7. 9. Determine the minterm and maxterm expansions for the logic functions given below. • Specify the minterm expansion using “little-m” notation. • Specify the maxterm expansion using “big-M” notation. (a) F(A,B,C,D) = AB + A'CD (b) F(A,B,C,D) = (A + B + D').(A' + C).(C + D) 2 of 2 Spring 2012...
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Practice Problem Set #1 - for each of the following(a...

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