Problem set 5 for CSCI 255 -- Spring 2000

• Due: Monday, 28 February, 3:15 pm

Problem 1. (2 points)

Simplify the following function with Karnaugh maps

• F(x, y, z, w) = w'x' + w'xy + wx + wx'y' + x'y

Problem 2. (2 points)

Simplify the following function, with don't care conditions, with Karnaugh maps

• F(A, B, C, D) = Σ(0, 1, 3, 7, 11, 12)
• F(A, B, C, D) = d(2, 5)

Problem 3. (2 points)

Simplify the following function, with don't care conditions, with Karnaugh maps

• F(A, B, C) = Σ(0, 2, 4, 6, 7)
• F(A, B, C) = d(5)

Problem 4. (4 points)

Write the truth table for the top and bottom segments of the hex (4-input) 7-segment display. Encode that information for espresso. Now run espresso and decode its output into a sum-of-products expression of circuit needed to compute these outputs.

You may do this part of the assignment with a team of three people.

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