Problem set 4 for CSCI 255 -- Spring 2000

Problem 1. (4 points)

Start with the function of three Boolean variables expressed in following truth table:

x y z Result
0 0 0 1
0 0 1 0
0 1 0 1
0 1 1 0
1 0 0 1
1 0 1 0
1 1 0 1
1 1 1 1

First, express the function in the canonical sum-of-products form as the sum of five minterms.

Second, simplify the function using Boolean manipulation.

Third, use a truth table to show that your simplication if valid.

Problem 3. (4 points)

Do the following problems from pages 118 and 119 of the textbook:


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