# hw2 - CSE2300W Homework 2 1(20 points Use switching-algebra...

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CSE2300W Homework 2 1. (20 points). Use switching-algebra theorems to simplify each of the following logic functions. You need to list the theorems you use in each step, as in the following example. a) F = A B + A B D E + A ′• B C ′• E + A ′• B ′• C ′• E + A ′• B (C+E ) b) F = M R P + Q O ′• R +M N+O N M + Q P M O + N M Q R 2. (10 points) Write the truth table for each of the following logic functions. a) F = W ′• X + X (Y + Z ) b) F = (W X) (X + Y ) ′• (Z + Y ) 3. (20 points) Write the canonical sum and product for each of the following logic functions. a) F = Σ A,B,C,D (1, 2, 5, 6, 11, 12) b) F = Π A,B,C (0, 3, 5, 7) c) F = A ′• B + B ′• C + A D d) F = A ′• C + B C 4. (10 points) Use the theorems of switching algebra to rewrite the following expression using as few inversions as possible (complemented parentheses are allowed). List the theorems you use in each step. B C + A C D + A ′• C + E B + E (A+C) (A +D ) + E A D + A C E B 5. (10 points) Use DeMorgan’s theorem

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