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sol4 - Solutions of Assignment 4 Question 1(X Y(X Z = X(X Z...

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Solutions of Assignment 4 Question 1 (X+Y) (X’+Z) = X • (X’+Z) +Y • (X’+Z) (T8) = X • X’ + X • Z + Y • X + Y • Z (T8) = 0 + X • Z + Y • X’ + Y • Z (T5) = X • Z + X’ • Y (T11) Question 2 Row W X Y Z F 0 0 0 0 0 0 1 0 0 0 1 0 2 0 0 1 0 0 3 0 0 1 1 1 4 0 1 0 0 0 5 0 1 0 1 0 6 0 1 1 0 0 7 0 1 1 1 1 8 1 0 0 0 0 9 1 0 0 1 0 10 1 0 1 0 0 11 1 0 1 1 1 12 1 1 0 0 0 13 1 1 0 1 0 14 1 1 1 0 0 15 1 1 1 1 0 Question 3 Canonical sum of products : F=X’ Y’ Z’+X Y’ Z’+X Y’ Z+X Y Z’+X Y Z Canonical product of sums: F=(X+Y+Z’) (X+Y’+Z) (X+Y’+Z’) Question 4 A minimal sum-of-products: F=B’ D’+B’ C+A’ C D’+A C’ D Question 5
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