7. Let F = (x+y)(x + 2) + (x + 2)(y + 2) + x'y'z' and...

 

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7. Let F = (x+y)(x + 2) + (x + 2)(y + 2) + x'y'z' and G = x + (y = z). Show that F = G (Hint: Equivalence operator (=) is defined as (a = b) = ab + a'b') (a) (1 Point) By using the truth tables of F and G. (b) (2 Points) By simplifying F to the minimum number of terms. (c) (2 Point) Draw the logic diagrams of F and G. Compare the total number of logic gates. 7. Let F = (x+y)(x + 2) + (x + 2)(y + 2) + x'y'z' and G = x + (y = z). Show that F = G (Hint: Equivalence operator (=) is defined as (a = b) = ab + a'b') (a) (1 Point) By using the truth tables of F and G. (b) (2 Points) By simplifying F to the minimum number of terms. (c) (2 Point) Draw the logic diagrams of F and G. Compare the total number of logic gates.