Question 2. a) Derive the Boolean expression for the logic circuits shown below: b) Draw the following Boolean expression using the logic gates: y = (B+C+D) (Ã+B+D) (A+B+C+D) e) Using Boolean algebra techniques, simplify the expression. X = ABC + ABC + AB C + AB C +Ã BČ

7. Given the following truth table, write an algebraic expression for the function F, simplify the expression, and then draw a logic circuit for it. A C F 1 1 1 1 1 1 1 1 1 1 1 1

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4. Derive the truth table, and compute F as a Boolean expression of a, b, and c, for the Boolean function F from the circuit shown below. b' C a b a b' C a a¹ C b D t Do

Given the Boolean function:  F = xy' + z'y'z + xyz e. Draw the logic diagram from the simplified expression and compare the total number of gates wilh the diagram of part (b).

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Make a logic circuit for each of the following Boolean expressions using AND gates, OR gates and NOT gates. a. X = AB + C b. Z - AB + BA