#4

Prove the following theorems algebraically i) (A + B)(A + B) = A ii) XY + XY' = X iii) X + XYZ = X iv) X(X + Y) = XY Simplify each of the following expression by applying one of the theorems. State the theorems used. a) X'Y'Z + (X'Y'Z) b) (A'B + C + D)(A'B + D) Draw a circuit using the following expression (de not simplify the expression) F = (AB + C'D)(B' + AC')