Question 1 a) Simplify (A + C)(A + B) and draw the resulting gate [6] b) Prove that (P-Q) ^ ( R >0) Q [7] c) Determine the output of the gate below [5] H d) Given the systems of equation below , solve for x , y and z [6] 5x -2y +3z =1 3x +4y -2: =7 7x +2y =-5 WN e) Find the inverse of H = [7] 4 f) Given that matrix A = JON and B = [5 7 9] Evaluate 2(A.BT) [5] g) Use NAND gates only to represent the function f/ A, B, C,D) = (A^B) V (C^D) [6]