Using Algebraic manipulation, minimize the following function and implement with minimal number of gates: H(W,X,Y, Z) = WXY + WYZ + WXYZ + WXYZ + WYZ + WXY [10] Design a logic circuit that controls an elevator door in a three-story building. The circuit should operate such that it only opens the elevator door when the elevator is not moving and is positioned at the level of a particular floor. Clearly define your inputs, outputs, and any assumptions you make. a. Draw a truth table to show the operational behaviour of the circuit. [10] b. Express your output in canonical form as a sum of its minterms. [2]