Q.2 A car locking system is to be designed with four inputs (D, B, A, and E) and one output L, with the following conditions a. Door, D=1 when it is closed b. Brake, B=1 when pressed c. Accelerator, A=1 when pressed d. Engine, E=1 when turned on The output L (locked) is activated (logic 1) when the following condition occurs When the door is closed and engine turned off When the engine is turned on and the door is closed, and the brake or the accelerator is pressed (a) Derive the truth table for the logic circuit. (7 Marks) (b) Obtain the minimum Boolean expression in SOP form. (4Marks) (c) Obtain the minimum Boolean expression in POS form. (4Marks) (d) Which Boolean expressions (SOP or POS) result in the least number of literals? Draw the minimum logic circuit using basic gates (AND, OR, NOT). (5 Marks) (e) Redraw the circuit in part (d) using NOT, NAND, and/or NOR gates only