The remote start for an automobile will crank the engine under certain conditions. The logic circuit is shown in Figure 3-58. Inputs are defined as follows:

(a) Write the Boolean expression from the circuit diagram.

(b) Draw the truth table for this circuit.

(c) Write the unsimplified SOP expression (using all four-variable product terms).

(d) Use Boolean algebra to simplify the SOP expression in (c) to match the expression in (a)

(e) Implement this circuit using only NAND gates.

Figure 3-58

I M R L Ignition Motor_on Remote Locked Ignition switch in START position Engine running = HIGH Remote start button on FOB pressed = HIGH Doors locked = HIGH = HIGH