four new car has a fancy adaptive cruise control system. You activate it by pressing a button on t steering wheel. However, when you press the button, it does not immediately turn on. Instead the system runs through a few sensors and reacts according to a set logic. The variables that each sensor (inputs) corresponds to are as below: Otherwise, S Otherwise, H-0 0. 1. lfspeed is over 25 mph, S S: H: D: W: Speed of the car. Hand sensor on steering wheel. If hands on wheel, H-1 Distance to car ahead. Rain sensor. 0. Otherwise, D-1 If distance over 20 yards, D If raining, W 1. Otherwise, W 0. The system has several actions as described below: A: Activates adaptive cruise control. I: Indicator on dashboard asking to hold steering wheel. B:Buzzer alerts the driver. The logic the system has to follow when you press the button is as follows The adaptive cruise control system will activate (A -1) if, the car is travelling over 25 mph, the car in front is more than 20 yards away and it is not raining outside. If it is raining, the system will only activate if the driver is also holding the steering wheel. The Indicator on dashboard will light up(-1) if the driver does not have their hand on the steering wheel and it is raining The buzzer will sound (B 1) if the car ahead is less than 20 yards away. I will also sound if it is raining and the driver is not holding the steering wheel The system runs though the above logic as programmed and outputs one or more of the actions. Answer the questions below based on this system. Using the inputs given, the expected outputs and the logic detailed, draw a truth table that describes the whole behavior of this system. 3 outputs must be considered Write the Minterms for the outputs A, I and B in brief notation form. Simplify the outputs using K-Map simplification. Draw the simplified logic circuit for the system. 1. 2. 3. 4