Problem 7:(7 pts)_In most cars, the power windows and radio only operate if the ignition switch is turned on. However, the headlights can be turned on at any time. Design the electrical controls of the car given the following variables and definitions Ignition Switch IG: 0 if off and 1 if on Power Window Switch WS: 0 if off and 1 if on Radio Switch RS: 0 if off and1 if on Light Switch LS: 0 if off and 1 if on Radio R: 0 if off and 1 if on Power windows W: 0 if off and 1 if on Lights L. Oif0ff and I ifon i. Create the truth table for the system given the 4 inputs and 3 outputs. ii. Implement the car system using a permanently enabled, active high 4:16 decoder and 3 logic OR gates (with as many inputs as you need to the OR gates)