The system is a speed warning device. It receives, on two lines, an indication of the speed limit on the highway. There are three possible values 45, 55, or 65 MPH. It receives from the automobile, on two other lines, an indication of the speed of the vehicle. There are four possible values under 45, between 46 and 55, between 56 and 65, and over 65 MPH. It produces two outputs. The first f indicates whether the car is going above the speed limit. The second g indicates that the car is driving at “dangerous speed” – defined as either over 65 MPH or more than 10 MPH above the speed limit. Show how each of the inputs and outputs is coded (in terms of binary values) and complete the truth table for the system. Design the system using the appropriate size of multiplexers.