TThere are three possible values: 4

TThere 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 a “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 are coded (in terms of binary values) and complete the truth table for this system.