Design a speed warning system that 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, $\backslash (\backslash$mathbf$\{$G$\}\backslash ),$ 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$.$ The inputs are coded as follows:

a$)$ Complete the Truth table for the speed warning system

b$)$ Write the Minterm expressions for the Output Functions.

c$)$ Minimize the output functions

d$)$ Implement the logic

e$)$ Using LabView, verify the Correctness of the Speed Warning System.