please answer all question and show all work

The A-Z Products Company has three loading bays at the rear of their warehouse with limited space to maneuver. When trucks arrive, the drivers can't see whether or not the loading bays are occupied. The warehouse manager wants a light system to alert drivers as to the availability of the loading bays, a red light indicating all bays are full, yellow indicating there is only one bay available and a driver should wait on the street if he sees another truck heading down the drive to the rear of the building, and a green light indicating two or more bays are empty A contractor has already installed sensors at the docks to indicate the presence of trucks in each bay. The sensors, labeled A, B, and C, provide a logic one when a truck is present, a logic zero otherwise. Your task is to design a controller for the light system. The output of the controller should be three outputs, each output a logic one to turn a light on, a logic zero to inhibit the light. 1. Complete the following truth table to describe your design. Using a total of three Karnaugh maps (one for each output), attempt to simplify the Red, Yellow, and Green signals. One Kanaugh map is provided for you. A BCll Red |Yellow | Green B C A0001 11 10 2. Write equations for the output signals. Be sure to use Demorgan's where helpful, e.g (-A&-B)-A| B) Red = Yellow = Green = 3. We can simplify the Yellow output signal by using the Red and Green output signals rather than the A, B, and C input signals. Write the equation that defines the Yellow output signal in terms of the Red and Green output signals. Again be sure to use Demorgan's where helpful. Yellow = 4. Draw the final circuit based on the results from steps 2 and 3