Design a combinational circuit using logic gates that takes as input a 4-bit binary number, represented via the positions of four switches, and has its outputs control two LEDs as described below. The LEDs should change according to the following table:

a. Create a truth table for all of the possible inputs and outputs. Note that you have four inputs, which should be connected to switches on the board, and two outputs, one for each LED.

b. Derive a standard Boolean expression from the truth table.

c. Use either Boolean algebra or K-maps to determine the minimal expression for each of the desired outputs.

Light Setting Input Values 0-3 4-7 Left Red On On Off Off Off Off Right Red On Off On Off On Off 10-11 12-15