A friend would like you to build an electronic eye for use as a fake security device. The device consists of three lights lined up in a row, controlled by the outputs Left, Middle, and Right, which, if asserted, indicate that a light should be on. Only one light is on at a time, and the light moves from left to right and then from right to left, thus scaring away thieves who believe that the device is monitoring their activity. Note that the clock speed (which should not be too great or too small) controls the rate of the eyes movement and that there are no inputs.

a. Draw the State Diagram for the finite-state machine used to control the electronic eye

b. Assign state numbers to the states of the finite-state machine you construct and using your state diagram create the appropriate state tables

c. Write the set of logic equations for the 3 outputs as well as the next-state bits