The traffic department is trying out a new system of traffic lights based on a busy vs. quiet intersection traffic model. We have to design a digital circuit which operates this new type of traffic light. Traffic States for Busy Times Red Green Red Yellow Red Red Green Red Yellow Red Red Red Traffic States for Quiet Times Red Green Red Yellow Green Red Yellow Red There are six lights to operate. The Red, Yellow, and Green lights in the North-South direction will be designated as R1, Y1, G1. Similarly, the lights in the East-West direction will be called R2, Y2, and G2. When the digital signals are 1 they turn their respective lights on, otherwise the lights are off. An additional input signal will designate whether it is a busy or quiet time. A digital clock signal will be supplied and at each clock pulse the lights should change according to the schedule given. The design of the circuit that produces the clock pulses at appropriate times will not be considered here. Looking at the original specification, we see that there are 6 states (light patterns) for the Busy period and 4 states for the Quiet period . Two states (3 and 6) have exactly the same traffic light outputs. Could they be merged as one state