1. Design the state transition diagram for the below digital system. A stream of bits is input to the system using Input 1 and Input 2. Groups of 3 bits from Input 1 and Input 2 are added and the 4-bit sum is output by the digital system.

2. How many flipflops are needed for your state transition diagram ?

3. Draw the digital logic implementation of the FSM in problem 1. ? Label the input logic, output logic.