Please answer a,b,c,d,e,f !

Construct a finite state machine for a "Wacky" mod 6 counter. If it receives a 0 it counts up by 1. If it receives a 1 it counts up by 2. A light comes on when the count is 4 or 5. a. What are the machine states? b. What are the inputs? c. What are the outputs? d. Draw state table e. Explain if you built a Mealy or Moore machine. f. Define the circuit with the Boolean equations