1. Design a circuit, in the form of next state equations in canonical sum-of-products form and simplify them, that will repeatedly cycle through the sequence 000, 000, 010, 011, 100, 101, 110, 111.2. Design a circuit, in the form of next state equations in canonical sum-of-products form and simplify them, that will repeatedly cycle through the sequence 000, 000, 010, 011, 100.
3. Design a state machine that will repeatedly display the sequence given below. You are to give a state diagram for your machine and are to give a truth table for the output logic.
000
010
000
101