1. Design a three-bit binary counter using a T flip-flop for output A (MSD), a J-K flip-flop for output B, and a D flip-flop for output C (LSD). The circuit should count in binary from 0 to 6. Assume state ABC=111 will never occur. (a) Obtain the state table of the three-bit counter. Include the flip-flop inputs J,-KA, D. and Te (b) Obtain the state diagram. (c) Draw the logic diagram of the circuit.