Design a mod-6 counter with an (active high) enable input E and a maximum count indicator output Y which is 1 when the counter is at its maximum count and the circuit is enabled. Use JK-FF. In the next-state/output table, please write the state variables in the order Q2Q1Q0. Assume that the unused states will never occur because the flip-flops will be reset on power up, and use don’t cares to simplify the Boolean functions as much as possible.

Design a mod-6 counter with an (active high) enable input E and a maximum
count indicator output Y which is 1 when the counter is at its maximum count
and the circuit is enabled. Use JK-FF. In the next-state/output table, please write the state variables in the order Q2Q1Q0. Assume that the unused states will never occur because the flip-flops will be reset on power up, and use don’t cares to simplify the Boolean functions as much as possible.