Extra Credit Problem $(15$ points$)$:

Design a Moore finite state machine that outputs a logic high when the input sequence has an even number of zeros and an odd number of ones. The machine should reset when a specific reset signal is asserted. Provide:

The state diagram of the FSM$.$

The state table showing the next state and output for each input.

The Boolean expressions for the next state logic.

Implement the FSM using D flip$-$flops.