(Solved): [5 marks] Draw a state diagram for a Mealy finite state machine that has one input \( \mathbf{X} \ ...

[5 marks] Draw a state diagram for a Mealy finite state machine that has one input \( \mathbf{X} \) and one output \( \mathbf{Z} \). The machine needs to be able to recognize when an even number of 1's and an odd number of 0's have been input. When this happens, the output \( Z \) will be 1 . At all other times, the output \( \mathbf{Z} \) is 0 . For example, \[ \begin{array}{l} X=\begin{array}{llllllllllllll} 0 & 0 & 1 & 0 & 0 & 1 & 0 & 1 & 1 & 0 & 0 & 1 & 0 & 0 \end{array} \\ Z=\begin{array}{llllllllllllll} 0 & 1 & 0 & 0 & 0 & 0 & 0 & 1 & 0 & 1 & 0 & 1 & 0 & 0 \end{array} \\ \end{array} \] \( < \) You need only draw the state diagram for this question. \( > \) Observe: You are on