$5\mathrm{.}1$ Non$-$return$-$to$-$zero inverted $($NRZI$)$ is a data coding scheme used to communicate with USB devices. The output signal $($ z $)$ of a NRZI generator transitions when the input bit $($ x $)$ is $0$ and remains at constant previous value $(0$ or $1)$ when the input bit is $1.$ That is$,$ from right to left when the input to the NRZI generator is $000000,$ its output from right to left will transition as $101010.$ Its output for consecutive $1$ s at the input, however, will remain at the previous output value. For example, the NRZI generator outputs from right to left z: $0000010111101011$ for input X: $1111000111000011$ read from right to left. Likewise, for $x=0xCF0C,Z$ : $0$ xEFAE $.$ Design the NRZI generator. Design the circuit for the NRZI $($Hint: design a Mealy FSM$).$