Design a sequential circuit with $2$ inputs x$1$ and x$0$ with the following specifications: when x$1$x$0=00,$ then we have $0$ to $1$ to $2$ to $3$ to $0$; when x$1$x$0=01,$ the we have $3$ to $2$ to $1$ to $0$ to $3$; when x$1$x$0=10,$ then we have $0$ to $2$ to $1$ to $3$ to $0$; when x$1$x$0=11,$ the we stay at our states