Q$1.($Problem $14\mathrm{.}45+14\mathrm{.}46$ in the textbook$)[20$ pts$]$

There are two errors in the state graph shown. One state is not completely specified for one combination of $x_1$ and $x_2.$ In another state, there is a contradiction for one combination of $x_1$ and $x_2.(1)$ Correct the state graph by making two minor changes. Demonstrate that the modified state graph is completely specified. $(2)$ Also, derive the state table for it$.$

change

Before change,

$\backslash$table$[[$Present$,$Next State,Present Output$],[$State$,x_1{x}_2=00,01,10,11,Z_0,Z_1,Z_2$