Assuming that states $S0,S1$ and $S2$ have been codified as $S0$:$00$;$S1$:$10$;$y2$: $01,$ complete the following state transition table and the output table of figure $1.$

Be carefull with the states' codes

Note: Write the table entering the "Next state" column from top to bottom, separating the states with a white space, and then the "Output" column, in the same order,

with a white space between outputs. Example: Table of figure $2$ should be entered as $11110000$ xxxx $00011010x10("$x$"$ lowercase$).$

Figure $1$

Figure $2$