b$.[4$ points$]$ Construct the following characteristic table for the given sequential circuit:

$\backslash$table$[[$Present State,Input,Next State,Output$],[$A$,$B$,$x$,$A$,$B$,$y$],[,,,,,],[,,,,,],[,,,,,],[,,,,,],[,,,,,],[,,,,,],[,,,,,],[,,,,,]]$

Q$2)$ A sequential circuit with two $T$ flip$-$flops A and $B,$ and one external input $x.$ The circuit has one output $y$ as given in the following state diagram. $(6$ marks$)$

Perform the following tasks:

a$)$ Fill the following State table. $(4$ marks$)$

$\backslash$table$[[$Present State,Input,Next State,Flip Flop Inputs,Output$],[A,B,x,A,B,TA,TB,Y$