Problem $13-1$

Consider the sequential circuit below. Answer the questions and write all the steps you need to show your work.

$1)$ Find the next$-$state equations $(\backslash (\backslash$mathrm$\{$A$\}^\{+\},\backslash$mathrm$\{$B$\}^\{+\}\backslash ))(10$ marks$)($Lecture Unit $13$ slide $13)$

$2)$ Make the transition table. $(10$ marks$)($Follow the steps in Lecture Unit $13$ slide $14$ to $19)$

$3)$ The input sequence is $\backslash ($ X$=01100\backslash ).$ What is the output sequence $(10$ marks$)($Lecture Unit $13$ Slides $20-21,31-33)?$

$4)$ What comes next? Oh$,$ yeah, timing diagram. Please include appropriate gate and FF delays. $(10$ marks$)($Lecture Unit $13$ slide $20$ to $21)$