Q$14)$ Given the circuit below with $\backslash (\backslash$mathrm$\{$x$\}(\backslash$mathrm$\{$t$\})\backslash )$ as input, $\backslash (\backslash$mathrm$\{$y$\}(\backslash$mathrm$\{$t$\})\backslash )$ as output and two states $\backslash (\backslash$mathrm$\{$A$\}(\backslash$mathrm$\{$t$\})\backslash )$ and $\backslash (\backslash$mathrm$\{$B$\}(\backslash$mathrm$\{$t$\})\backslash ),$

a$)$ Write down the Boolean equations representing $\backslash (\backslash$mathrm$\{$A$\}(\backslash$mathrm$\{$t$\}+1),\backslash$mathrm$\{$B$\}(\backslash$mathrm$\{$t$\}+1)\backslash )$ and $\backslash (\backslash$mathrm$\{$y$\}(\backslash$mathrm$\{$t$\})\backslash ).$ Mark the components on the circuit representing the Boolean equations. $(10$ points$)$

b$)$ Write a State$/$Truth Table. $(10$ points$)$

c$)$ Draw a state diagram with labels, arrows between states along with labels $($input$/$output$).(20$ points$)$