Q$\mathrm{.}1.$ Design a digital circuit by using one J$-$K Type $FF$ and the required number and types of regular logic gates. The circuit will have two inputs $(x$ and $y)$ and one output $(Q_n).$ It should implement;

a toggle $($complement the current value in the FF$)$ if the inputs are $x=0,y=0$

reset $($make the FF value logical $0))$ if the inputs are $x=0,y=1$

set $($make the FF value logical $1))$ if the inputs are $x=1,y=0$

keep the state $($keep the value of FF$)$ if the inputs are $x=1,y=1$

Q$\mathrm{.}1.$a$.$ Fill the following state table below for the above$-$mentioned circuit

$\backslash$table$[[x,y,Q_n,Q_{n+1}$