Q$5.$ Design a $4-$bit counter using a $4-$bit register with any needed logic gates, Logic $1$ and Logic $0.$ The counter should have three synchronous control inputs. These inputs work as follows:

Design a $4-$bit counter circuit with Load $($L$),$ Up $($U$)$ and Enable $($E$)$ inputs. The functionality is specified in the state table below. When $\backslash ($ L$=1\backslash ),$ the input values, $\backslash ($ I$=$I$\_\{3\}$ I$\_\{2\}$ I$\_\{1\}$ I$\_\{0\}\backslash ),$ will be transferred to the $\backslash (\backslash$mathbf$\{$Q$\}\backslash )$ outputs. The Load value will be within the values where the counting operation will take place. The counting process will continue based on the $\backslash (\backslash$mathbf$\{$E$\}\backslash )$ input. When $\backslash (\backslash$mathbf$\{$U$\}=1,\backslash$mathbf$\{$Q$\}\backslash )$ value is increased by $2$ and when $\backslash (\backslash$mathbf$\{$U$\}=0,\backslash$mathbf$\{$Q$\}\backslash )$ value is decreased by $1.$ The counting operation will be performed between the last digit of your student number and $15.$