P$2.(10$ points$)$ Complete the following circuit diagram to implement a $3-$bit register. You may use any other logic gates or components to finish your work. The register has two control inputs $($ C $1$ and C $0),$ three parallel input lines $(\backslash (\backslash$mathrm$\{$I$\}2,\backslash$mathrm$\{$I$\}1\backslash ),$ and I $0),$ and three output lines $($Q$2,$ Q$1,$ and Q$0).$ Depending on the values of C $1$ and C$0,$ the register performs one of the following four operations:

Clearly label all inputs, outputs, and pins.