Solve it as speed as posible pleas

Design a combinational circuit that generates the $9$s complement of an excess$-3$ code digit ; The $4-$bits input $($A$,$B$,$C$,$D$),$ and the $9$s complement output bits $($w$,$x$,$y$,$z$)$

$*$

$4$ points

w$=$A$\text{'}$B $+$ CD$,$ x$=$AB$\text{'}+$CD$,$ y$=$C$\text{'}$D$\text{'}+$A$\text{'}$C$\text{'},$ z$=$C$\text{'}$D$+$BC

w$=$A$\text{'},$ x$=$B$\text{'},$ y$=$C$\text{'},$ z$=$D$\text{'}$

w$=$A$\text{'}$B$,$ x$=$AB$\text{'},$ y$=$C$\text{'}$D$\text{'},$ z$=$C'DWhen reducing the following expression ABC'D $+$ A'BD $+$ ABCD to the minimum number of literals we will get:

$*$

$2$ points

B$+$D

BD

B$\text{'}$D