$1.$ Build a logic diagram for the following logic function:

Z $=$ X$$Y $+$ X Y$+$ XYW$$

IMPORTANT: Make sure everything is fully and clearly labeled.

$2.$ Fill the following table for output Z$.$

$($You can run this in Gate Logic Simulator, which is free.$)$

X Y W Z

$001$

$011$

$110$

$3.$ Show how the logic diagram would look like for input X$=0,$ Y $=1,$ W$=1.$ Once again, make sure everything is labeled.

$($This can also run on Gate Logic Simulator.$)$

$4.$ Once that has been completed, repeat all the steps for the following:

Z $=$ XY$$W $+$ XY $+$ YW