Answer
a) $Q(0,0,0) \land Q(0,1,0)$
b) $Q(0,1,1) \lor Q(1,1,1)\lor Q(2,1,1)$
c) $\neg Q(0,0,0) \lor \neg Q(0,0,1)$
d) $ \neg Q(0,0,1) \lor \neg Q(1,0,1) \lor \neg Q(2,0,1)$
Work Step by Step
a) y can take on values 0 or 1 and all values are possible.
$$Q(0,0,0) \land Q(0,1,0)$$
b) x can take on values 0,1 or 2 and there has to exists one value out of the three for the propositional function.
$$Q(0,1,1) \lor Q(1,1,1)\lor Q(2,1,1)$$
c) z can take on values 0 and 1 and there has to exists one value out of the two for the propositional function.
$$\neg Q(0,0,0) \lor \neg Q(0,0,1)$$
d) x can take on the values 0,1 or 2.
$$ \neg Q(0,0,1) \lor \neg Q(1,0,1) \lor \neg Q(2,0,1)$$
