\item \self Given is the set of states $S=\{s_0,\dots,s_7\}$. Find formulas in propositional logic that symbolically represent the sets $A = \{s_0, s_2,s_4, s_6 \}$, $B=\{s_0, s_1,s_2, s_3\}$, and $C=\{s_7, s_1\}$.