\item \lect Given is the set of states $S=\{s_0,\dots,s_7\}$. Find formulas in propositional logic that symbolically represent the sets $A = \{s_7, s_6,s_3, s_2 \}$, $B=\{s_1, s_3,s_5, s_7\}$, and $C=\{s_7, s_6,s_0, s_1\}$.