\item \self Given a state space of size $|S| = 64$. Find a symbolic binary encoding for this state space and compute the formulas that symbolically represent the sets  $$B = \{s_{32}, s_{33}, s_{34}, ..., s_{63}\} \enspace \text{and} \enspace C = \{s_{16}, s_{17},, s_{18}, ..., s_{40}\}.$$

Following, compute the formulas that represent the sets $D = B \cap C$, $E = B \cup C$, $F = B \setminus C$ and $G = C \setminus B$.