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  1. \item \self Find a symbolic binary encoding for
  2. $X = \{ 0,1, \ldots, 31 \}$.
  3. Use it to compute formulas in propositional logic that symbolically represent the following sets.
  4. \begin{itemize}
  5. \item $B =\{4, 5, 12, 13, 20, 21, 28, 29 \}$
  6. \item $C =\{1, 2, 13, 14 \}$
  7. \end{itemize}
  8. Compute the characteristic functions of the following sets by symbolic operations, using your results from before.
  9. \begin{enumerate}
  10. \item $D = B \cup C$
  11. \item $E = X \setminus D$
  12. \end{enumerate}