\item \self Find a symbolic binary encoding for
$X = \{ 0,1, \ldots, 31 \}$.
Use it to compute formulas in propositional logic that symbolically represent the following sets. 

  \begin{itemize}
    \item $B =\{4, 5, 12, 13, 20, 21, 28, 29 \}$
    \item $C =\{1, 2, 13, 14 \}$
  \end{itemize}
  
  Compute the characteristic functions of the following sets by symbolic operations, using your results from before.
  \begin{enumerate}
    \item $D = B \cup C$
    \item $E = X \setminus D$
  \end{enumerate}