\item \lect Consider the domain $A=\{Spain, France, Italy, Germany\}$ and the two different symbolic encodings for $A$ given below. Which one gives a shorter symbolic representation for the set $B=\{France, Germany\}$? Illustrate your answer by giving the representing formulas for $B$ in both encodings. \vspace{.5cm} % \begin{minipage} \begin{tabular}{l|l|l} \hline \multicolumn{3}{c}{\textbf{Encoding 1}} \\ \hline Element & $v_1$ & $v_0$ \\ \hline Spain & $0$ & $0$ \\ France & $1$ & $0$ \\ Italy & $0$ & $1$ \\ Germany & $1$ & $1$ \end{tabular} %\end{minipage} %\begin{minipage} \hspace{3cm} \begin{tabular}{l|l|l} \hline \multicolumn{3}{c}{\textbf{Encoding 2}} \\ \hline Element & $v_1$ & $v_0$ \\ \hline Spain & $0$ & $0$ \\ France & $1$ & $0$ \\ Italy & $1$ & $1$ \\ Germany & $0$ & $1$ \end{tabular} %\end{minipage}