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15 lines
555 B
15 lines
555 B
\item \self Find a symbolic binary encoding for
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$X = \{ 0,1, \ldots, 31 \}$.
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Use it to compute formulas in propositional logic that symbolically represent the following sets.
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\begin{itemize}
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\item $B =\{x \in X \mid \text{x is even}\}$
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\item $C =\{x \in X \mid \text{x is odd}\}$
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\item $D =\{0,1,2,3,4,5,6,7\}$
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\end{itemize}
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Compute the characteristic functions of the following sets by symbolic operations, using your results from before.
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\begin{enumerate}
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\item $E = B \cup D$
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\item $F = C \cap E$
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\item $G = E \setminus F$
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\end{enumerate}
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