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21 lines
720 B
21 lines
720 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 find characteristic functions for the following sets. If possible, simplify the formulas.
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\begin{enumerate}
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\item $B =\{x \in X \mid 24 \leq x < 32\}$
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\item
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$C = \left\{ x \in X \middle| \enspace
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\begin{array}{lll}
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4 & \leq \enspace x & < 8 \\
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12 & \leq \enspace x & < 16 \\
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20 & \leq \enspace x & < 24
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\end{array}
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\right\}$
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\end{enumerate}
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Compute the characteristic functions of the following sets by symbolic operations, using your results from before and simplify your formulas.
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\begin{enumerate}
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\item $D = B \cup C$
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\item $E = B \cap C$
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\end{enumerate}
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