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Question
Let \[X = A \overline{ BC} + B\overline{ CA} + C\overline{AB } .\] Evaluate X for A = 1, B = 0, C = 1.
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Solution
Given:
Output
\[X = A \overline{ BC} + B\overline{ CA} + C\overline{AB } .\]
A = 1, B = 0, C = 1
\[X = 1 . ( \overline{{0 . 1)}} + 0 . ( \overline{{1 . 1)}} + 1 . ( \overline{{1 . 0)}}\]
\[ = 1 . \bar{0} + 0 . \bar{1} + 1 . \bar{0}\]
\[ = 1 . 1 + 0 . 0 + 1 . 1\]
\[ = 1 + 0 + 1\]
\[ = 1 + 1\]
\[ = 1\]
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