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anonymous
 3 years ago
How many rows appear in a truth table for the compound proposition: \[(p \leftrightarrow q) \oplus (\neg p \leftrightarrow \neg r) \wedge \neg q\]
anonymous
 3 years ago
How many rows appear in a truth table for the compound proposition: \[(p \leftrightarrow q) \oplus (\neg p \leftrightarrow \neg r) \wedge \neg q\]

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UnkleRhaukus
 3 years ago
Best ResponseYou've already chosen the best response.1you have three variables \(p,q,r\) so you will have \(2^3=8\) rows,

UnkleRhaukus
 3 years ago
Best ResponseYou've already chosen the best response.1\[\begin{array}{ccccc}\hline p& q&r&&\\\hline T&T&T&&\\T&T&F&&\\T&F&T&&\\ T&F&F&&\\F&T&T&&\\F&T&F&&\\F&F&T&&\\F&F&F&&\\\hline\end{array}\]

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0so you ignore the negations?

UnkleRhaukus
 3 years ago
Best ResponseYou've already chosen the best response.1\[\begin{array}{ccccc}\hline p&\neg p& q&\neg q&r&\neg r&\\\hline T&F&T&F&T&F\\T&F&T&F&F&T\\T&F&F&T&T&F\\ T&F&F&T&F&T\\F&T&T&F&T&F\\F&T&T&F&F&T\\F&T&F&T&T&F\\F&T&F&T&F&T\\\hline\end{array}\]

UnkleRhaukus
 3 years ago
Best ResponseYou've already chosen the best response.1\[\begin{array}{cccccc}\hline p&\neg p& q&\neg q&r&\neg r&p\iff q&\neg p\iff \neg q\\\hline T&F&T&F&T&F\\T&F&T&F&F&T\\T&F&F&T&T&F\\ T&F&F&T&F&T\\F&T&T&F&T&F\\F&T&T&F&F&T\\F&T&F&T&T&F\\F&T&F&T&F&T\\\hline\end{array}\]... to continue i need to know which has hight precedence in operation? \(\oplus,\lor\) ?
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