How many rows appear in a truth table for the compound proposition: $$(p \leftrightarrow q) \oplus (\neg p \leftrightarrow \neg r) \wedge \neg q$$

Question

unklerhaukus · Answer

you have three variables $p,q,r$

so you will have $2^3=8$ rows,

unklerhaukus · Answer

$$\begin{array}{|c|c|c|c|c|}\hline p& q&r&&\\hline T&T&T&&\T&T&F&&\T&F&T&&\ T&F&F&&\F&T&T&&\F&T&F&&\F&F&T&&\F&F&F&&\\hline\end{array}$$

lgbasallote · Answer

so you ignore the negations?

unklerhaukus · Answer

$$\begin{array}{|c|c|c|c|c}\hline p&\neg p& q&\neg q&r&\neg r&\\hline T&F&T&F&T&F\T&F&T&F&F&T\T&F&F&T&T&F\ T&F&F&T&F&T\F&T&T&F&T&F\F&T&T&F&F&T\F&T&F&T&T&F\F&T&F&T&F&T\\hline\end{array}$$

unklerhaukus · Answer

$$\begin{array}{|c|c|c|c|c|c|}\hline p&\neg p& q&\neg q&r&\neg r&p\iff q&\neg p\iff \neg q\\hline T&F&T&F&T&F\T&F&T&F&F&T\T&F&F&T&T&F\ T&F&F&T&F&T\F&T&T&F&T&F\F&T&T&F&F&T\F&T&F&T&T&F\F&T&F&T&F&T\\hline\end{array}$$...

to continue i need to know which has hight precedence in operation?   $\oplus,\lor$ ?