Construct a truth table for the given statement.

G

Guest

Guest
I dont know where to start please help... :?



Construct a truth table for the given statement.


~ p? (q ? ~ r)

r? (~ p ? q)
 
Hello, Magical_Star!

I dont know where to start please help...
Click to expand...

You've never ever made a truth table?

Construct a truth table for the given statement.

. . \(\displaystyle \sim\!p\:\to\:(q \,\wedge \sim\!r)\)
Click to expand...

. . \(\displaystyle \begin{array}{|c|c|c||c|c|c|c|c|} p & q & r & \sim\!p & \to & (q & \wedge & \sim\!r) \\ \hline T&T&T & F&T&T&F&F \\T&T&F & F&T&T&T&T \\ T&F&T & F&T&F&F&F \\ T&F&F & F&T&F&F&T \\ F&T&T & T&F&T&F&F \\ F&T&F & T&T&T&T&T \\ F&F&T & T&F&F&F&F \\ F&F&F & T&F&F&F&T \\ \hline & & & _1 & _3 & _1 & _2 & _1 \end{array}\)



\(\displaystyle r \:\leftrightarrow \:(\sim\!p \wedge\,q)\)
Click to expand...

. . \(\displaystyle \begin{array}{|c|c|c|| c|c|c|c|c|} p&q&r & r & \leftrightarrow & (\sim\!p & \wedge & q) \\ \hline T&T&T & T&F&F&F&T \\ T&T&F & F&T&F&F&T \\ T&F&T & T&F&F&F&F \\ T&F&F & F&T&F&F&F \\ F&T&T & T&T&T&T&T \\ F&T&F & F&F&T&T&T \\ F&F&T & T&F&T&F&F \\ F&F&F & F&T&T&F&F \\ \hline & & & _1 & _3 & _1 & _2 & _1 \end{array}\)

 
You must log in or register to reply here.
Top