Creating a truth table for ~q ^ p

One piece at a time?

Case
p
q
1
FALSE
FALSE
2
FALSE
TRUE
3
TRUE
FALSE
4
TRUE
TRUE

Then
Case
p
q
~q
1
FALSE
FALSE
TRUE
2
FALSE
TRUE
FALSE
3
TRUE
FALSE
TRUE
4
TRUE
TRUE
FALSE

Finally
Case
p
q
~q
~q^p
1
FALSE
FALSE
TRUE
FALSE
2
FALSE
TRUE
FALSE
FALSE
3
TRUE
FALSE
TRUE
TRUE
4
TRUE
TRUE
FALSE
FALSE

Which part of that do you find confusing?
 
Hello, geishaonna!

How do I create this table for this equation statement: \(\displaystyle \sim q\,\wedge\, p\)

The traditional truth table looks like this:

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