Question

How can I construct a table for this q ∧ ∼p

Answer 1

`\begin{array}{cccc}p&q&\sim p&q\wedge \sim p\\T&T&F&F\\T&F&F&F\\F&T&T&T\\F&F&T&F\end{array}`

Explanation:

Each of the statemnts p and q can be true (T) or false (F). So, there are 4 different possibilites for these two statements

`\begin{array}{cc}p&q\\T&T\\T&F\\F&T\\F&F\end{array}`

Now, fill in the logic table for the statement
`q\wedge \sim p`

`\begin{array}{cccc}p&q&\sim p&q\wedge \sim p\\T&T&F&F\\T&F&F&F\\F&T&T&T\\F&F&T&F\end{array}`