Creating a Truth Table: Step-by-Step Guide

[joemama69]

Homework Statement

I'm confused on how to set up the columns of a truth table. Is there a rule for doing this. ex) (P->(~RvQ))^R would you break it into smaller pieces P,Q,R then start inside and work out so next it would be (~RvQ) then (P->(~RvQ) and then (P->(~RvQ))^R

Homework Equations

The Attempt at a Solution

 

[Mark44]

Homework Statement

I'm confused on how to set up the columns of a truth table. Is there a rule for doing this. ex) (P->(~RvQ))^R would you break it into smaller pieces P,Q,R then start inside and work out so next it would be (~RvQ) then (P->(~RvQ) and then (P->(~RvQ))^R

Homework Equations

The Attempt at a Solution

You need one column for each variable, and then columns for the other expressions you need to evaluate. It wouldn't hurt to have separate columns for (~RvQ), (P->(~RvQ), and (P->(~RvQ))^R.

Since you have three variables, P, Q, and R, you need eight rows.