Before filling out a column in a truth table you must determine two things. The first thing is what the new operation appears in the heading of the column you want to fill out. This tells you which logical operation you will use to find the T$\text{'}$s and F$\text{'}$s in the column you are filling out. The other thing is what statements are the inputs for this new operation. This tells you which columns you will go back to when finding the T$\text{'}$s and F$\text{'}$s to use as inputs for the logical operation.

Look over the truth table below. Notice that the last two columns are still blank.

$\backslash$table$[[p,q,q,p^{{?}^{?}}q,(p^{{?}^{?}}q)vvq$