practice problems for truth tables

Instead of columns running left to right, it's easier in this text editor to make a truth table that is put together in rows going from top to bottom

Here is an example: Create the truth table for (p OR q) IMPLIES q.

p__________________ T T F F
q__________________ T F T F
p OR q_____________ T T T F
(p OR q) IMPLIES q_ T F T T

Not a tautology, because of the F in the second position.

Try the following.

a) (p IMPLIES q) OR (p IMPLIES NOT q)

b) (NOT p) IMPLIES (p IMPLIES q)

Answers in the comments.