Determine whether the given expressions are logically equivalent. if so, use a truth table to show that the truth values for each expression are the same. Otherwise, list the input on which the expressions do not give the same output.

i. A T, A

ii. A B, (A B) B

iii. (A B) C, (A B) C

iv. (A B) (B C), ((A B)

(B C)) v. (B (C D)), (C B) (B D)