Let X=1 represents "you work hard" and 0 otherwise.
Let Y=1 represents "you succeed" and 0 otherwise.
Using the information given above, construct:
(i) the truth table and
(ii) the logical expression for the following statement:
"If and only if you work hard you succeed".

Draw the truth table to prove the following proportional expression:

a ⇒ b = (a ⇒ b) . (b ⇒ a)

Differentiate between a tautology and a contradiction.

Using the truth table verify the expression

(~P ⇒ Q) ^ P = (P ^ ~Q) v (P ^ Q)