The converse of a conditional statement is a statement that exchanges the hypothesis p and the conclusion q of the conditional. A converse statement can be written in if-then form.

This can be better understood with an example.

	Example	Symbols
Conditional	If a figure is a square_p,thenit has four sides_q.	p ⇒ q
Converse	If a figure has four sides_q,thenit is a square_p.	q ⇒ p

By considering the truth table for a conditional statement, the conditions under which its converse is true can be determined. The converse of a conditional statement is false only when the hypothesis is false and the conclusion true. In any other case, the converse of a conditional statement is always true. The explanation for each row of the truth table is similar to the explanation for each row of the truth table for conditional statements.