Logical Not Returns true (1) if the value is false, false (0) if the value is true. Biconditional This button performs a logical biconditional statement (p if and only if q). Conditional This button performs a logical conditional statement (if p then q). Logical Exclusive Or Returns true (1) if the either value (but not both) is true, false (0) otherwise. Logical Or Returns true (1) if the either value is true, false (0) if both are false. Logical And Returns true (1) if the two values are both true, false (0) if not.