Define truth table.
A table used to determine the truth values of logical expressions based on their variables.
True or false: A truth table can represent any logical operation.
TRUE
Truth tables are fundamental in logic, showing all possible truth values.
What does a truth table show?
It shows the output of logical operations for every combination of input values.
Fill in the blank: A logical operator can be ______, AND, or NOT.
OR
What is the output of AND when both inputs are true?
True
What is the output of OR when both inputs are false?
False
Define negation in logic.
Negation is the logical operation that inverts the truth value of a statement.
True or false: The output of NOT true is true.
FALSE
NOT true results in false.
What is the truth value of a statement?
It is either true or false.
Fill in the blank: The implication operator is often represented as ______.
→
What does a truth table for two variables consist of?
Four rows representing all combinations of truth values for the variables.
True or false: A tautology is a statement that is always false.
FALSE
A tautology is always true regardless of the truth values of its components.
Define contradiction in logic.
A contradiction is a statement that is always false, regardless of the truth values.
What does the biconditional operator represent?
It indicates that both statements are either true or false together.
Which two numbers go in a truth table?
0 and 1
