Truth tables

Front

What is a truth table?

Back

A truth table is a mathematical table used to determine the truth values of logical expressions based on their inputs.

Front

What does the symbol ∧ represent in logic?

Back

The symbol ∧ represents the logical operation 'AND', which is true only if both operands are true.

Tags

CCSS.7.SP.C.8B

Front

What does the symbol ∨ represent in logic?

Back

The symbol ∨ represents the logical operation 'OR', which is true if at least one of the operands is true.

Tags

CCSS.HSS.CP.B.7

Front

What does the symbol ¬ represent in logic?

Back

The symbol ¬ represents the logical operation 'NOT', which inverts the truth value of the operand.

Tags

CCSS.HSS.CP.A.1

Front

What is the result of the AND operation when one operand is false?

Back

The result is false, regardless of the truth value of the other operand.

Tags

CCSS.HSS.MD.A.2

Front

What is the result of the OR operation when both operands are false?

Back

The result is false.

Front

How many rows are in a truth table for two variables?

Back

There are 4 rows in a truth table for two variables (2^2 = 4).

Front

What is a logical implication?

Back

A logical implication is a statement of the form 'if P, then Q', which is false only when P is true and Q is false.

Tags

CCSS.HSS.CP.A.3

CCSS.HSS.CP.A.5

Front

What is the difference between conjunction and disjunction?

Back

Conjunction (AND) requires both statements to be true, while disjunction (OR) requires at least one statement to be true.

Tags

CCSS.L.11-12.6

CCSS.L.8.6

CCSS.L.9-10.6

CCSS.W.11-12.2D

CCSS.W.9-10.2D

Front

How do you determine the truth value of a compound statement?

Back

You evaluate the truth values of its components and apply the logical operations according to the rules of logic.