Truth tables are a tool used in logic, mathematics, and computer science to systematically show the truth values of logical expressions for all possible combinations of inputs.
🔹 What They Do:
They show how the output of a logical statement (like a proposition or Boolean expression) depends on its inputs.
🔹 Basic Example:
Let’s say you have two logical variables:
AandB, each of which can be eitherTrue (T)orFalse (F).
And you want to evaluate the expression:
A AND B (written as A ∧ B)
Truth Table for A ∧ B:
| A | B | A ∧ B |
|---|---|---|
| T | T | T |
| T | F | F |
| F | T | F |
| F | F | F |