Boolean logic is a branch of mathematics that deals with binary variables, which can have only two possible values: 0 (False) and 1 (True). It forms the foundation of digital electronics, computer logic, and programming conditions. Boolean logic uses logical operations such as AND, OR, and NOT to manipulate and evaluate expressions.

Basic Boolean Operations

1. NOT Operation: Reverses the value of a Boolean variable. If A = 1, then NOT A = 0. If A = 0, then NOT A = 1.

2. AND Operation: Returns True only if both inputs are True. If A = True and B = True, then A AND B = True. Otherwise, A AND B = False.

3. OR Operation: Returns True if at least one input is True. If A = True or B = True, then A OR B = True. If both are False, then A OR B = False.

4. XOR Operation: Returns True if exactly one input is True.

5. NAND Operation: Returns False only if both inputs are True.

6. NOR Operation: Returns True only if both inputs are False.

7. XNOR Operation: Returns True if both inputs are equal.