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**Logic Gate**

A digital circuit which allows a signal to pass through it, only when few logical relations are satisfied, is called a logic gate.

**Truth Table**

A table which shows all possible input and output combinations is called a truth table.

**Basic Logic Gates**

(i) OR Gate It is a two input and one output logic gate.

Boolean expression Y = A + B (Y equals A OR B)

(ii) **AND Gate** It is a two input and one output logic gate

Boolean expression Y = A ^{.} B (Y equals A AND B)

(iii) **NOT Gate** It is a one input and one output logic gate.

**Combination of Gates**

(i) **NAND Gate** When output of AND gate is applied as input to a NOT gate, then it is called a NAND gate.

Boolean expression Y = A * B (Y equals negated of A AND B)

(ii) **NOR Gate** When output of OR gate is applied as input to a NOT gate, then it is called a NOR gate.

Boolean expression Y = A + B ( Y equals negated of A OR B)

- The Boolean expression obey commutative law associative law as well as distributive law.

- A + B = B+ A
- AÂ· B = BÂ· A
- A + (B + C) = (A + B) + C

- Demorganâ€™s theorems

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