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Logic Gates Class 12 Notes | EduRev

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Class 12 : Logic Gates Class 12 Notes | EduRev

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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.

Logic Gates Class 12 Notes | EduRev

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

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

Logic Gates Class 12 Notes | EduRev

Boolean expression Y = A . B (Y equals A AND B)

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

Logic Gates Class 12 Notes | EduRev

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.

Logic Gates Class 12 Notes | EduRev

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.

Logic Gates Class 12 Notes | EduRev

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.
  1. A + B = B+ A
  2. A· B = B· A
  3. A + (B + C) = (A + B) + C
  • Demorgan’s theorems
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