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Logic Gates

Logic gate:

  • Block of hardware’s, on getting input they produce output 0 or 1.
  • Input for logic gates are either 0 or 1.
  • Output for logic gates are either 0 or 1.
  • Each logic gate has its symbol.
  • Operations of logic gate are represented by algebraic expressions.

Names of logic gates:

  1. AND logic gate
  2. OR logic gate
  3. NOT logic gate
  4. XOR logic gate
  5. NAND logic gate
  6. NOR logic gate
  7. XNOR logic gate

Logic gate operations:

Input variables : A, B Output variable : OP

  1. AND : OP = A.B
  2. OR : OP = A+B
  3. NOT : OP = A’
  4. XOR : Exclusive OR : OP = A’B+AB’ = A  B
  5. NAND : NOT AND : OP = (AB)’
  6. NOR : NOT OR : OP = (A+B)’
  7. XNOR : Exclusive NOR : OP = A’B’+AB = (A     B)’

Logic gate symbols:

Truth Table: 

Table shows relationship between input and output variables in logic gates.