Boolean AlgebraElectrical Engineering

The Exclusive-OR Gate (EX-OR)

A basic EX-OR gate is a two input single output logic gate, whose output is assumed to be HIGH only when one and only one of its inputs is HIGH. The logic symbol and the truth table for a two input EX-OR gate are,

Logical Expression

  • Practically three or more input EX-OR gate does not exist. But when more than two variables are EX-ORed, a number of two input EX-OR gate is used. Where, the output is assumed to be ‘1’ when odd number of input variables are ‘1’.
  • That is why, EX-OR gate is known as odd number of 1’s detector in the input.
  • The most important application of EX-OR gate is in “parity generation and detection”.
  • It is also known as “stair case switch”
  • The switching circuit of EX-OR gate is

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