Solved Example of XOR Gate

Find a single number from a series of numbers given that every element appears twice except for that one single element.

Solution: We know that XOR of two same bits gives ‘0’ so here we can observe that if we XOR the elements then every elements which are occurring twice will become ‘0’ and only remaining element would be our answer.

Like out of [7,2,2,3,3,4,4,5,5,6,6]

If we XOR each of the above elements then elements occurring even number of times will give ‘0’ and elements occurring odd number of times will give the output. Ultimately we will get 7 as output as only this element is occurring once only and rest other elements are occurring even number of times.

XOR Gate

The XOR or Exclusive OR Gate is a special type of logic gate used in digital electronics to perform the exclusive OR operation. The XOR gate takes two inputs and produces an output depending on the combination of the two inputs applied.

In, this article will explain the complete theory of the XOR gate along with its truth table, Boolean expression, logic symbol, circuit diagram, and more.

Table of Content

  • What is XOR Gate?
  • Construction of XOR Gate Using Transistor
  • Solved Example of XOR Gate
  • Applications of XOR Gate
  • Advantages and Disadvantages

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What is XOR Gate?

In digital electronics, there is a logic circuit called XOR Gate that takes two inputs and produces an output which is the result of the exclusive OR operation performed on the combination of inputs. This logic gate produces a high or logic 1 output when both of the inputs are dissimilar, otherwise, it produces a logic 0 output....

Symbol of XOR Gate

The logic symbol of XOR gate is shown in the following figure. In this figure, the variables A and B represent the input lines and A’B + AB’ is the output of the XOR gate....

Truth Table of XOR Gate

The truth table of an XOR gate is given below. This table shows the relationship between inputs and output of the XOR gate. This also provides information about the operation of XOR gate for different input combinations....

Construction of XOR Gate Using Transistor

We can implement exclusive OR gate using transistor. Here is the circuit showing the connection of different circuit elements that are combined to implement the XOR operation....

Applications of XOR Gate

Here are some of the applications of the XOR Gate:...

Advantages and Disadvantages of XOR Gate

Here are some list of Advantages and Disadvantages of XOR Gate given below :...

Solved Example of XOR Gate

Find a single number from a series of numbers given that every element appears twice except for that one single element....

Conclusion

In this article we have learnt about the XOR gate. XOR Gate takes Boolean values as input and returns ‘1’, if the number of logical high input is odd and returns 0, if number of logical high input is even....

XOR Gate – FAQs

Is XOR gate universal logic gate?...