Implementation of XOR Gate from NAND Gate

What are Universal Gates?

The logic gates which can implement all other gates and logic is called Universal gate. There are two universal gates: NOR gate and NAND gate.

What are Fundamental Gates?

The fundamental gates are AND Gate, OR Gate, and Not Gate.

How is a NAND gate different from an AND gate?

When we inverse the output of the AND gate we get the NAND gate. The result of the AND gate will just be reversed in case of NAND gate. It is short form of NOT-AND gate.



Implementation of XOR Gate from NAND Gate

Logic Gates are the building blocks of digital circuits, taking binary values as input and returning a binary value as output after performing a logical operation. There are several kinds of gates available in Digital Electronics like basic gates, and universal gates. Implementation of the XOR gate from the NAND gate is possible because the NAND gate is a Universal gate i.e., it can implement all other gates. The NAND gate gives the output 0 if all the inputs are 1 else it gives 1 for all other cases. XOR gate is a logic gate that gives output 1 when several 1s are odd else it gives 0. In this article, we will explore the XOR gate, and NAND gate and implement the XOR gate from the NAND gate.

Table of Content

  • What is an XOR Gate?
  • What is a NAND Gate?
  • Implementation of XOR Gate from NAND Gate
  • Conclusion
  • FAQs

Similar Reads

What is an XOR Gate?

In digital electronics, the XOR (Exclusive-OR) Gate is a combination of all three fundamental or basic gates (NOT, AND and OR gates). It receives two or more than two input signals but produces only one output signal. It results in a low (0) if the input bit pattern contains an even number of high(1) signals. The output is high (1) for an odd number of high (1) signals in the input bit pattern....

What is a NAND Gate?

NAND Gate is a combination of AND and NOT Gate. In this gate, a NOT Gate is applied at the output of an AND Gate. It receives two or more than two input signals but results in only one output signal which is complement of product of all the input signals. This is the reason that a NAND Gate is also referred as complemented AND Gate or Inverted AND Gate....

Implementation of XOR Gate from NAND Gate

Expression of XOR gate: A’.B + A.B’...

Conclusion

The use of NAND Gates to achieve the logical XOR operations demonstrates the efficiency, usability and adaptability of NAND Gates in simplifying circuit design and also provides valuable insights into the fundamental principles of digital electronics. With just five NAND gates, we can construct XOR gate. This process also involves the application of De Morgan’s law to convert the expressions. It shows how a logic function can be simplified using universal gates, reducing the complexity and cost....

Implementation of XOR Gate from NAND Gate – FAQs

What are Universal Gates?...