Implementation of OR Gate from NAND Gate
Last Updated : 25 Apr, 2024
Logic gates are an essential component of digital electronics and are used to handle binary data. Because of its universal nature, the NAND gate is particularly significant among these gates. This article explores the use of NAND gates to implement an OR gate, demonstrating the adaptability and usefulness of these fundamental building blocks.
In this Article, We will be going through the implementation of the OR Gate from the NAND Gate, First We will start our article with the introduction of the OR gate and NAND gate with their Expressions, Logic Diagrams, and Truth Table, Then we will See How We Can Implement OR Gate from NAND Gate, At last, we will conclude our Article with some FAQs.
What is an OR Gate?
A basic logic gate known as an OR gate generates an output signal whenever at least one of its inputs is high. The OR gate is symbolically represented as "+" or "1". Its truth table indicates that if any input is high, it will output a high signal (1); otherwise, it will produce a low signal (0).
Inputs and outputs in OR Gate
- Input: Input of OR gate is the binary signal that user provides to its input terminals so that it will execute logical operations and it can provide the output.
- Output: Output of OR gate is the final result that has done after performing logical operations on its inputs. It indicates high i.e. (1) or low i.e. (0). After an operation a single output is provided.
OR Gate
Logical Expression of OR Gate
The output expression of the OR gate is provided by, if Y is the output variable and A and B are the input variables.
Y = A + B
where the OR operation is denoted by the '+' symbol. It reads as follows: Y equals to A OR B.
What is a NAND Gate?
One of the universal logic gate is the NAND gate, which only generates an output signal when each and every one of its inputs is low. With its symbol "⊼", the truth table of the NAND gate shows that it outputs a high signal (1) in the absence of a low signal (0) when all inputs are high.
Inputs and outputs in NAND Gate
As input NAND Gate takes boolean values and returns:
- It returns logic (1), if all the inputs are 0 or different (it means one is 0, and the other is 1 or vice versa).
- It returns logic (0), if all inputs are 1
Equation of NAND Gate
The NAND gate's output is determined by, if A, B, and Y are its input and output variables, respectively.
Y=\overline{A.B}
NAND Gate
Implementation of OR Gate from NAND Gate
The Implementation of OR Gate from NAND Gate is executed by using De Morgan's theorem, which asserts that the complement of the AND operation is equivalent to the NAND operation, so that it can be used to construct an OR gate by using NAND gates. So that We can effectively execute the functionality of an OR gate by combining numerous NAND gates in a particular arrangement. So that we can implement an OR Gate by using NAND Gates.
Implementation of OR Gate from NAND GateTo realize the OR gate from NAND gate, we first complement the inputs A and B. This is done by the NAND Gate in the above Figure. Then, these complemented inputs, i.e. A' and B' are applied to a NAND Gate. Thus, we get,
Y=(\overline{\overline{A}.\overline{B}}) = A+B
Conclusion
In conclusion, the versatility and applicability of logic gates in digital circuit design are demonstrated by the construction of an OR gate using NAND gates. It is essential to comprehend basic gate manipulation in order to design dependable and effective electronic systems. We can learn a great deal about the fundamentals of digital logic design by investigating the construction of an OR gate from NAND gates. This also opens up new avenues for research into more complex circuitry.