XNOR Gate is a logic gate that performs the Boolean operation of exclusive NOR or EXNOR. The output of an XNOR gate is 1 only when both inputs match, otherwise the output is 0. It is primarily used in digital circuit design and in computer memory design.
In this blog post, we will take a look at the circuit diagram of an XNOR gate using NAND gates only. It is important to understand how NAND gates work before we dive into the details of the XNOR gate circuit.
A NAND gate is a logic gate that implements the logic function “Not And”, meaning it produces an output that is the inverse of the AND function. The truth table for a NAND gate is shown below.
| Input A | Input B | Output |
|--------|---------|-------|
| 0 | 0 | 1 |
| 0 | 1 | 1 |
| 1 | 0 | 1 |
| 1 | 1 | 0 |
By combining two NAND gates together in a particular way, we can create an inverter and an XNOR gate. The inverter is the basic building block of the XNOR gate. The circuit diagram for an XNOR gate using two NAND gates is shown below.
The first NAND gate at the top of the diagram is the inverter, while the second one, at the bottom, is the XNOR gate. To demonstrate how this circuit works, let's consider an example: if we give inputs A and B as 1, what would be the output?
To get the answer, we must first look at the inverter and see what it does with the inputs A and B. In this case, the output of the inverter will be 0 since both inputs are 1, according to the truth table for a NAND gate. This will then go to the input of the bottom NAND gate and the output of this gate will be 1, since only one input is 1.
Therefore, by combining two NAND gates in this particular way, we are able to create an XNOR gate. This same technique can be used to create other logic gates such as AND, OR, NOT, and NAND as well.
In summary, and XNOR gate can be built using only two NAND gates by combining them in a certain manner. The output of the XNOR gate is 1 only when both inputs match, otherwise the output is 0. Understanding how to combine NAND gates to form other logic gates is an essential part of digital circuit design and can help you better understand how computers work.
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