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A logic gate is a device that serves as a foundation for digital circuits. They carry out basic logical tasks that are essential in digital circuitry. Logic gates are found in the majority of electrical gadgets we use today.
Logic gates in circuits are judged on a mix of radio signals from their interfaces. The majority of logic gates have 2 inputs and 1 output. Boolean algebra is the base of logic gates. Every extreme is in 1 of 2 bipartite states at one instance: true or false. True denotes one, and false means zero. The bipartite output will change relying on the kind of gate utilized and the mix of interfaces.
A logic gate can be contrasted to a switch in which the output is off in a position, zero, and on in another one. Logic gates have been often seen in an integrated circuit.
There are mainly seven logic gates named as AND, NOT, OR, XOR, NAND, XNOR, and NOR
NOR Gate
The NOR gate is also known as the Negated OR gate. NOT OR is a pair of NOT and OR gates connected in series. The Negated OR gate is one of the universal logic gates since the universal gates may perform any other fundamental operation. As a result, the combination of NOR and NAND gates can result in AND, OR, and NOT gates.
When both sources are at logic LOW, the output is LOW. When any input is at logic LOW, the output is LOW. Only when both inputs are LOW is the output HIGH.
The Boolean expression of NOR Gate is as follows:
X = (A + B)’
Where A and B are the inputs and X is the output. NOR logic gates can be obtained by taking sum of all inputs and finishing the desired result
Types of NOR Gate
2 Input NOR Gate
The gate receives two inputs and outputs a single output in this case, which is the fundamental form of a NOR gate. In this case, the total number of potential input combinations is four. The truth table is as follows:
A | B | X |
0 | 0 | 0 |
0 | 1 | 0 |
1 | 0 | 1 |
1 | 1 | 0 |
3 Input NOR Gate
In this case, the gate receives three inputs and outputs a single output. In this case, the total number of potential input combinations is 8. Any number of unique inputs can be combined to make this 3 Input NOR logic gate. The truth table is as follows:
The Boolean Expression of this is: Y = (A+B+C)’
A | B | C | Y |
0 | 0 | 0 | 1 |
0 | 0 | 1 | 0 |
0 | 1 | 0 | 0 |
0 | 1 | 1 | 0 |
1 | 0 | 0 | 0 |
1 | 0 | 1 | 0 |
1 | 1 | 0 | 0 |
1 | 1 | 1 | 0 |
Multi Input NOR Gate
An n-input NOR-gate may be built in the same way as multi-input OR and AND gates can. When there are an odd number of inputs, the unused input signal is maintained LOW by connecting it to the dc power through pull-up resistors.
Boolean Expression is as follows: Y = ((A+B) +(C+D))’
The truth table 4 input NOR is given below:
A | B | C | D | Y |
0 | 0 | 0 | 0 | 1 |
0 | 0 | 0 | 1 | 0 |
0 | 0 | 1 | 0 | 0 |
0 | 0 | 1 | 1 | 0 |
0 | 1 | 0 | 0 | 0 |
0 | 1 | 0 | 1 | 0 |
0 | 1 | 1 | 0 | 0 |
0 | 1 | 1 | 1 | 0 |
1 | 0 | 0 | 0 | 0 |
1 | 0 | 0 | 1 | 0 |
1 | 0 | 1 | 0 | 0 |
1 | 0 | 1 | 1 | 0 |
1 | 1 | 0 | 0 | 0 |
1 | 1 | 0 | 1 | 0 |
1 | 1 | 1 | 0 | 0 |
1 | 1 | 1 | 1 | 0 |
Uses of NOR Gate
The NOR Gate is utilized in circuits where numerous power sources can unpower the same object, such as three buttons positioned around a home that, when pressed, trigger a piston to open the entryway. The use of an Inverter in conjunction with an OR Gate is no longer required when employing a NOR Gate. It will provide the same result; but the NOR Gate has the benefit of taking up less space, using less material, and being less difficult.
Conclusion
As a result, with a NOR gate, all of the inputs must be low in order to produce a high output; for example, if all inputs A and B are 0, the output will be 1. If either of the inputs is high, the gate’s output will be low, or 0. If both inputs are high, the output will also be low, i.e., 0. So, this was all about the NOR Gate, I hope this helps you in a positive manner.
