Question

Write down truth table, Boolean expression, application and symbol of OR gate, XNOR gate, and NAND gate. ​

Answer 1

Answer:

The fundamental components of a digital circuit are logic gates, which carry out a variety of logical operations required by any given digital circuit.

Explanation:

To perform logical operations on one or more binary inputs and produce a single binary output, logic gates are utilized. Simply words, the electronic circuits of a digital system are known as logic gates.

OR gate

• An OR gate can have one output and two or more inputs.
• The logic of this gate states that when at least one of the inputs is 1, the output will be 1.
• The output of the OR gate will be determined by the following mathematical process if there are two inputs, A and B:
• Y=A+B
• An OR gate's symbol and truth table are mentioned below.

XNOR gate

• Digital logic gate known as the Exclusive-NOR, sometimes known as the "EX-NOR" gate, has more than two inputs but only one output.
• If both inputs are high or low, respectively, the output of the XNOR gate is "High. If any of the inputs is "Low," the output will also be "Low.
• The XNOR gate's Boolean equation is: Y=A⋅B+A¯B¯ if it has two inputs, A and B.
• An XNOR gate's symbol and truth table are mention below

NAND gate. ​

• The combination of a Not gate and an AND gate is known as a NAND or "NOT-AND" gate.
• This gate only has a 1 output when all inputs are NOT 1. Or the output is high if at least one of the inputs is low and none of the inputs are high.
• The Boolean statement for the NAND gate is Y=A.B/Bar if there are two inputs A and B.
• A NAND gate's symbol and truth table are mentioned below:

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