Question:

The combination of gates shown below yields

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Draw the truth table of the combination and observe the result.

Updated On: Jul 27, 2023
  • OR gate
  • NOT gate
  • XOR gate
  • NAND gate
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The Correct Option is A

Approach Solution - 1

The final boolean expression is, 
$X=\left(\overline{A. B}\right) = \overline{A + B} = A +B \Rightarrow OR $ gate

The truth table for the combination is 

ABX
000
011
101
111

Discover More from Chapter: Digital Electronics and Logic Gates

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The Correct Answer is (A)

Real Life Applications

Some real-life examples of XOR gates: 
1. It is used in digital circuits to perform logical operations such as subtraction, addition, and multiplication. 
2. It is used in cryptography to encrypt and decrypt messages. 
3. It is used to implement logical operations in computer programming.

Question can also be asked as

1. What is the logic function of the combination of gates shown below? 
2. How do the gates shown below work together? 
3. What is the output of the combination of gates shown below? 
4. What is the truth table for the combination of gates shown below?

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The Correct Answer is (A)

A logic gate is a device used to perform logical operations on one or more logic inputs and produces a single logic output.

There are primarily three types of logic gates

  • OR Gate: A logic gate that has two or more inputs with only one output when any one or more inputs are present.
  • AND Gate: This type of gate has two or more inputs with one output such that the output is available only when all inputs are available.
  • NOT Gate: The NOT gate has only one input and this input is inverted to only one output.

Truth Table

A table that contains all possible inputs and their corresponding outputs represented in a binary system i.e. 0 and 1 is called a truth table.

NAND GATE

The logic gate in which the output of the AND gate is given to the input of the NOT gate is called the NAND gate.

NOR GATE

The logic gate in which the output of the OR gate is given to the input of the NOT gate is called the NOR gate.

Related Topics
Boolean AlgebraIntegrated CircuitsElectric Circuits
Semiconductor ElectronicsSemiconductor DevicesSemiconductor Electronics MCQ
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Concepts Used:

Logic Gates

AND Gate

It is the gate, where a circuit performs an AND operation. It has n number of input where (n >= 2) and one output.

OR Gate

It is the gate, where a circuit performs an OR operation. It has n number of input where (n >= 2) and one output.

NOT Gate

An inverter is also called NOT Gate. It has one input and one output where the input is A and the output is Y.

NAND Gate

A NAND operation is also called a NOT-AND operation. It has n number of input where (n >= 2) and one output.

NOR Gate

A NOR operation is also called a NOT-OR operation. It has n number of input where (n >= 2) and one output.

XOR Gate

XOR or Ex-OR gate is a specific type of gate that can be used in the half adder, full adder, and subtractor. 

XNOR Gate

XNOR gate is a specific type of gate, which can be used in the half adder, full adder, and subtractor. The exclusive-NOR gate is flattened as an EX-NOR gate or sometimes as an X-NOR gate. It has n number of input (n >= 2) and one output.