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Logic Gates explained with calculators's banner
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Logic Gates explained with calculators

Introduction

Logic gates are fundamental building blocks in digital electronics that perform basic logical operations on binary inputs to produce binary outputs. They are widely used in various electronic devices and computer systems. Understanding how logic gates work and how to calculate their outputs is crucial for designing and analyzing digital circuits.
How logic gates work


Explanation

There are several fundamental logic gates. Here's a list explaining them all and with tools to test them out!

AND Gate

The AND gate takes two or more inputs and produces an output that is high (1) only when all inputs are high.
The output (Y) of an AND gate can be calculated using the Boolean expression:

Y=A∗B∗C∗...Y = A * B * C * ...
Try using our calculator to test it out!
Inputs


Input A
:1.00​



Input B
:1.00​

Output


Output Q
:1.00​

AND gate technical symbol

Try using more than two inputs!
Inputs


Input A1
:1.00​



Input B1
:1.00​



Input C1
:0.00​

Output


Output Q1
:0.00​


OR Gate

  1. The OR gate takes two or more inputs and produces an output that is high (1) when any of the inputs is high.
  2. The output (Y) of an OR gate can be calculated using the Boolean expression:

Y=A+B+C+...Y = A + B + C + ...
Try changing the input parameters to find the result!
Inputs


Input A2
:1.00​



Input B2
:0.00​

Output


Output Q2
:1.00​

OR gate technical symbol

Now try with multiple inputs!
Inputs


Input A3
:1.00​



Input B3
:1.00​



Input C3
:1.00​



Input D3
:0.00​

Output


Output Q3
:1.00​


NOT Gate

NAND Gate

NOR Gate

XOR Gate

Logic circuit


Conclusion

Logic gates are essential components in digital electronics, enabling the manipulation and processing of binary data. By understanding the behavior and calculations of logic gates, you can design and analyze complex digital circuits.
This calculation template provides an overview of the basic logic gates, including AND, OR, NOT, NAND, NOR, and XOR gates, along with their corresponding Boolean expressions for calculating the output. With this knowledge, you can now apply logic gates effectively in your digital circuit designs.

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Additional Resources

If you liked this, check out our other articles and resources!
  1. Check out our library of templates here!
  2. Applications of Fourier Series in Signal Processing and Engineering
  3. Matrix Algebra and its application in Engineering and Physics