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Logic Gate

Bengali: লজিক গেট•Pronunciation: লজিক গেট•Symbol: \text{AND, OR, NOT, NAND, NOR, XOR, XNOR}
Standard Definition:
An idealized or physical electronic circuit implementing a Boolean function to perform logical operations on one or more binary inputs.

📐 Mathematical Equation, Units & Dimensions

Defining Mathematical Equation
YAND=A⋅B, YOR=A+B, YXOR=A⊕BY_{\text{AND}} = A \cdot B, \text{ } Y_{\text{OR}} = A + B, \text{ } Y_{\text{XOR}} = A \oplus B
Standard SI Unit
Binary logic(ইলেকট্রনিক সার্কিট)
Dimensional Analysis
[M0L0T0][M^0 L^0 T^0]
CGS Unit
None

📖 Physical Concept & Comprehensive Explanation

Logic gates are the basic building blocks of digital integrated circuits. Basic gates are AND, OR, and NOT. NAND and NOR are universal gates because any logic system can be constructed exclusively using either. XOR and XNOR facilitate arithmetic binary addition.

🎯 High-Yield Revision Points

  • ✓Basic gates: AND, OR, NOT.
  • ✓Universal gates: NAND and NOR.
  • ✓Special arithmetic gates: XOR and XNOR.

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❓ Frequently Asked Exam Questions (FAQ)

Common questions in board and competitive entrance examinations

Q1: Why are NAND and NOR called universal gates?

Because any Boolean circuit or elementary gate can be implemented solely using NAND gates or solely using NOR gates.

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