Why NAND & NOR Gates are Necessary for LATCH Circuits

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SUMMARY

NAND and NOR gates are essential for constructing LATCH circuits due to their ability to implement fundamental boolean operations. While it is theoretically possible to create LATCH circuits using other logic gates, such as AND and OR, the inherent need for inverters makes NAND and NOR the most efficient choice. The discussion emphasizes that all combinatorial logic can be derived from these gates, making them the preferred building blocks in integrated circuits (ICs). This efficiency is crucial for performance in digital circuit design.

PREREQUISITES
  • Understanding of basic boolean operations: AND, OR, NOT
  • Familiarity with digital circuit design principles
  • Knowledge of integrated circuit (IC) construction
  • Experience with logic gate functionality and implementation
NEXT STEPS
  • Research the design and implementation of LATCH circuits using NAND and NOR gates
  • Explore the role of inverters in digital logic design
  • Study the performance differences between NAND, NOR, and other logic gates
  • Learn about integrated circuit (IC) design techniques for optimizing circuit efficiency
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Electronics engineers, digital circuit designers, students studying logic design, and anyone interested in understanding the fundamentals of LATCH circuits and their construction using NAND and NOR gates.

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TL;DR
why NAND AND NOR gates alone are used to form a LATCH circuit
Why we cannot make a LATCH circuit with logic gates other than NAND and NOR gates.?
 
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Avanthica said:
TL;DR Summary: why NAND AND NOR gates alone are used to form a LATCH circuit

Why we cannot make a LATCH circuit with logic gates other than NAND and NOR gates.?
I think you can. However, recognize that all combinatorial logic can be (in fact often are) constructed from NAND and NOR gates. The fundamental boolean operations are AND, OR, and INVERT (or NOT), everything can be constructed from these. For technical reasons, it is usually easier to just make NAND and NOR gates as the basis for all higher complexity digital circuits in ICs.
 
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Avanthica said:
Why we cannot make a LATCH circuit with logic gates other than NAND and NOR gates.?
Because you need an inverter somewhere in a latch. Try to design a latch without a NOT gate and see what happens.

A transistor with gain is inherently an inverter. To make an AND gate, you must build a NAND gate, then invert the output with a NOT. AND is therefore slower than NAND.
 
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