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What Are Three Input Logic Gates and Their Truth Tables?

August 4, 2022
by
The Organic Chemistry Tutor
YouTube video player
What Are Three Input Logic Gates and Their Truth Tables?

TL;DR

Three input logic gates are digital circuits that output based on their inputs. The AND gate outputs 1 only when all inputs are 1, the NAND gate outputs 1 unless all inputs are 1, the OR gate outputs 1 if at least one input is 1, and the NOR gate outputs 1 only when all inputs are 0.

Transcript

in this video we're going to talk about three input logic gates so the first one we're going to talk about is the three input nand gate so here's the symbol for it we'll call the three inputs a b and c and the output we'll call it q so what we're going to do right now is we're going to write up a truth table for this three input and gate so first l... Read More

Key Insights

  • 🔬 The AND gate requires all inputs to be active for an output of 1, while the NAND gate produces an output of 1 unless all inputs are active.
  • 🔬 The OR gate produces an output of 1 if any one of the inputs is active, while the NOR gate produces an output of 1 only if all inputs are inactive.
  • 🔬 The formulas for the AND and OR gates involve multiplication and addition, respectively.
  • 🔬 The NAND and NOR gates are the inverses of the AND and OR gates, respectively.

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Questions & Answers

Q: What is the purpose of a three input AND gate?

The three input AND gate requires all three inputs to be active in order to produce an output of 1. Otherwise, the output is 0.

Q: How does the three input NAND gate differ from the AND gate?

The three input NAND gate produces an output of 1 unless all three inputs are active. In other words, it is the inverse of the AND gate.

Q: What is the function of a three input OR gate?

The three input OR gate produces an output of 1 if any one of the inputs is active. It only produces an output of 0 if all inputs are inactive.

Q: How does the three input NOR gate operate?

The three input NOR gate produces an output of 1 only if all three inputs are inactive. If any one of the inputs is active, the output is 0.

Summary & Key Takeaways

  • The three input AND gate produces an output of 1 only if all three inputs are active.

  • The three input NAND gate produces an output of 1 unless all three inputs are active.

  • The three input OR gate produces an output of 1 if any one of the inputs is active.

  • The three input NOR gate produces an output of 1 only if all three inputs are inactive.


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