Implementing f(w1,w2,w3) Using 3-to-8 Binary Decoder & OR Gate

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Discussion Overview

The discussion revolves around implementing the function f(w1,w2,w3) = Ʃm(0,1,2,4,7) using a 3-to-8 binary decoder and an OR gate. Participants explore the concepts of binary decoders and multiplexers (MUX), along with the mathematical reasoning behind the implementation.

Discussion Character

  • Exploratory
  • Technical explanation
  • Homework-related

Main Points Raised

  • One participant requests assistance in implementing the function using a binary decoder and OR gate, expressing confusion about the concepts involved.
  • Another participant indicates a lack of knowledge regarding circuits and suggests that further definitions of binary decoders and MUX are necessary for meaningful assistance.
  • A participant shares a link to potential solutions and asks for clarification on specific parts of the solutions, particularly regarding the notation used.
  • One participant claims to have figured out how to obtain the function's output but expresses uncertainty about the derivation of that output.
  • A later post raises a question about minimizing a specific logical expression, indicating ongoing exploration of the topic.

Areas of Agreement / Disagreement

Participants do not appear to reach a consensus, as there are multiple competing views and ongoing questions regarding the implementation and understanding of the concepts involved.

Contextual Notes

Participants mention the need for definitions and explanations of binary decoders and MUX, suggesting that there may be missing assumptions or dependencies on specific definitions that are not fully addressed in the discussion.

Who May Find This Useful

Individuals interested in digital circuit design, specifically those looking to understand the implementation of functions using binary decoders and OR gates, may find this discussion relevant.

shamieh
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Show how the function f(w1,w2,w3,) = Ʃm(0,1,2,4,7) can be implemented using a 3-to-8 binary decoder and an OR gate (hint: look at MUX built using a decoder and figure out how to remove the and gates.

Um. Yea. Help.(Speechless)
 
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Well, you've got beyond my personal knowledge of circuits. If there is somebody more knowledgeable on this forum, fine. Otherwise, I am afraid I can't help you with definitions. If you want help, you'll have to provide definitions of new concepts (in this case: binary decoder and MUX) and briefly explain what kind of beast they are. Then I can only help with common mathematical sense.
 
Ok I will see what I can do.
 
so I figured out how to get the function or the output. But Now I don't know hwo they are getting the outupt

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how would i minimize w!w3! + w2w3! + w1!w2
 

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