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

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SUMMARY

The function f(w1,w2,w3) = Ʃm(0,1,2,4,7) can be effectively implemented using a 3-to-8 binary decoder combined with an OR gate. This implementation leverages the decoder's ability to activate specific outputs based on the input combinations, allowing for the simplification of circuit design by eliminating the need for AND gates. The discussion highlights the importance of understanding binary decoders and multiplexers (MUX) in digital circuit design, particularly in minimizing logical expressions.

PREREQUISITES
  • Understanding of 3-to-8 binary decoders
  • Knowledge of OR gates in digital circuits
  • Familiarity with logical expressions and minimization techniques
  • Basic concepts of multiplexers (MUX)
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  • Study the operation of 3-to-8 binary decoders in detail
  • Learn about the implementation of multiplexers (MUX) using decoders
  • Explore techniques for minimizing logical expressions in digital circuits
  • Review practical examples of circuit design using OR gates and decoders
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Electrical engineers, digital circuit designers, and students studying digital logic who seek to understand the implementation of functions using binary decoders and OR gates.

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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