Engineering Making a circuit from a given data

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The discussion revolves around creating a circuit using OR, AND, and Multiplexer elements from a given function with six variables. The user expresses difficulty in managing the complexity of the function f(9, 10, 11, 13, 14, 15, 22, 41, 42, 43, 46, 49, 50, 51, 54, 61, 62, 63) and shares their attempts using OR gates. They inquire about the possibility of minimizing their current circuit design. Participants confirm that a Karnaugh map (K-map) has been utilized for optimization, suggesting that the function may already be in its simplest form. The conversation highlights the challenges of circuit design with multiple variables and the importance of optimization techniques.
Vyts
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Hi,
I have a function from which I need to make a circuits with 3 different types of elements: OR, AND and Multiplexer. I have tried doing something, it looks quite easy when working with 2 or 3 variables, but I don't know how to work with 6 and it starts giving me a headache...
1. f(9, 10, 11, 13, 14, 15, 22, 41, 42, 43, 46, 49, 50, 51, 54, 61, 62, 63)
3. I have done this with OR gates: /x1/x2x3/x4x6 + /x1/x2x3x5 + /x1/x2x3x4x6 + x1x2/x3/x4x6 + x1/x2x3/x4x6 + x1x2/x3x5/x6 + x1/x2x3x5/x6 + x2/x3x4x5/x6 + x1x3x4x5/x6 + x1x2x3x4x6
Would it be possible to minimize this somehow?
 
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Vyts said:
Hi,
I have a function from which I need to make a circuits with 3 different types of elements: OR, AND and Multiplexer. I have tried doing something, it looks quite easy when working with 2 or 3 variables, but I don't know how to work with 6 and it starts giving me a headache...
1. f(9, 10, 11, 13, 14, 15, 22, 41, 42, 43, 46, 49, 50, 51, 54, 61, 62, 63)
3. I have done this with OR gates: /x1/x2x3/x4x6 + /x1/x2x3x5 + /x1/x2x3x4x6 + x1x2/x3/x4x6 + x1/x2x3/x4x6 + x1x2/x3x5/x6 + x1/x2x3x5/x6 + x2/x3x4x5/x6 + x1x3x4x5/x6 + x1x2x3x4x6
Would it be possible to minimize this somehow?

Have you drawn a K-map?
 
Yes, I have. That boolean function was made from the map.
 
Vyts said:
Yes, I have. That boolean function was made from the map.

Well then it's probably already optimized, no?
 

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