Making a circuit from a given data

[Vyts]

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?

 

[berkeman]

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?

 

[Vyts]

Yes, I have. That boolean function was made from the map.

 

[berkeman]

Yes, I have. That boolean function was made from the map.

Well then it's probably already optimized, no?