I used a KMAP and got this as my expression


\(f = !y_{1}!y_{0} + !x_{1}x_{0}!y_{1} + x_{1}!y_{1} + x_{1}!y_{0} + x_{1}x_{0}y_{1}\)

Is there any way I can minimize this? Maybe I'm just not seeing it. I thought the whole point of a KMAP was to minimize the expression?

Some how the answer is this: \( f = x_{1}x_{0} + !y_{1}!y_{0} + x_{1}!y_{0} + x_{0}!y_{1} + x_{1}!y_{1}\)

If anyone is interested I had to design a circuit with output f with 4 inputs. I'm supposed to be showing the simplest sum of product expression for f. My f row for my truth table was this:
1
0
0
0

1
1
0
0

1
1
1
0

1
1
1
1


Thanks in advance

 

Or perhaps my answer is equivalent to that? I'm just really confused, because I know for a FACT I did my K-MAP right.

 

I would like to see the information presented in complete and organized manner.

Starting with truth table.

 

I used a KMAP and got this as my expression


\(f = !y_{1}!y_{0} + !x_{1}x_{0}!y_{1} + x_{1}!y_{1} + x_{1}!y_{0} + x_{1}x_{0}y_{1}\)

Is there any way I can minimize this? Maybe I'm just not seeing it. I thought the whole point of a KMAP was to minimize the expression?

Some how the answer is this: \( f = x_{1}x_{0} + !y_{1}!y_{0} + x_{1}!y_{0} + x_{0}!y_{1} + x_{1}!y_{1}\)

If anyone is interested I had to design a circuit with output f with 4 inputs. I'm supposed to be showing the simplest sum of product expression for f. My f row for my truth table was this:
1
0
0
0

1
1
0
0

1
1
1
0

1
1
1
1


Thanks in advance

We are not mind readers. Your list of output values is meaningless unless we know what combination of inputs corresponds to each row. I suppose we could just guess and work our way through all of the possibilities. After all, how bad can it be since there only a bit over 50 of them -- for every man, woman, and child on the planet!

On second thought, I think I will choose not to try to guess at what you meant. You can present your stuff in a clear and complete format if you want a reasonable chance at getting free help.