# Minimization SOP K-Map 4 input

Discussion in 'Homework Help' started by Shamieh, Feb 13, 2014.

1. ### Shamieh Thread Starter Member

Oct 24, 2013
36
1
Was wondering if someone could check my work.

q) Using KMAP write out the minimal SOP Sum of Products m(1,3,4,5,9,10,11,14,) + d(0)

My solution: w~xy + x~z + ~w~y

q2) Using KMAP write out the minimal Product of Sums equation \pi(3,4,5,7,8,12) + d(13)

My solution: (~w + ~x + y) (w + ~z) (w + x + ~y)

Thanks in advance.. You all are always very helpful.

Last edited: Feb 13, 2014
2. ### tshuck Well-Known Member

Oct 18, 2012
3,527
675
Nope, without seeing what you did, we can't verify if you did it correctly. Provide a picture of your K-maps and groupings and we can...

3. ### Shamieh Thread Starter Member

Oct 24, 2013
36
1
Oh. Sorry about that!

SOP

POS

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4. ### Shamieh Thread Starter Member

Oct 24, 2013
36
1
Any idea? I'm about 91% sure I'm correct lol.

5. ### tshuck Well-Known Member

Oct 18, 2012
3,527
675
Your expression doesn't match with the K-maps you posted, did you make the K-maps, our did you derive the function from the K-map?

Also, you should always list what the order of the variables is.

6. ### Shamieh Thread Starter Member

Oct 24, 2013
36
1
I used groupings to get the minimized function on the K-Map. What do you mean? I didn't make the K-MAPS they were already made, I just circled groupings for each and then put that corresponding term. Also, they are in order so I'm not quite sure what you are talking about? WX / YZ = x1,x2/x3,x4 essentially. So what do you mean exactly?

7. ### Shamieh Thread Starter Member

Oct 24, 2013
36
1
'

Tshuck I'm an idiot. I wrote the previous questions out wrong when I was telling you all because I read the column rows incorrectly. Thanks for pointing that out. As far as the grouping and terms I got.. Is that correct? Im going to edit my very first post right now so it will be clear what the question is stating, even know it;s visual

8. ### WBahn Moderator

Mar 31, 2012
20,252
5,759

What is this "+d(0)" and "+d(13)" that you have in there?

Be explicit about your mappings -- don't assume that people that normally read left-to-right are going to assume the same mappings as people that normally read right-to-left.

One simple way to do it, which usually works fine, is something like this:

m => msb {wxyz} lsb

9. ### tshuck Well-Known Member

Oct 18, 2012
3,527
675
Don't care terms

I usually write it as m(W,X,Y,Z) = 1,2,3,4,5, etc.

10. ### Shamieh Thread Starter Member

Oct 24, 2013
36
1
So is there anyone here who knows if my answer is correct? lol

11. ### tshuck Well-Known Member

Oct 18, 2012
3,527
675
That is correct.

I would say you should check this one again...

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12. ### tshuck Well-Known Member

Oct 18, 2012
3,527
675
You could always check it yourself by writing out the truth table for the function you end up with and comparing it with the original...

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13. ### Shamieh Thread Starter Member

Oct 24, 2013
36
1
What other grouping could I possibly make though? I don't understand

14. ### tshuck Well-Known Member

Oct 18, 2012
3,527
675
It isn't the grouping, it's the interpretation of it.

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15. ### Shamieh Thread Starter Member

Oct 24, 2013
36
1
Editing. Be right back

16. ### tshuck Well-Known Member

Oct 18, 2012
3,527
675
These aren't even the same values...

EDIT:Looks like you realized this as I was posting....

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17. ### WBahn Moderator

Mar 31, 2012
20,252
5,759
I'm not going to bother even looking until you specify your mappings.

18. ### Shamieh Thread Starter Member

Oct 24, 2013
36
1
Sorry was looking at the wrong problem for a second...But I am completely lost on what you mean

19. ### tshuck Well-Known Member

Oct 18, 2012
3,527
675
What expression do you get from

You got

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20. ### Shamieh Thread Starter Member

Oct 24, 2013
36
1
What? WX is my columns and YZ is the rows...