Why Am I Getting an Extra Area in My Karnaugh Map Simplification?

[Koopan]

Hi,
I'm new to this forum.
My problem led me here.

Homework Statement

I need to solve this, using simplifying rules.
∫ = Ʃ(0,5,6,7,13)

But I always get one extra area when checking with Karnaugh map, which isn't necessary.

Homework Equations

∫() = a' b' c' d' + a' b c' d + a' b c d' + a' b c d + a b c' d

The Attempt at a Solution

Well I get always this as a solution, no matter the order i simplify

∫() = a' b' c' d' + b c' d + a' b c + a' b d


Now when applied to Karnaugh map the areas (equation parts from left to right 1-4) 1, 2, 3 are the solution I get when only using the map. But 4 overlaps with 2 and 3.

http://s8.postimage.org/dbo6zqrab/img.jpg

If anyone has time to help me out, then please do.

Thanks

 

[NascentOxygen]

I need to solve this, using simplifying rules.
$\int = \sum (0,5,6,7,13)$

Can you explain what this means, and how you went about solving it? I might catch on to what you are doing.

 

[Ivan92]

The k-map produces the right result: The simplified equation is:

a' b c +b c' d + a' b' c' d'

There is more you can do with your equation

a' b' c' d' + b c' d + a' b c + a' b d

Hint: Consensus Theorem :)

 

[Koopan]

Thank you Ivan92 your advice helped me solve this.

Now as I'm here does anyone know any free or opensource software for modelling this function visually?

 

[DeeNos]

Hello, welcome to the forum. It looks like you are trying to simplify a digital logic equation using Karnaugh maps. Karnaugh maps are a great tool for simplifying digital logic equations, but they can be confusing at first. It's important to make sure you are following the correct steps and using the correct rules.

From your attempt at a solution, it looks like you may be missing a step in the simplification process. After you have created your Karnaugh map and identified the groups of 1's, you need to combine these groups using the rules of simplification, such as adjacent squares and squares that wrap around the edges of the map. Once you have combined all the groups, you should have a simplified equation with no overlapping areas.

It's also important to make sure you are using the correct variables and terms in your equation. In your homework statement, you have listed the equation as ∫ = Ʃ(0,5,6,7,13), but in your attempt at a solution, you have used a different equation. Make sure you are using the correct equation for your problem.

If you are still having trouble, you may want to double check your steps and equations with a classmate or your instructor. Sometimes it can be helpful to have a second set of eyes look at your work. Good luck!