# Digital logic equation problem

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 [Broken]

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

Thanks

Last edited by a moderator:

Staff Emeritus
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