Really? Seems correct to me.
X5 AND NOT (X2 OR X3)
Yellow square - area, where x5 = 1
In blue coverage x5 present both in direct and (left cells) inverse state - it is wrong
Timothy's idea has the same error
Really? Seems correct to me.
X5 AND NOT (X2 OR X3)
Yellow square - area, where x5 = 1
In blue coverage x5 present both in direct and (left cells) inverse state - it is wrong
Timothy's idea has the same error
((X6 AND NOT X4) OR (X5 AND NOT X6) AND NOT (X2 OR X3)
But you don't need the blue one if you move the purple on down a square
Hey, this Karnaugh mapping is interesting.
Say, alK, why don't you help educate me by explaining what these things are used for?
It is a four different terms, four different coverages with too big complexity.OK...
Blue: X1'.X2'.X3'.X6.X4' + X1'.X2'.X3'.X5.X6' + X1.X2'.X3'.X6.X4' + X1.X2'.X3'.X5.X6'
the same - it is two different coverages, not one.But it really only needs to be X5.X4'.X2'.X3'
same as aboveX1.X3.X5.X4' + X2'.X3'.X5.X4'
it can't be doneDon't say it can't be done!
Sorry, my errorHow is this X5.X4'.X2'.X3' two different coverages? (I don't understand, maybe it is)
Not, you are wrong.All my examples were sums of products.
you may be something wrong there understoodI did pretty much what is done here on page 6.
This is a sum of product, yes, but it is not a minimal form. You covers on K-Map:Personally, I don't think the sum of products or the product of sums is the simplest. In terms of gates you probably want to factor stuff out and get to what I gave in an earlier answer.
For example:
X1'.X2'.X3'.X6.X4' + X1'.X2'.X3'.X5.X6' + X1.X2'.X3'.X6.X4' + X1.X2'.X3'.X5.X6'
becomes
X1'.X2'.X3'.(X6.X4' + X5.X6') + X1.X2'.X3'.(X6.X4' + X5.X6')
which further factors out to
(X1'.X2'.X3' + X1.X2'.X3').(X6.X4' + X5.X6')
and yet further to
(X2'.X3')(X1' + X1).(X6.X4' + X5.X6')
which simplifies to
(X2'.X3').(X6.X4' + X5.X6')
Look at the rules for defining these maps. None of the 2^n size rectangles we've defined break those rules. Therefore they MUST be able to be expressed.
Perhaps you have some idea of what "simple" means that differs from me.
At the very least this is the blind leading the blind,