Boolean Algebra Kmaps reading-invalid inputs

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#1

Learning Challenge

Boolean Algebra

Question

In the last section of the second reading material “Kmaps”
the sections is titled INVALID INPUTS

in the example given where F(w, x, y, z) = w’z + yz
0000, 0010, 0101, and 1100, where labeled as undefined.
Why are those undefined?

example
example704×169 2.04 KB

why are those values X?

What I’ve tried

I drew up my own Kmap for the example F(w, x, y, z) = w’z + yz
I understand that in the function x isn’t used but not sure what that has to do with it.

Screenshots

example2
example2707×641 35.6 KB

Thank you very much!

#2

Hi Jia,
I’d recommend taking a look at this post from a few months ago in which we discussed a similar question. There are some video resources that I think will be helpful for you.

#3

thank you for the video link

My understanding is that for those marked as X

either 1 or 0 could be the possible answer, is that correct?

Thank you very much for your time

1 Like
#4

Exactly, you can treat each x as a 0 or a 1, in order to help you make your groupings.

#5

Thank you as always Jesse!

1 Like