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Given the following karnaugh map, which one of the following represents the minimal Sum-Of-Products of the map?

1. $XY+Y'Z$
2. $WX'Y' + XY +XZ$
3. $W'X+Y'Z+XY$
4. $XZ+Y$

### 1 comment

edited by
thanks

w'x is not there?
no

the groupings are second row where y=0, z=1 and 4 terms from last two rows
yes. thats rt. Sorry I missed it.
no probs
kindly plz explain not getting ...??
@priyanka Its a don't care problem
why not c ?? please explain
can you show how you get C ? then it is easy to tell where you go wrong.
I got my mistake, but I am little bit confusing to use don't care condition, can u explain when i have to use don't care condition and when not ...??
if by taking dont care you get a mapping of 2,4, 8 subcubes then you need to include it , otherwise, ignore it.

include means you took don't care = 1 in case of SOP and 0 in case of POS.
if I map a subcube by taking 1 x   ( don't care condition) and if I take 2 x (don't  care condition ) then i can map a large subcube  then which one i have to select ????
2 dontcare.
If we would have got an octet,then we should have kept don't cares.But here only quads are obtained by keeping don't cares and we have got quads previously so we decide not to use remaining don't cares.

Correct ?