Question 1191396
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Here are the standard minterms for 2 variables only.
<table border = "1" cellpadding = "5"><tr><tdcolspan = 2></td><td colspan = 2><center>Minterms</center></td></tr><tr><td>X</td><td>Y</td><td>Term</td><td>Designation</td></tr><tr><td>0</td><td>0</td><td>X'Y'</td><td>m0</td></tr><tr><td>0</td><td>1</td><td>X'Y</td><td>m1</td></tr><tr><td>1</td><td>0</td><td>XY'</td><td>m2</td></tr><tr><td>1</td><td>1</td><td>XY</td><td>m3</td></tr></table>


This is the blank K-map for the two variables X and Y.
<img src = "https://i.imgur.com/yooV4Uo.png">
Along the top we have 0 and 1 corresponding to either X' or X respectively.
Along the left side we have 0 and 1 corresponding to either Y' or Y respectively.
These rules apply to minterms only.


Inside the table itself, we'll enter the m0 through m3 as shown below.
<img src = "https://i.imgur.com/flzy1dN.png">
Here's some informal notation to help keep track.
m0 = 00 = X'Y'
m1 = 01 = X'Y
m2 = 10 = XY'
m3 = 11 = XY
Or you could use the minterm table mentioned at the top of the page.


Next, we replace m2 and m3 with 1's since they are part of the F(X,Y) function.
The other minterms get replaced with 0s
<img src = "https://i.imgur.com/NFjEdL8.png">


Now comes the grouping. 
Use these K-Map grouping rules
<a href = "http://www.ee.surrey.ac.uk/Projects/Labview/minimisation/karrules.html">http://www.ee.surrey.ac.uk/Projects/Labview/minimisation/karrules.html</a>
and you can review on this page if needed
<a href = "http://www.ee.surrey.ac.uk/Projects/Labview/minimisation/karnaugh.html#introduction">http://www.ee.surrey.ac.uk/Projects/Labview/minimisation/karnaugh.html#introduction</a>
There are a lot of rules to keep in mind, but once you get the hang of it, it's not too bad.


Luckily in this problem, we really don't have to bother with those rules because we have a fairly trivial grouping along the right column.
So we end up with XY'+XY = X(Y'+Y) = X*1 = <font color=red>X</font>


Answer: <font color=red>X</font>
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