Minimize the following using K-Map and implement using universal gates

[momentum]

Problem:
minimize the following using K-Map and implement using universal gates
f=sum of m( 2,3,6,7,8,10,11,13,14)My Solution
Here is my solution

https://prnt.sc/jdyk0k

However, my solution is not matching with book solution

Book solution
https://prnt.sc/jdyj4n

I'm confused. which solution is correct?

 

[lewando]

The book solution is correct. You do not appear to be mapping the minterms to the K-map cells properly. If you could explain how you are mapping the minterm "3", for example, additional help could be provided.

 

[momentum]

Ok.. understood.
I did the correction. Now I have 2 solutions to this problem.

Solution # 1

And

Solution # 2

But Book has given only Solution # 2 . Did they missed Solution # 1 ?

Do you think Solution # 1 is invalid ? Or Book just missed to print solution#1

Please correct me If I can write Solution # 1 as a possible solution to this problem. I'm stuck at this point.

 

[lewando]

Solution 1 is valid, but solution 2 is more simplified. When doing K-map grouping, if any group can be extended, extend it.

 

[momentum]

Thanks. That helped a lot.