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Total number of essential prime implicants in the given K-map (x represents don't care) are ___ ?

edited | 345 views
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$PI=5?$

$EPI=2?$
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Even I thought the same, but answer is given as 3.

They considered the prime implicant with min-terms 5,7,13,15 as essential prime implicant.

Why is it considered as essential prime implicant?
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How the essential prime implicants are two??akshman Patel RJIT.

I am getting 3

I agree with prime imp as 5

+5

see this, it might be helpful​​​​​​​

+1
@Hemanth

Can you please explain as I'm also getting 2 EPI.
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$PI=5$ and $EPI=2$

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Sorry guys

my definition of EPI was which boxes are necessary one quad and two pairs so 3

Identified my error :D

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see my above comment, it might be helpful.
+1
Yes!! Relooked at the definition ;)
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what's the correct answer 3 or 2. I am getting 3
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The correct answer is $2$

How you got $3?$
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2 essential PI same as you. 1 for the uncovered x in middle quad.
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+2

Found this from the discussion.If don't care can be included for PI, then it can also be included for EPI?

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what is the conclusion of the discussion??

im getting 2

do we count  dont care quad as epi
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If don't care can be included for PI, then it can also be included for EPI
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means you are saying that then ans will be 3

because it is included for pi
+2
Answer is 2 only, remember no need to match the answer, just go with concepts
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okay thankyou..

Epi=2

PI=5

by Boss (36.7k points)