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@air1ankit in pos we will take 1 in complement and 0 as normal while in sop we take 1 as normal and 0 as a complemented

check are you correct here.

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when we give include red circle too to give the answer as @Lokesh . used the only black circle to give the answer ???

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I think we can do using the prime implicant chart (Branching method), we got the same answer as well as it depends upon the choice. So more than one answer is possible. In $1990$ time paper are descriptive, that time solution matters.

f

We get $\overline{f}(A,B,C)=A\overline{B}+\overline{A}C+B\overline{C}$ $\text{SOP}$

We can also write $f(A,B,C)=(\overline{A}+B)\cdot(A+\overline{C})\cdot(\overline{B}+C)$ $\text{POS}$

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@Lakshman Patel RJIT Thank you for your explanation and tell me one thing more ,when we combine all possible combination (red circle) and combine all combination (black circle) is as similar as only (black combination)??

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@air1ankit There are more than one POS possible but it may or may not be minimal. It depends upon the choices.

Here i take $A\overline{B}$ first then i apply the procedure and then take $\overline{A}C$ and after that remaining $B\overline{C}.$

It is always better to use the prime implicant chart method if there is no essential prime implicant.

I show you another answer also possible when i take differently,it depends what we choose first.

I hope you understand.

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