UPPCL AE 2018:4

Question

Recall that an implicant is a product term in the sum of products representation of a Boolean function. A prime implicant is an implicant of minimal size (i.e. an implicant with the fewest literals). Which of the following are $\text{NOT}$ prime implicants of the function $\text{F} = ab’c’ + abc + a’bc + a’b’d’.$

1. $a’cd’$
2. $abcd$
3. $a’bc$
4. $a’b’c’d’$

 

• A. $\text{I}$ and $\text{III}$ only
• B.  $\text{I}$ and $\text{II}$ only
• C. $\text{II}$ and $\text{IV}$ only
• D. None of the above

Answer 1

I'm not getting the correct answer. plz, clarify.