GATE ECE 2012 | Question: 19

Question

In the sum of products function $f(X,Y,Z)=\sum(2,3,4,5)$, the prime implicants are

• A. $\overline{X}Y,X\overline{Y}$
• B. $\overline{X}Y,X\overline{Y}\;\overline{Z},X\overline{Y}Z$
• C. $\overline{X}Y\overline{Z},\overline{X}YZ,X\overline{Y}$
• D. $\overline{X}Y\overline{Z},\overline{X}YZ,X\overline{Y}\;\overline{Z},X\overline{Y}Z$

Answer 1

Answer is option $\boxed{A}$

 

 

 

 

 

 

 

 

 

Important Definitions : (source) https://cseweb.ucsd.edu/classes/sp14/cse140-b/slides/140-sp14-lec4.pdf

Answer 2

Option A - 2 Prime implicants