Question

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

The correct option is A $\overline{X}Y,X\overline{Y}$

$f(X,Y,Z)=\sum m(2,3,4,5)$

$\therefore f(X,Y,Z)=X\overline{Y}+\overline{X}Y$