Question

Minimized expression for the Boolean function

$f(A,B,C,D)=\sum m(0,2,3,4,6,8,9,10,12,14)+\sum d(5,7,13,15)$

• A. $\overline{D}+B+\overline{A}C+A\overline{C}$
• B. $\overline{D}+\overline{A}C+A\overline{C}$
• C. $\overline{D}+AC+\overline{A}\overline{C}$
• D. $\overline{D}+B+AC+\overline{A}\overline{C}$

Answer 1

The correct option is B

$\overline{D}+\overline{A}C+A\overline{C}$

The following K-map has one octet $\to \overline{D}$ and two quads $\to \overline{A}C,A\overline{C}$



$\therefore$ Minimized expression is $\overline{D}+\overline{A}C+A\overline{C}$