Question

Consider the Boolean expression:

$f(A,B,C,D)=(A+B+C+\overline{D})(A+\overline{B}+\overline{C}+D)(A+B+\overline{C}+\overline{D})(\overline{A}+\overline{B}+\overline{C}+\overline{D})(\overline{A}+\overline{B}+\overline{C}+D)$

Then, the function $f(A,B,C,D)$ can be expressed as

• A.
  $\sum m(0,2,4,5,7,9,10,11,12,13,15)$
• B.
  $\sum m(1,2,4,5,7,8,9,10,11,13,15)$
• C.
  $\sum m(0,2,4,5,7,8,9,10,11,12,15)$
• D.
  $\sum m(1,2,4,5,7,8,9,10,11,12,15)$

Answer 1

The correct option is C

$\sum m(0,2,4,5,7,8,9,10,11,12,15)$
The Boolean function can be represented as



$\therefore \sum m(0,2,4,5,7,8,9,10,11,12,15)$