GATE Electrical 2015 Set 2 | Question: 13

Question

Consider the following Sum of Products expression, $F$.

$F= ABC + \overline{A} \: \: \overline{B}C + A\overline{B}C + \overline{A}BC + \overline{A} \: \overline{B} \: \overline{C}$

The equivalent Product of Sums expression is

• A. $F= (A+\overline{B}+C) (\overline{A}+B+C) (\overline{A}+\overline{B}+C)$
• B. $F= (A+\overline{B}+\overline{C}) (A+B+C) (\overline{A}+\overline{B}+\overline{C})$
• C. $F= (\overline{A}+B+\overline{C}) (A+\overline{B}+\overline{C}) (A+B+C)$
• D. $F= (\overline{A}+\overline{B}+C) (A+B+\overline{C}) (A+B+C)$