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A function $F(A, B, C)$ defined by three Boolean variables $\text{A, B and C}$ when expressed as sum of products is given by

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

where, $\overline{A}\:,\overline{B}\:,and\:\overline{C}$ are the complements of the respective variables. The product of sums $\text{(POS)}$ form of the function $F$ is 

  1. $F=\left ( A +B+C\right ).\left ( A+\overline{B} + C\right ). \left ( \overline{A}+B+C \right )$
  2. $F=\left ( \overline{A} +\overline{B}+\overline{C}\right ).\left ( \overline{A} +B+ \overline{C}\right ). \left (A+ \overline{B}+\overline{C} \right )$
  3. $F=\left ( A +B+\overline{C}\right ).\left ( A+\overline{B} + \overline{C}\right ). \left (\overline{A}+ B+\overline{C} \right ).\left ( \overline{A}+\overline{B}+C\right ).\left ( \overline{A}+\overline{B} +\overline{C}\right )$
  4. $F=\left ( \overline{A}+\overline{B}+C\right ).\left (\overline{A} +B+ C\right ). \left (A+\overline{B}+ C \right ).\left (A+B+\overline{C}\right ).\left ( A+B+C \right )$
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