The product of sum expression of a Boolean function F(A, B, C) of three variables is given by
$F(A, B, C) = (A + B + \overline{C}) \cdot(A + \overline{B} + \overline{C}) \cdot (\overline{A} + B + C) \cdot(\overline{A} + \overline{B} + \overline{C}$)
The canonical sum product expression of $F(A, B, C)$ is given by
- $\overline{A}\; \overline{B} C + \overline{A} B C + A \overline{B}\; \overline{C} + A B C$
- $\overline{A}\; \overline{B}\; \overline{C}+ \overline{A} B \overline{C}+ A \overline{B} C + A B \overline{C}$
- $A B \overline{C} + A \overline{B}\;\overline{C} + \overline{A} B C + \overline{A} \;\overline{B}\; \overline{C}$
- $\overline{A}\; \overline{B}\; \overline{C} + \overline{A} B C + A B \overline{C} + A B C$