question_answer

Find the CORRECT Boolean Expression for the given logic circuit diagram.

A) \[F\left( X,Y,Z \right)=\left( X.Y \right)+\left( X.\overline{Z} \right)+\left( \overline{Y}.\left( \overline{X}.Z \right) \right)\]

B) \[F\left( X,Y,Z \right)=\left( X+Y \right).\left( \overline{X}+\overline{Z} \right).\left( Y+Z \right)\]

C) \[F\left( X,Y,Z \right)=\left( X+Z \right).\left( \overline{X}+Z \right).\left( Y+Z \right)\]

D) \[F\left( X,\text{ }Y,\text{ }Z \right)=\left( X+\text{ }Y \right).\left( X+\text{ }Z \right).\left( Y+\text{ }Z \right)\]