The output $F$ in the digital logic circuit shown in the figure is

- $F = \overline{X}\:Y\:Z + X\:\overline{Y}\:Z$
- $F = \overline{X}\:Y\:\overline{Z} + X\:\overline{Y}\:\overline{Z}$
- $F = \overline{X}\:\overline{Y}\:Z + X\:Y\:Z$
- $F = \overline{X}\:\overline{Y}\:\overline{Z} + X\:Y\:Z$