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

  1. $F = \overline{X}\:Y\:Z + X\:\overline{Y}\:Z$
  2. $F = \overline{X}\:Y\:\overline{Z} + X\:\overline{Y}\:\overline{Z}$
  3. $F = \overline{X}\:\overline{Y}\:Z + X\:Y\:Z$
  4. $F = \overline{X}\:\overline{Y}\:\overline{Z} + X\:Y\:Z$
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