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The Boolean expression $Y=\overline{A} \;\overline{B}\; \overline{C} D+\overline{A} B C \overline{D}+A \overline{B}\; \overline{C} D+A B \overline{C}\; \overline{D}$ can be minimized to

  1. $Y=\overline{A}\; \overline{B}\; \overline{C} D+\overline{A} B \overline{C}+A \overline{C} D$
  2. $Y=\overline{A}\; \overline{B}\; \overline{C} D+B C \overline{D}+A \overline{B} \;\overline{C} D$
  3. $Y=\overline{A} B C \overline{D}+\overline{B}\; \overline{C} D+A \overline{B} \;\overline{C} D$
  4. $Y=\overline{A} B C \overline{D}+\overline{B}\; \overline{C} D+A B \overline{C} \;\overline{D}$
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