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Simplify the following using $\text{K}$ – map :

$F(A, B, C, D) = \Sigma (0, 1, 2, 8, 9, 12, 13)$

$d(A, B, C, D) = \Sigma (10, 11, 14, 15)$

$\text{d}$ stands for don't care condition.

  1. $A+\bar{B} \bar{D} +BC$
  2. $A+\bar{B} \bar{D} + \bar{B} \bar{C}$
  3. $\bar{A} + \bar{B} \bar{C}$
  4. $\bar{A} + \bar{B} \bar{C} + \bar{B} \bar{D}$
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