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Simplify the following Boolean function in sum of minterm:
F(A, B, C, D) = Σ(0, 6, 8, 13, 14)
d (A, B, C, D) = Σ(2, 4, 10)
where, d stands for don't care condition
  • a)
    B̅D̅ + C̅D̅ + ABC̅D̅
  • b)
    B̅D̅ + C̅D̅ + A̅BC̅D
  • c)
    BD̅ + CD̅ + ABC̅
  • d)
    B̅D̅ + CD̅ + ABC̅D
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
Simplify the following Boolean function in sum of minterm:F(A, B, C, D...
  • we are given the boolean function
  • we need to simplify the function in the sum of minterms
  • we will use the K-Map to simplify the function 
  • the K-Map is a very useful tool to simplify long boolean expressions into simplified form in a very systematic approach
From the K-Map we get 
  • F(A, B, C, D) = Σ(0, 6, 8, 13, 14)
  • d (A, B, C, D) = Σ(2, 4, 10)

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Community Answer
Simplify the following Boolean function in sum of minterm:F(A, B, C, D...
F(A, B, C, D) = Σ(0, 1, 2, 4, 5, 7, 8, 10, 11, 14)
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Simplify the following Boolean function in sum of minterm:F(A, B, C, D) = Σ(0, 6, 8, 13, 14)d (A, B, C, D) = Σ(2, 4, 10)where, d stands for dont care conditiona)BD + CD + ABCDb)BD + CD + ABCDc)BD + CD + ABCd)BD + CD + ABCDCorrect answer is option 'D'. Can you explain this answer?
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