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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?
Verified 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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Most Upvoted 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? for Electronics and Communication Engineering (ECE) 2025 is part of Electronics and Communication Engineering (ECE) preparation. The Question and answers have been prepared according to the Electronics and Communication Engineering (ECE) exam syllabus. Information about 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? covers all topics & solutions for Electronics and Communication Engineering (ECE) 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 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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