ISRO Computer Science (CSE) 2013 - Question 28

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The most simplified form of the Boolean function X(A, B, C, D) = Σ(7, 8, 9, 10, 11, 12, 13, 14, 15) is ?

  • A. A + A'BCD
  • B. AB + CD
  • C. A + BCD
  • D. ABC + D

Answer: C. A + BCD

Explanation: K-map simplification. Terms 8-15 cover A=1. Term 7 is 0111 (A'BCD). A + A'BCD = (A+A')(A+BCD) = A + BCD.

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