ISRO Computer Science (CSE) 2008 - Question 11

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The Boolean theorem AB + A'C + BC = AB + A'C corresponds to

  • A. (A + B).(A' + C).(B + C) = (A + B).(A' + C)
  • B. AB + A'C + BC = AB + BC
  • C. AB + A'C + BC = (A + B).(A' + C).(B + C)
  • D. (A + B).(A' + C).(B + C) = AB + A'C

Answer: A. (A + B).(A' + C).(B + C) = (A + B).(A' + C)

Explanation: This is the dual of the Consensus Theorem. The Consensus Theorem states AB + A'C + BC = AB + A'C. The dual forms are obtained by swapping + and *.

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