ISRO Electronics & Communication (ECE) 2007 - Question 23

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The Boolean expression for the output of the logic circuit shown in the figure is \n\n[Figure needs to be uploaded later]

  • A. $Y=AB+\overline{AB}+C$
  • B. $Y=\overline{A}\overline{B}+AB+\overline{C}$
  • C. $Y=A\overline{B}+\overline{A}B+C$
  • D. $Y=AB+\overline{A}B+\overline{C}$

Answer: B. $Y=\overline{A}\overline{B}+AB+\overline{C}$

Explanation: [Figure needs to be uploaded later]\n$Y = \overline{(A \oplus B)C} = \overline{A \oplus B} + \overline{C} = A \odot B + \overline{C} = \overline{A}\overline{B} + AB + \overline{C}$

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