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1 votes
1 votes

In the following circuit, $\text{X}$ is given by

  1. $\text{X}=\text{A}\; \overline{\text{B}}\; \overline{\text{C}}+\overline{\text{A}} \;\text{B}\; \overline{\text{C}}+\overline{\text{A}}\; \overline{\text{B}} \;\text{C}+\text{A B C}$
  2. $\text{X}=\overline{\text{A}} \;\text{B C + A} \;\overline{\text{B}}\; \text{C + A B} \;\overline{\text{C}}+\overline{\text{A}}\; \overline{\text{B}}\; \overline{\text{C}}$
  3. $\text{X = A B + B C + A C}$
  4. $\text{X}=\overline{\text{A}} \;\overline{\text{B}}+\overline{\text{B}}\; \overline{\text{C}}+\overline{\text{A}} \;\overline{\text{C}}$
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1 Answer

1 votes
1 votes
$\mathrm{Y}$ is $\text{A} \oplus \text{B}$
So, $\mathrm{X}=(\text{A} \oplus \text{B}) \oplus \text{C}$
$\mathrm{X}$ is $1$ iff Odd number of inputs are $1.$ So, the answer is Option A.
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