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GATE Electrical 2018 | Question: 37

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Digital input signals A, B, C with A as the MSB and C as  the LSB are used to realize the Boolean function $F=m_0+m_2+m_3+m_5+m_7$, where $m_i$ denotes the $i$ th minterm. In addition, $F$ has a don’t care for $m_1$. The simplified expression for $F$ is given by

  1. $\overline{A} \: \overline{C} + \overline{B} C + AC$
  2. $\overline{A}+C$
  3. $\overline{C}+A$
  4. $\overline{A} C + BC + A \overline{C}$

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