Digital input signals A, B, C with A as the MSB and C as the LSB are used to…

GATE · 2018 · EE · Electrical Engineering

Digital input signals A, B, C with A as the MSB and C as the LSB are used to realize the Boolean function F = m₀ + m₂ + m₃ + m₅ + m₇, where mᵢ denotes the ith minterm. In addition, F has a don’t care for m₁. The simplified expression for F is given by

  1. A.

    ĀC̄ + B̄C + AC

  2. B.

    Ā + C

  3. C.

    C̄ + A

  4. D.

    ĀC + BC + AC̄

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