The Boolean expression $\mathrm{Y}=\mathrm{A} \overline{\mathrm{B}} \mathrm{C}+\overline{\mathrm{A}}…

The Boolean expression $\mathrm{Y}=\mathrm{A} \overline{\mathrm{B}} \mathrm{C}+\overline{\mathrm{A}} \overline{\mathrm{C}}$ can be realised with which of the following gate configurations.
A. One 3-input AND gate, 3 NOT gates and one 2input OR gate, One 2-input AND gate,
B. One 3-input AND gate, 1 NOT gate, One 2input NOR gate and one 2-input OR gate
C. 3-input OR gate, 3 NOT gates and one 2-input AND gate
Choose the correct answer from the options given below
  1. B, C Only
  2. A,B Only
  3. A, B, C Only
  4. A, C Only

Solution


$\because \overline{\mathrm{A}} \cdot \overline{\mathrm{C}}+\overline{\mathrm{A}+\mathrm{C}} \equiv \mathrm{NOR}$ gate

Asked in: JEE Main 2025 (04 Apr Shift 1)

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