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The logic operation (OR, AND, NOR or NAND) carried out by following circuit is

Inputs A and B go to a NOR gate; the NOR output is connected to both inputs of a NAND gate, whose output is Y

  • A.AND
  • B.NOR
  • C.OR
  • D.NAND

Answer: C

The circuit performs the OR operation.

The NOR gate gives \(\overline{A + B}\). A NAND gate with both inputs tied together acts as an inverter, since \(\overline{X \cdot X} = \overline{X}\). So

\[ Y = \overline{\overline{A + B}} = A + B \]

which is OR. NOR would be the output of the first gate alone, without the inverting NAND. AND and NAND would need the inputs to be combined by an AND-type gate first, but here they enter a NOR gate.

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