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Considering the circuit and the associated signals measured at different pins (numbered as 1, 2, 3, 4, 5) shown in the figure, the correct option is

Circuit P to NOT gate (pin 2), pins 2 and 3 (Q) to NOR gate (pin 4), pin 4 to NOT gate (pin 5, Y), with the voltage waveforms at pins 1 to 5 over six equal intervals

Interval123456
Pin 1 (P)010101
Pin 2101010
Pin 3 (Q)001100
Pin 4001000
Pin 5 (Y)110111

  • A.NOT gate between pins 1 and 2 is faulty.
  • B.NOR gate is faulty.
  • C.NOT gate between pins 4 and 5 is faulty.
  • D.The NOR and output NOT gates, are both faulty.

Answer: B

The NOR gate is faulty.

Check each gate against its own inputs. The first NOT gate is fine: pin 2 (1, 0, 1, 0, 1, 0) is the inverse of pin 1 (0, 1, 0, 1, 0, 1). The output NOT gate is fine: pin 5 (1, 1, 0, 1, 1, 1) is the inverse of pin 4 (0, 0, 1, 0, 0, 0).

A working NOR gate gives 1 only when both inputs are 0. With pin 2 = 1, 0, 1, 0, 1, 0 and pin 3 = 0, 0, 1, 1, 0, 0, both are 0 in intervals 2 and 6, so pin 4 should read 0, 1, 0, 0, 0, 1. It actually reads 0, 0, 1, 0, 0, 0, high only when both inputs are 1, which is AND behaviour. So the NOR gate alone is at fault, and the options blaming either NOT gate, or both the NOR and the output NOT gate, are ruled out by the checks above.

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