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Given Logic Gate represents which of the following Truth Table ?

A NOR gate whose two inputs are both connected to the single input A; its output is Q

  • A.A = 0, Q = 0; A = 1, Q = 0
  • B.A = 0, Q = 1; A = 1, Q = 1
  • C.A = 0, Q = 0; A = 1, Q = 1
  • D.A = 0, Q = 1; A = 1, Q = 0

Answer: D

The gate gives the truth table A = 0, Q = 1; A = 1, Q = 0.

A NOR gate outputs 1 only when all its inputs are 0. With both inputs tied to A, the output is \(\overline{A + A} = \overline{A}\), so the gate acts as an inverter: A = 0 gives Q = 1, and A = 1 gives Q = 0.

Option A is a constant 0, option B a constant 1, and option C is a buffer (Q = A), none of which a NOR gate with tied inputs produces.

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