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In a digital logic circuit, input A is passed through a NOT gate. The output of this NOT gate and another input B are then fed into an OR gate to produce the final output Y . The digital states for inputs A and B over four consecutive time intervals t₁, t₂, t₃, and t₄ are given as follows: Input A : 0, 1, 0, 1 Input B : 0, 0, 1, 1 Which of the following represents the correct sequence of the output Y for these four t

Options

  1. A0, 1, 1, 1
  2. B1, 0, 1, 1
  3. C0, 0, 1, 0
  4. D1, 0, 0, 0

Correct answer

B. 1, 0, 1, 1

Step-by-step solution

The logic circuit consists of a NOT gate followed by an OR gate. The Boolean expression for the output is Y = A + B . We evaluate this expression for each time interval: At t₁ : A = 0, B = 0 Y = 0 + 0 = 1 + 0 = 1 At t₂ : A = 1, B = 0 Y = 1 + 0 = 0 + 0 = 0 At t₃ : A = 0, B = 1 Y = 0 + 1 = 1 + 1 = 1 At t₄ : A = 1, B = 1 Y = 1 + 1 = 0 + 1 = 1 The correct sequence for the output Y is 1, 0, 1, 1 . Answer: 1, 0, 1, 1

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