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The figure gives a system of logic gates. From the study of the truth table, it can be found that to produce a high output ( 1 ) at R , we must have

Options

  1. AX = 0 , Y = 1
  2. BX = 1 , Y = 1
  3. CX = 1 , Y = 0
  4. DX = 0 , Y = 0

Correct answer

C. X = 1 , Y = 0

Step-by-step solution

From figure X ¯ + Y + X Y ¯ ¯ = R R = X ¯ + Y ¯ ⋅ X Y ¯ ¯ R = X ¯ Y ¯ X ¯ + Y ¯ R = X Y ¯ X ¯ + Y R = X X ¯ Y ¯ + X Y ¯ R = X Y ¯ i.e., when X = 1 Y = 0 ⇒ R = 1

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