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JEE Main201910 Jan 2019Morning ShiftPhysicsSemiconductorsActual

To get output '1' at R , for the given logic gate circuit the input values must be:

Options

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

Correct answer

D. X = 1 , Y = 0

Step-by-step solution

R = ( X ¯ + Y ) + ( X ⋅ Y ¯ ¯ ) ¯ = ( X ¯ + Y ¯ ) ⋅ ( X . Y ¯ ¯ ¯ ) = ( X . Y ¯ ) ⋅ ( X . Y ¯ ) = ( X . Y ¯ )

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