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QJEEM19Ph0203: JEE Main 2019 Physics - Class 12 JEEM19Ph0203 Solution: To get output 1 at R, for the given logic gate circuit the…

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

JEE Main 2019 (Online) 10th January Morning Slot Physics - Semiconductor Question 162 English

Multiple Choice Options

  • A x = 0, y = 0
  • B x = 1, y = 0
  • C x = 0, y = 1
  • D x = 1, y = 1

Step-by-Step Verified Solution

P = x‾+\overline x + y

Q = y‾.x‾\overline {\overline y .x} = y + x‾\overline x

Output, R = P+Q‾\overline {P + Q}

To make R = 1

P+Q‾\overline {P + Q} should be = 1

∴\therefore P + Q must be 0

∴\therefore ( x‾+\overline x + y) + (y + x‾\overline x ) = 0

Now by checking each option you can see

When y = 0 and x = 1 then

x‾+\overline x + y = 0

∴\therefore ( x‾+\overline x + y) + (y + x‾\overline x ) = 0

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