The equivalence of given expression x + x'y with Boolean theorem is ______.

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NIMCET 2020 Official Paper
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  1. x
  2. x + y
  3. x'
  4. 0

Answer (Detailed Solution Below)

Option 2 : x + y
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NIMCET 2020 Official Paper
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120 Questions 480 Marks 120 Mins

Detailed Solution

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The correct answer is ​x + y.

To solve X+X'Y

Use X.1 = X, 

= X.1 + X'Y 

Use 1 + Y = 1

= X(1 + Y) + X'Y 

= X + XY + X'Y

= X + Y(X + X')

Use X + X' = 1 

= X + Y.1

Use Y.1 = Y

= X + Y

  • Hence answer is X+Y.
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