बूलियन प्रमेय के साथ दिए गए व्यंजक x + x'y की समानता ______ है।

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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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सही उत्तरx + y है।

X+X'Y को हल करने के लिए

X.1 = X, का उपयोग करें

= X.1 + X'Y 

1 + Y = 1 का उपयोग करें

= X(1 + Y) + X'Y 

= X + XY + X'Y

= X + Y(X + X')

X + X' = 1 का उपयोग करें

= X + Y.1

Y.1 = Y का उपयोग करें

= X + Y

  • अतः उत्तर X+Y है।

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