मान लें कि x 'बूलीन फलन की उपेक्षा का प्रतिनिधित्व करता है तो x'y' + xy + x'y किसके बराबर है?

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  1. x' + y
  2. x + y
  3. x + y'
  4. x' + y'

Answer (Detailed Solution Below)

Option 1 : x' + y
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NIMCET 2020 Official Paper
120 Qs. 480 Marks 120 Mins

Detailed Solution

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सही उत्तर है x' + y.

x'y' + xy + x'y, का समतुल्य ज्ञात करने के लिए

सबसे पहले x'y' + x'y से x' उभयनिष्ठ लें

= xy + x'(y + y')

A + A' = 1 का उपयोग करें

= xy + x'. 1 

(A+BC)= (A+B)(A+C) का उपयोग करें

= (x + x’)(y + x') 

A + A' = 1 का उपयोग करें

= 1.(x’ + y) 

  • अतः (x’ + y) उत्तर है।

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