Question
Download Solution PDFAssume x' represents negation of x the Boolean function x'y' + xy + x'y is equivalent to?
This question was previously asked in
NIMCET 2020 Official Paper
Answer (Detailed Solution Below)
Option 1 : x' + y
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NIMCET 2020 Official Paper
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120 Questions
480 Marks
120 Mins
Detailed Solution
Download Solution PDFThe correct answer is x' + y.
To find the equivalent of x'y' + xy + x'y,
First take x' common from x'y' + x'y
= xy + x'(y + y')
Use A + A' = 1
= xy + x'. 1
Use (A+BC)= (A+B)(A+C)
= (x + x’)(y + x')
Use A + A' = 1
= 1.(x’ + y)
- Hence (x’ + y) is the answer.
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