Digital-Logic-Design
Question 757
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Given the truth table of a Binary Operation $ as follows:

Identify the matching Boolean Expression.
X $ Y’
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X’ $ Y
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X’ $ Y’
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None of the above
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Question 757 Explanation:
X$Y= X+Y’
So,
X $ ¬Y= X+Y
¬X $ Y= X’ + Y’
¬X $ ¬Y= X’ + Y
So,
X $ ¬Y= X+Y
¬X $ Y= X’ + Y’
¬X $ ¬Y= X’ + Y
Correct Answer: D
Question 757 Explanation:
X$Y= X+Y’
So,
X $ ¬Y= X+Y
¬X $ Y= X’ + Y’
¬X $ ¬Y= X’ + Y
So,
X $ ¬Y= X+Y
¬X $ Y= X’ + Y’
¬X $ ¬Y= X’ + Y
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