GATE CS 2015 Set 2 — Question 55
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Digital Logic → Boolean Algebra & Logic Gates → Boolean Laws & Theorems
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Question
The number of min-terms after minimizing the following Boolean expression is _________
Correct answer
1 to 1
Solution
Let the given expression be . We first simplify the inner expression :Group terms with :Using , we have . Also .Now we need to find the complement of :Using De Morgan's Law:Since we have a factor , the term becomes because .This expression represents a single minterm ().
Thus, the number of min-terms is 1.
Thus, the number of min-terms is 1.
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