AIIMS2017Physics-Digital Electronics
AIIMS 2017 Physics Logic Gates MCQ Question
Type: MCQ-conceptual-Medium-Class 12
The logic circuit as shown below has the input waveform A and B as shown pick out the correct output waveform.
Correct Answer
Option A
Detailed Explanation
By de Morgan’s theorem, the expression A̅ + B̅ is equivalent to the negation of the conjunction of A and B, which can be expressed as A · B. This means that the logical OR of the negations (A̅ + B̅) is equal to the negation of the logical AND (¬(A · B)). The other options are not applicable or relevant to de Morgan's laws, which specifically address the relationship between conjunctions and disjunctions in Boolean algebra. Understanding this theorem is crucial for simplifying logical expressions in digital logic design.
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