Question
Download Solution PDFOutput X in the circuit is:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
The circuit given is a combination of basic logic gates: NOT, AND, and OR.
We analyze each gate step-by-step:
1. NOT Gates:
\( D \rightarrow \overline{D} \), \( B \rightarrow \overline{B} \)
2. First AND Gate:
Inputs = A, C, and \(\overline{D}\) → Output = \( A \cdot C \cdot \overline{D} \)
3. Second AND Gate:
Inputs = \(\overline{B}\), A, and C → Output = \( \overline{B} \cdot A \cdot C \)
4. OR Gate:
Final Output X = Sum of above two AND outputs:
\( X = A \cdot C \cdot \overline{D} + A \cdot C \cdot \overline{B} \)
Taking common terms:
\( X = AC\overline{D} + A\overline{B}C \)
Correct Answer:
\( \boxed{X = AC\overline{D} + A\overline{B}C} \)
Last updated on Jul 1, 2025
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