Input of F= ( A * (B(Compliment))) + C (Compliment)) XNOR ((A*B(compliment)CD(compliment)) OR (B * D(compliment))

To simplify the Boolean expression you provided:

\[
F = \left( A \cdot \overline{B} + \overline{C} \right) \; \text{XNOR} \; \left( (A \cdot \overline{B} \cdot C \cdot \overline{D}) + (B \cdot \overline{D}) \right)
\]

Let's break this down step by step:

1. **First term**: \( A \cdot \overline{B} + \overline{C} \)
   - This represents an OR between \( A \cdot \overline{B} \) and \( \overline{C} \).

2.

Explore the detailed step-by-step simplification of a complex Boolean expression involving XNOR operations, using concepts such as De Morgan's laws and distributive property. Learn how Boolean algebra simplifies logic circuits in fields like computer science and electrical engineering.

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