Boolean Advanced Quiz 1

1. Which tabular algorithm is designed to optimize Boolean functions with large numbers of variables beyond the practical limits of Karnaugh maps?

2. In Boolean minimization algorithms, an implicant that cannot be covered by any more general (fewer literals) implicant is called what?

3. If a prime implicant contains at least one minterm that is not covered by any other prime implicant, it is classified as what?

4. Which heuristic logic minimizer is used in modern EDA software to find near-optimal algebraic reductions for dense programmable logic arrays?

5. A Boolean algebra can be mathematically defined as a complemented distributive what?

6. In a Boolean ring structure, which standard logical operator serves as the ring's addition operation?

7. In a Boolean ring structure, which standard logical operator serves as the ring's multiplication operation?

8. What directed acyclic graph data structure provides a canonical, compressed representation of a Boolean function for efficient software manipulation?

9. What is the standard algorithmic time complexity required to compute the exact minimum form of a generic Boolean function?

10. Which representation shows a Boolean function split explicitly using a single variable into two sub-functions: $x \cdot f_x \oplus \bar{x} \cdot f_{\bar{x}}$?