Three-Variable K-Map with a Left-Right Edge Wrapping Group
Logic synthesis tools rely on logical adjacency to minimize gate counts and reduce propagation delay in silicon.
The Karnaugh map provided displays a three-variable Boolean function Y using input A for rows and BC for columns. Minterms are present at locations 000, 010, and 011. All other cells contain zeros.
Identify the optimal groupings to produce the minimal Sum-of-Products expression for Y. Determine how column adjacency across the map boundaries affects the literal count of the final expression.
Constraints
- Standard Gray code ordering applies to the columns: 00, 01, 11, 10.
- The final expression must be in minimal Sum-of-Products form.
- Variables must be written in alphabetical order within each term.
Topics
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