Four-Variable K-Map: Three Overlapping Prime Implicants Where One Is Redundant
Logic synthesis tools routinely eliminate redundant logic terms to minimize gate count and reduce propagation delay.
The Karnaugh map below represents a four-variable Boolean function F with inputs A, B, C, and D. The active minterms are m4, m5, m6, m7, m10, m11, m14, and m15. All other minterms evaluate to 0.
Identify all prime implicants and determine the minimal sum-of-products expression for F.
Constraints
- Standard Boolean minimization rules apply.
- The minimal sum-of-products expression must contain the fewest possible product terms and literals.
- Variables are ordered
A,B,C,DwhereAis the most significant bit.
Topics
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