Four-Variable K-Map: Reconstruct the Truth Table from a Given Minimal SOP
Hardware verification often requires working backward from an optimized netlist to prove equivalence against the original specification.
A logic synthesizer produces the minimal Sum-of-Products (SOP) expression F = A'B + BC'D + AB'CD. The inputs are A, B, C, and D, ordered from most significant bit to least significant bit.
Expand this minimal expression into its canonical minterm list. Identify which specific input combinations satisfy each product term and resolve any overlaps to reconstruct the complete truth table.
Constraints
- Minterms are numbered 0 through 15 based on the binary value of
ABCD. - Overlapping minterms must only be counted once in the final truth table.
- Assume standard positive logic where an unprimed variable represents a 1 and a primed variable represents a 0.
Topics
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