Expand Non-Canonical SOP to Canonical Form
Standardizing logic expressions into canonical form is a strict prerequisite for automated logic minimization algorithms and Karnaugh map simplification.
The expression provided is F = AB + C. This sum-of-products expression is not in canonical form because neither term contains all three variables A, B, and C.
Expand the expression into a canonical sum of minterms. Identify the missing variables in each product term and multiply by the appropriate Boolean identity (x + x') to introduce them. Collect all resulting terms and determine the final minterm list.
Constraints
- The domain of the function is exactly three variables:
A(MSB),B, andC(LSB). - Minterm indices follow standard binary weighting where
Ahas a weight of 4,Bhas a weight of 2, andChas a weight of 1.
Topics
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