Truth Table to Canonical SOP
Digital synthesis tools convert behavioral descriptions into Boolean equations to map logic onto physical gates. The truth table below defines a 3-variable logic function with inputs A, B, and C, and output F.
| A | B | C | F | |---|---|---|---| | 0 | 0 | 0 | 1 | | 0 | 0 | 1 | 0 | | 0 | 1 | 0 | 1 | | 0 | 1 | 1 | 0 | | 1 | 0 | 0 | 0 | | 1 | 0 | 1 | 1 | | 1 | 1 | 0 | 1 | | 1 | 1 | 1 | 1 |
Identify the active minterms and derive the canonical sum-of-products expression for F.
Constraints
- The variables must be evaluated in the order
A(MSB),B,C(LSB). - A minterm includes all input variables exactly once.
- A canonical Sum of Products (SOP) expression contains no simplified terms.
Topics
Solve this problem
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