Medium
EST. TIME: 45 minCombinational Logic Design (SOP & POS)
To design combinational logic circuits in SOP and POS forms and verify their truth tables.
Theory
Canonical Forms: Boolean functions can be expressed in standard forms.
- SOP (Sum of Products): OR of AND terms (Minterms). Implemented using AND-OR logic or NAND-NAND logic.
- POS (Product of Sums): AND of OR terms (Maxterms). Implemented using OR-AND logic or NOR-NOR logic.
Procedure
- Derive the boolean expression from the given truth table or problem statement.
- Simplify using K-Map if necessary.
- Implement the circuit using basic gates (AND, OR, NOT) or Universal Gates (NAND/NOR).
- Verify the output against the truth table.