Sum of product (SOP) and product of sum (POS) form expression for Boolean function | minterm/maxterm
Understand the Problem
The question is asking for the expressions of a Boolean function in terms of Sum of Products (SOP) and Product of Sums (POS) forms, as well as how to represent this using minterms and maxterms. SOP involves expressing the function as a sum of its true outputs (minterms), while POS involves expressing it as a product of its false outputs (maxterms).
Answer
SOP is a sum of minterms; POS is a product of maxterms.
In Boolean algebra, the SOP form is a sum of product terms, each representing a minterm, while the POS form is a product of sum terms, each representing a maxterm.
Answer for screen readers
In Boolean algebra, the SOP form is a sum of product terms, each representing a minterm, while the POS form is a product of sum terms, each representing a maxterm.
More Information
The SOP (Sum of Products) form is useful in digital circuit design because it directly corresponds to the truth table of the function. POS (Product of Sums) is often used when designing with NOR gates.
Tips
A common mistake is confusing for which form minterms and maxterms are used. Remember, SOP uses minterms, and POS uses maxterms.
Sources
- Sum Of Product (SOP) & Product Of Sum (POS) - Boolean Algebra - electricaltechnology.org
- Canonical and Standard Form - GeeksforGeeks - geeksforgeeks.org
