# What is the sum of products form?

## What is the sum of products form?

Sum of product form is a form of expression in Boolean algebra in which different product terms of inputs are being summed together. This product is not arithmetical multiply but it is Boolean logical AND and the Sum is Boolean logical OR. To understand better about SOP, we need to know about min term.

## What is product of sums and sum of products?

Sum of Products and Product of Sums. The different forms of canonical expression which includes the sum of products (SOP) and products of the sum (POS), The canonical expression can be defined as a Boolean expression which has either min term otherwise max term.

**How do you write a sum of products from a truth table?**

The truth table has two rows in which the output is FALSE. Hence, the function can be written in product-of-sums form as Y = ( A + B ) ( A ¯ + B ) or, using pi notation, Y = Π ( M 0 , M 2 ) or Y = Π ( 0 , 2 ) . The first maxterm, (A + B), guarantees that Y = 0 for A = 0, B = 0, because any value AND 0 is 0.

**What is SOP AND POS form?**

We can standardize the Boolean expressions by using by two standard forms. SOP form – Sum Of Products form. POS form – Product Of Sums form.

### What is sum of product canonical form?

Canonical SoP form means Canonical Sum of Products form. In this form, each product term contains all literals. So, these product terms are nothing but the min terms. Hence, canonical SoP form is also called as sum of min terms form.

### What is the difference between SOP AND POS form?

They are as follows: Sum of Products (SOP) form. Product of Sums (POS) form….Difference between SOP and POS :

S.No. | SOP | POS |
---|---|---|

2. | SOP uses minterms. Minterm is product of boolean variables either in normal form or complemented form. | POS uses maxterms. Maxterm is sum of boolean variables either in normal form or complemented form. |

**What is a SOP form?**

The sum-of-products (SOP) form is a method (or form) of simplifying the Boolean expressions of logic gates. In this SOP form of Boolean function representation, the variables are operated by AND (product) to form a product term and all these product terms are ORed (summed or added) together to get the final function.

**What is standard SOP form?**

Standard SoP form means Standard Sum of Products form. In this form, each product term need not contain all literals. So, the product terms may or may not be the min terms. Therefore, the Standard SoP form is the simplified form of canonical SoP form. We will get Standard SoP form of output variable in two steps.

## Why do we use SOP and POS forms?

The SOP (Sum of Product) and POS (Product of Sum) are the methods for deducing a particular logic function. In other words, these are the ways to represent the deduced reduced logic function. We can use the deduced logic function in designing a logic circuit.