# What is product of sum in Boolean algebra?

## What is product of sum in Boolean algebra?

Product of Sum expressions are Boolean expressions made up of sums consisting of one or more variables, either in its normal true form or complemented form or combinations of both, which are then AND’ed together. …

## What is the difference between sum of product AND product of sum?

3. What is the difference between the sum of product SOP and product of sum POS? The difference between the two expressions lies in the product and sum of their inputs. These two are a complement to each other where logical AND in one form is represented as logical OR and vice-versa.

What is sum of product definition?

The Sum of Product (SOP) expression comes from the fact that two or more products (AND) are summed (OR) together. That is the outputs from two or more AND gates are connected to the input of an OR gate so that they are effectively OR’ed together to create the final AND-OR logical output.

### Which is the sum of product form in Boolean algebra?

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.

### Which is an example of a product of sums?

Product of Sums (POS) A boolean expression consisting purely of Maxterms (sum terms) is said to be in canonical product of sums form. Example Lets say, we have a boolean function F defined on two variables A and B. So, A and B are the inputs for F and lets say, output of F is true i.e., F = 1 when only one of the input is true or 1.

When is a Boolean expression a canonical product of sums?

If the variable is 1 then it is taken “as is” and if the variable is 0 then we take its “complement”. A boolean expression consisting purely of Maxterms (sum terms) is said to be in canonical product of sums form. Lets say, we have a boolean function F defined on two variables A and B.

## How is the sum of product ( SOP ) expression converted?

The process of converting shorthand notation to SOP is the reverse process of converting SOP expression to shorthand notation. Let’s see an example to understand this conversion. Let us assume that we have a boolean function F, which defined on two variables X and Y.