# Çarpımın Toplamı / Sum of Product

Boolean alms is a simple and effective way to represent the switching action of standard logic gates. A set of rules or laws has been invented to help reduce the number of logical gates required to perform a specific logical operation. That's where the boolean alms comes in handy. In mathematics, as we know, the number or quantity obtained by multiplying two (or more) numbers together is called a product. For example, if we multiply the number 2 by 3, the resulting answer is 6, since 2 * 3 = 6, therefore there will be the product number " 6 ".In Boolean Alrre, the product of two integers is logical and equivalent to processing

**Table of contents**göster

## AND DOOR (Multiplication)

In classical mathematics, as we all know, a diagonal (x) or an asterisk (*) is used to represent an impact action. However, in the boolean product, the AND function is represented by a single "period" (.). Therefore, the Boolean equation for the 2-Entry and door is given as follows: "Q = A . B". For a product term, these input variables can be "true" or "false,"" "1" or "0."

### Boolean Al-Jagger Product Terms

Note that a Boolean "variable" can have one of two values, "1" or "0", and change its value. For example, a Boolean "constant", which can also be "1" or "0" when a = 0 or a = 1, is a constant value and therefore cannot be changed.

## OR Gate (Total)

Because an OR function produces the total term of two or more input variables or constants, it is often known as the Boolean insertion process.

## Sum of Product

We found that the AND function (boolean product) produced its logical product, and the OR function (Boolean insertion) produced the logical sum. These expressions come across a lot when dealing with complicated logistics circuits. The sum of the product expression comes from the collection of two or more products (and). This is two or more exits, and the doors are connected to the entrance of an OR door. For example, the following Boolean function is a typical product total expression:

## Display of Product Total with Logistics Doors

In this article we learned that the phrase (SOP) is a standard Boolean phrase that "collects" two or more "products". In addition, for a digital logic circuit, we found that the SOP expression outputs two or more logical AND gates.