Canonical SOP Form with Examples

In this article, I will discuss the "canonical sum of products (SOP) form," which is one of the crucial aspects to consider whenever we discuss "digital electronics," by first providing a concise explanation of the topic and then presenting a pertinent illustration of its application. Let's not waste any more time and get right down to defining it.

What is the Canonical SOP Form?

A logical expression is only considered to be in canonical SOP form when each term contains all of the input variables. When we talk about terms, we mean product terms. Take, for instance, the function:

F(A,B,C) = ABC + A'B'C + A'BC'

are in canonical SOP form as the function has a total of three variables, and all the product terms contain three variables. Variables can be complemented or uncomplemented in this case.

Let's take a look at some of the applicable examples now so that we can get a better grasp on the subject of "canonical sum of product form."

Canonical SOP Form Example

Here is a list of some more examples of boolean expressions that are given in canonical SOP form:

F(A,B) = AB + A'B

As the above function is defined with two variables, and there are two variables available in all the product terms, the above boolean expression is given in canonical SOP form.

Here is another example:

F(A,B,C,D) = AB'C'D + A'BCD' + ABCD' + A'BCD + AB'C'D'

The above function has a total of 4 variables, and in all the product terms, there are 4 variables, therefore the boolean expression:

AB'C'D + A'BCD' + ABCD' + A'BCD + AB'C'D'

is also in canonical SOP form.

Another article that you might be interested in reading is the one that can be found here, which is also the one that is most pertinent to the subject of "Canonical SOP form." The canonical POS form.

And now, for your convenience, I have compiled a list of some of the most discussed topics that you might be curious to find out more about. These are the topics that are relevant to the ones that are discussed in this article:

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