- Digital Electronics Course
- Digital Electronics Tutorial
- Logic Gates
- NAND NOR as a Universal Gate
- Boolean Algebra
- Proof of Theorems and Postulates
- De-Morgan's Theorems
- Duality Principle
- Sum of Products (SOP)
- Product of Sum (POS)
- Canonical SOP Form
- Canonical POS Form
- SOP to Standard SOP
- POS to Standard POS
- Standard SOP to Minimal SOP
- Standard POS to Minimal POS
- Computer Programming
- C# Tutorial
- Python Tutorial
- Python Keywords
- Python Built-in Functions
- Python Examples
- C Tutorial
- C Examples
- C++ Tutorial
- C++ Examples
- Java Tutorial
- Java Examples
- PHP Tutorial
- Web Development
- HTML Tutorial
- CSS Tutorial
- JavaScript Tutorial
- JavaScript Examples
- SQL Tutorial
- Examples
- Python Examples
- C Examples
- C++ Examples
- Java Examples
- JavaScript Examples
- Give Online Test
- List of All Tests

# Convert Standard SOP to Minimal SOP form

In this tutorial, you will learn how to convert any boolean expression given to you in standard or canonical Sum of Products (SOP) form to minimal Sum of Products (SOP) form.

However, before we get started, here is a list of two articles that are connected to this post and should be read in conjunction with it. You might be interested in reading the following articles:

The minimal SOP form contains the shortest product term (with the fewest literals) and provides the same comprehensive information as the standard SOP form.

Let's take a look at an example that demonstrates how the standard SOP form can be converted into the minimal SOP form. The following is the form of the given boolean expression using the standard SOP notation:

A'BC' + AB'C' + AB'C + ABC' + ABC

Now let's convert it into minimal SOP form:

F = A'BC' + AB'C' + AB'C + ABC' + ABC = A'BC' + AB'(C+C') + AB(C+C') [∵ ABC + ABD = AB(C+D)] = A'BC' + AB' + AB [∵ A'+A = 1] = A'BC' + A(B'+B) = A'BC' + A

Let **BC'** be X. Therefore, the equation becomes,

= A'X + A = A + A'X [∵ A+B=B+A] = A + X [∵ A+A'B=A+B]

Now, putting the value of X in the above equation, we get,

= A + BC'

And this is the final SOP form, which is called the minimal SOP form. The complete function is written as,

F = A + BC'

Another article that you could find interesting to read is as follows: Standard POS to Minimal POS. This article can also be found in an upcoming post.

That sums it up nicely. Please do not hesitate to get in touch with us through any of the social media links on our website or through our direct email address if you have any questions or comments regarding this or any other posts or articles. You can find our email addresses and social media handles by clicking the "Contact Us" link that is located at the very bottom of this page. Many thanks, and best wishes for a wonderful day!

« Previous Tutorial Next Tutorial »

Follow/Like Us on Facebook

Subscribe Us on YouTube