Sum of Product (SOP) or (AND-OR implementation): If a circuit is to be constructed, it makes sense to evaluate both forms so that the simplest one can be constructed. For circuits with more than two inputs, it may turn out that one form is simpler that the other. In this example, the POS and SOP forms are equally simple, but this is not always the case. This SOP relationship can be expressed in POS form as: As an example, consider the XOR relationship YSOP: The two forms are interchangeable, and one form can be transformed to the other following a few basic rules. Any logic system can be represented in two logically equivalent ways: as the OR’ing of AND’ed terms, known as the Sum of Products (SOP) form or as the AND’ing of OR’ed terms, known as the Product of Sums (POS) form. As it will be explained in this section, the two forms are equivalent ways of expressing a logic system however, some logic systems lend themselves to one rather than the other.Ī product term is defined as an AND relationship between any number of variables, and a sum term is defined as an OR relationship between any number of logic variables. Any logic system can be represented in one of these two logic ways. The terms “product” and “sum” have been borrowed from mathematics to describe AND and OR logic operations. By connecting logic gates together, a device can be constructed that can perform basic arithmetic functions.Īs I have already explained all the logic gates in detail in my previous article, so in this article we will only talk about the SOP and POS in digital logic designing. There are three basic kinds of logic gates, called “ and”, “ or”, and “ not”. The components of the gates pass or block a clock pulse as it travels through them, and the output bit of the gates control other gates or output the result. Which are made up of integrated circuits that receive an input signal, process it, and change it into an output signal. Computers perform calculations using components called logic gates. All digital computers are based on a two-valued logic system 1/0, ON/OFF, YES/NO. So, Logic Design is the basic organization of the circuitry of a digital computer. The logic gates which are combined for specific Boolean function is called logic design. I would appreciate your support in this way! I may make a commission if you buy the components through these links. Some of the most commonly used electronics components and tools available on Amazon and Banggood. Without any further delay let’s get started!!! If you want to learn about the Logic Gates in digital Electronics then I highly recommend read my previous article on Logic Gates in Digital Electronics Complete Guide.
We can use the deduced logic function in designing a logic circuit.
In other words, these are the ways to represent the deduced reduced logic function. The SOP (Sum of Product) and POS (Product of Sum) are the methods for deducing a particular logic function. We will discuss each one in detail and we will also solve some examples. Sop and Pos digital Logic designing- In this tutorial you will learn about the SOP “Sum of Product” and POS “Product of Sum” terms in detail. Sum of Product (SOP) or (AND-OR implementation):.
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