Morgan's theorem: what it is, history, laws and applications
This is one of the most essential in the field of digital electronics. However, just because it is essential does not mean that it will be easy to understand. Therefore, here we tell you what the bases of this theorem are and we explain, as easily as possible, how it works. Sign up now for the postgraduate degree in programmable automation and focus your professional future towards the field of industrial automation. Know what morgan's theorem is index of contents what does morgan's theorem say? Origin of morgan's theorem what are morgan's 2 laws? Where do morgan's laws apply? What does morgan's theorem say? Morgan's theorem is a set of basic tools in the field of propositional logic and boolean algebra . Its practicality and success are based on its ability to simplify the so-called boolean expressions , but above all because they allow changing the conjunction operator to the disjunction operator and vice versa.These two constitute whatGreece Phone Number List we know as logical operators, both being very different. A logical conjunction is one that is true only if both operators are true. In other words: logical conjunction is a statement that contains two or more true elements simultaneously. To give an example: a lamp can light up if a series of elements come together, such as there being power, the switch working, the fuse being good and the bulb not blown. On the other hand, logical disjunction comprises only one element as true. An example could be found in language , when we are asked if we want a or b, or we are offered various options of which we can only choose one. Origin of morgan's theorem although it is currently applied in avant-garde and technological fields, morgan's theorem dates back to the time of aristotle .
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His reasoning about logic led him to establish a series of premises. These established the validity of an inference involving two logically equivalent propositions. His studies served as a basis, centuries later, for augustus de morgan to study his own contributions to propositional logic based on the postulates of george boole . This is how he ends up formulating what we know today as morgan's laws, which become part of the language inherent to the theory that encompasses logic. What are morgan's 2 laws? As we mentioned before, there are 2 laws that are part of morgan's theorem: morgan's first law : states that the complement of a product of “n” variables will be equal to the sum of the complements of “n” variables.
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