8 - Karnaugh Mapping

Introduction to Karnaugh Mapping

Introduction to Karnaugh Mapping

Why learn about Karnaugh maps? The Karnaugh map, like Boolean algebra, is a simplification tool applicable to digital logic. See the “Toxic…

4 years ago

Venn Diagrams and Sets

Mathematicians use Venn diagrams to show the logical relationships of sets (collections of objects) to one another. Perhaps you have already seen Venn diagrams…

4 years ago

Making a Venn Diagram Look Like a Karnaugh Map

Starting with circle A in a rectangular A’ universe in figure (a) below, we morph a Venn diagram into almost a Karnaugh map. We…

4 years ago

Logic Simplification With Karnaugh Maps

The logic simplification examples that we have done so could have been performed with Boolean algebra about as quickly. Real…

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Larger 4-variable Karnaugh Maps

Knowing how to generate Gray code should allow us to build larger maps. Actually, all we need to do is…

4 years ago

Minterm versus Maxterm Solution

So far we have been finding Sum-Of-Product (SOP) solutions to logic reduction problems. For each of these SOP solutions, there…

4 years ago

Don’t Care Cells in the Karnaugh Map

Up to this point we have considered logic reduction problems where the input conditions were completely specified. That is, a…

4 years ago

Boolean Relationships on Venn Diagrams

The fourth example has A partially overlapping B. Though, we will first look at the whole of all hatched area below, then later…

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Karnaugh Maps, Truth Tables, and Boolean Expressions

Maurice Karnaugh, a telecommunications engineer, developed the Karnaugh map at Bell Labs in 1953 while designing digital logic based telephone…

4 years ago

Sum and Product Notation

For reference, this section introduces the terminology used in some texts to describe the minterms and maxterms assigned to a…

4 years ago