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Karnaugh Maps
With the Karnaugh map Boolean expressions having up to four and even six variables can be simplified. So what is a Karnaugh map? A Karnaugh map provides a pictorial method of grouping together expressions with common factors and therefore eliminating unwanted variables.
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Try it yourself: Simulator > Online Karnaugh Map
Karnaugh maps are used to simplify real-world logic requirements so that they can be implemented using a minimum number of physical logic gates. A sum-of-products expression can always be implemented using AND gates feeding into an OR gate, and a product-of-sums expression leads to OR gates feeding an AND gate.