Transistor theory
This version of Karnaugh maps is closely related to the concept of transistor theory, which presents the equivalent circuit as a single transistor connected to two voltage sources.
History
Originally created in 1949, the Karnaugh map is named after American electrical engineer Robert C. Karnaugh. This map was first published in his 1949 paper "VLSI standard technology maps for layout synthesis", along with a "Standard set of MSOFT maps for layout synthesis", "Standard set of MAPS for layout synthesis", and "Karnaugh-map equivalence for VLSI". In 1969, American electrical engineer Paul P. Ungar added some control rules, named them the "fractal" Karnaugh map, and published them in his 1969 paper "A model for large-scale integration (LSI) technology".
Pipkin and Rosenberg included the Karnaugh map in their widely used textbook Electrical Engineering, Volume I: Fundamentals in 1984. The map was also included in the text Computer Integrated Electronics by Peter R. Chapman in 1985 and in a 1998 reissue of the book.
Applications
The Karnaugh map is commonly used to solve combinational design problems by converting a circuit's combinational logic expression into a linear algebraic formulation, which is then converted into a more explicit algebraic formulation, such as a matrix representation, by applying the constraint rules of the Karnaugh map.
It is also used for simplifying VLSI circuits. Its main use is for the design of logic blocks, which is the conversion of a schematic representation to a functional representation, as a design step.
See also
Karnaugh map
Hennessy–Patterson notation
Spatial parity
Spatial parity map
References
Further reading
External links
Karnaugh map VLSI Logic Synthesis Toolbox
Interactive Karnaugh Map Explainer
HyperNumerics Karnaugh map in VHDL
Karnaugh Map Interactive in Matlab
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Hangman: Adding a feature that allows for guessing
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