Karnaugh Maps / Tables 
The Karnaugh map, also known as a Veitch diagram (KVmap or Kmap for short), is a tool to facilitate the
simplification of Boolean algebra integrated circuit expressions. The Karnaugh map reduces the need for extensive
calculations by taking advantage of human patternrecognition and permitting the rapid identification and
elimination of potential race hazards.
The Karnaugh map was invented in 1952 by Edward W. Veitch. It was
further developed in 1953 by Maurice Karnaugh, a physicist at Bell Labs, to help simplify digital electronic
circuits.
In a Karnaugh map the boolean variables are transferred (generally from a truth table) and
ordered according to the principles of Gray code in which only one variable changes in between squares. Once the
table is generated and the output possibilities are transcribed, the data is arranged into the largest even group
possible and the minterm is generated through the axiom laws of boolean algebra.
 Wikipedia
Karnaugh Map (also known as the Veitch Diagram) reduction was developed as a graphic
method of minimizing Boolean function. The 4variable Karnaugh Map reduction shown here applies to any size map.
F(w,x,y,z) = ∑(0,1,2,4,5,6,8,9,12,13,14) =
y+w·z+x·z
Minterms must be boxed in the smallest number of groups which results in all minterms being enclosed. 

Note that w,x,y,z terms (and their compliments) are arranged in positions corresponding to the
axis labels. One unique minterm exists in each square. 










Copyright: 1996  2024 Webmaster:
Kirt Blattenberger, BSEE  KB3UON 
RF Cafe began life in 1996 as "RF Tools" in an AOL screen name web space totaling
2 MB. Its primary purpose was to provide me with ready access to commonly needed formulas
and reference material while performing my work as an RF system and circuit design engineer.
The Internet was still largely an unknown entity at the time and not much was available
in the form of WYSIWYG
...
All trademarks, copyrights, patents, and other rights of ownership to images and text
used on the RF Cafe website are hereby acknowledged.
My Hobby Website: AirplanesAndRockets.com

