The karnaugh map km or kmap is a method of simplifying boolean algebra expressions. Larger 4variable karnaugh maps chapter 8 karnaugh mapping pdf version. How to simplify 4 variable boolean expression very easy youtube. Knowing how to generate gray code should allow us to build larger maps. A is the most significant bit msb and b is the least significant bit lsb in the logical. The product such as xy is an and gate for the two inputs x and y. However, the real challenge is 5 and 6 variable kmaps. When the number of variables increases, the number of the square cells increases. Maurice karnaugh introduced it in 1953 as a refinement of edward veitchs 1952 veitch chart, which actually was a rediscovery of allan marquands 1881 logical diagram aka marquand diagram but with a focus now set on its utility for switching circuits. Kmap is used for minimization or simplification of a boolean expression. To minimize an expression with more than a handful of variables, tools like espresso or boom are available for free. A karnaugh map is a pictorial method of grouping together expressions with common factors and then eliminating unwanted variables. This package draws karnaugh maps with 2, 3, 4, 5, and 6 variables. Diseno combinacional mapas k jose angel perez martinez j.