K Map 4 Variables

The number of cells in the k map is determined by the number of input variables and is mathematically expressed as two raised to the power of the number of input variables ie 2 n where the number of input variables is n. So a 4 variable k map will have 16 cells as shown in the figure given below.

The K Map Ppt Download

Thus to simplify a logical expression with two inputs we require a k map with 4 2 2 cells.

K map 4 variables. It can be observed that both the columns and rows of 10 and 11 are interchanged. Karnaugh map tutorial for a four variable truth table. Kmap with dont cares sop kmap without dont cares sop.

P terms in 4 variable k maps the boolean expression below has nine p terms three of which have three booleans instead of four. A typical 4 variable k map plot is shown below. The difference is that while four boolean variable product terms cover one cell the three boolean p terms cover a pair of cells each.

4 variables karnaughs map often known as 4 variables k map. The possible number of cells that can be grouped together are 1 2 4 8 and 16. We can minimize boolean expressions of 3 4 variables very easily using k map without using any boolean algebra theorems.

K map is table like representation but it gives more information than truth table. K map can take two forms sum of product sop and product of sum pos according to the need of problem. This video takes you from a truth table creates and fills in the karnaugh map and explains how to obtain the most simplified boolean.

4 variables have 2 n 2 4 16 minterms. Its an alternate method to solve or minimize the boolean expressions based on and or not gates logical expressions or truth tables. Its an alternate method to solve or minimize the boolean expressions based on and or not gates logical expressions or truth tables.

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