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  1. Karnaugh Maps (K-Map) | 1-6 Variables Simplificatio…

    Karnaugh map or K-map is a map of a function used in a technique used for minimization or simplification of a Boolean expression. It results in less number of logic gatesand inputs to be used during the fabrication. Booleans expression can be simplified using Boolean algebraic theorems but there are no specific rules to make the most simplified exp...

    Electrical Technology

    In Gray code, every two consecutive number has a difference of 1-bit. As the squares in K-map also differs from its adjacent square by 1-bit which is why the variables in K-map are written in grey code. The gray code ensures that each cell of K-map is in 1-bit difference with each other. 1. You may also read: Counter and Types of Electronic Counter...

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    2 variables have 2n = 22 = 4minterms. Therefore there are 4 cells (squares) in 2 variable K-map for each minterm. Consider variable A & B as two variables. The rows of the columns will be represented by variable B. The square facing the combination of the variable represents that min term as shown in fig below. Grouping in 2 variables K-map is easy...

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    3 variables make 2n=23=8min terms, so the Karnaugh map of 3 variables will have 8 squares(cells) as shown in the figure given below. 3 variable K-map can be in both forms. Note the combination of two variables in either form is written in Gray code. So the min terms will not be in a decimal order. The uppermost & lowermost cells are adjacent in the...

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    4 variables have2n=24=16minterms. So a 4-variable k-map will have 16 cells as shown in the figure given below. Each cell (min term) represent the variables in front of the corresponding row & column. The variables are in gray code (1-bit change). The four cells of the corner are adjacent to each other as there is a1-bit difference even if they are ...

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