Explain about quine mckluskey method, Computer Engineering

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Q. Explain about Quine McKluskey Method?

A tabular method was proposed to deal with increasing number of variables called Quine McKluskey Method. This method is appropriate for programming and therefore provides a tool for automating design in form of minimizing Boolean expression. 

The fundamental standard behind Quine McKluskey Method is to remove terms that are redundant and can be attained by other terms.

To understand Quine - Mc Kluskey method lets see subsequent illustration:-

2078_Explain about Quine McKluskey Method.png

Step I:   Terms of function are placed in table as below:

1172_Explain about Quine McKluskey Method1.png

Step II :   Forming pairs that differ in just one variable also put check (v) against terms selected and finding resultant terms as below :-

862_Explain about Quine McKluskey Method2.png

In the new terms, again find all terms that differ only in one variable as well as put a check (?) across those terms it implies that

370_Explain about Quine McKluskey Method3.png

Step III:   Now, constructing final table as: 

1279_Explain about Quine McKluskey Method4.png

So all columns have mark 'X'. So ultimate expression is: 

F (A,B,C,D,E)  =  ABCE + A¯C DE¯   +  B¯C¯E


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