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SCRUMble ! - New Book about SCRUM

 SCRUMble ! Hello Blog Readers! Thank you for all your support and encouragement. I have something exciting for you all. I have recently written and published a new book called 'SCRUMble !'. It is currently available on pothi store. It will be soon available on Amazon and Flipkart as well. Please get your copy and do let me know your reviews. -Abhishek Sathe SCRUMble ! Written and Published by: Abhishek Sathe                                                                              Distributed by: pothi.com Order your copy now:  https://store.pothi.com/book/abhishek-sathe-scrumble/ Coming soon on Amazon and Flipkart About the book: Scrum is a framework for solving complex problems largely adapted by Software Development field. There are multiple ag...

Karnaugh Maps

Karnaugh map is a method to simplify Boolean algebra expressions. It was introduced it in 1953 by Maurice Karnaugh at Bell Labs. It can also be described as a special arrangement of truth tables.

Consider the following Truth Table:



A
B
Output
0
0
P
0
1
Q
1
0
R
1
1
S


  It can be mapped to a K-map as:



                                               A B                
0
1
0
P
Q
1
R
S
 


Example:

Consider the following map. The function plotted is: Z = f(A,B) = A + AB





Pairs of 1 are grouped together as shown in the figure as groups of one,two,four or eight. Each group corresponds to the product of minterms. Then simplification rules are applied to these product of minterms to minimize the simplified expressions.

Using algebraic simplification rules,






Z = A + AB
Z = A( + B)




Z=A is the simplified expression.







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