Showing posts with label K-Map. Show all posts
Showing posts with label K-Map. Show all posts

Monday, 26 November 2012

Example of 4 Variable K-Map|Don't Care Condition.


Now I discuss Karnaugh Map of 4 variables(5 is also possible) and also its Don't Care Condition.

Syntax of 4 Variable K-Map:-



Q)Z=Σ(0,1,3,5,10,11,12,13,15)...SOP

                                  y=a'b'c'+a'b'd+bc'd+abc'+acd+ab'c

Q)Z=Σ(0,2,5,8,7,10,13,15)


                                        y=bd+b'd'(XOR)

Q)Z=Σ(4,1,9,6,12,14,11)


                                      y=bd'+ab'd+a'b'd

Q)S=Π(1,5,7,3,7,13,15)..POS


                                       y=(a'+d').(b'+d')

Don't Care Condition(K-Map):-We use Don't care condition in K-Map because to make a group of 2 variable.

y=Σ(0,1,3,5,9,12)+Σd(2,4,6,7)


                                         y=a'+bc'd'+b'c'd


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Related Posts:-

1)What is K-Map|Example of 2 variable K-Map.
2)Example of 3 variable K-Map.

Example of 3 variable K-Map


Now I discuss the K-Map( Karnaugh Map) through 3 Variables.

Syntax of 3 variable K-Map:-


Examples of 3 variable k-map:-

Q)y=a'b'c+ab'c'


                                                 y=b'c'

Q) y=a'b'c'+a'bc'+ab'c'+abc'


                                                  y=c'

Q)y=abc+abc'+ab'c+ab'c'+a'b'c

                                              y=a+bc'

Q)y=ab'+bc+a'c

                                             y=ac'+a'b'c



If you have any query then leave your comments and don't forgot to follow me on Google+,Facebook,Twitter.

Related Posts:-

1)What is K-Map|Example of 2 variable K-Map.
2)Example of 4 Variable K-Map|Don't Care Condition.

What is K-Map|Example of 2 variable K-Map


K-Map stands for Karnaugh Map.It is the graphical representation of given expression(Used for simplification of Boolean Algebra).We can construct K-Map using 2 variable,3 variable..so on.

Syntax of 2 variable K-Map:-



Examples of 2 variable k-map:-

Q)y=a'b+ab'+ab



So answer will be y=a+b.

Q)y=a'b'+a'b



So answer will be y=a'.

Q)y=ab'+ab



So answer will be y=a.

Q)y=ab+a'b+a'b'



So answer will be y=a'+b.


If you have any query then leave your comments and don't forgot to follow me on Google+,Facebook,Twitter.


Related Posts:-

1)Example of 3 variable K-Map.
2)Example of 4 Variable K-Map|Don't Care Condition.