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4 - variable Karnaugh map (K-map)

Truth Table

4 variable K– map for the truth -table above.

 

K-map location Number

 

 

x

 

 

y

 

 

z

 

 

w

 

 

Output Function

 

 

0

 

 

0

 

 

0

 

 

0

 

 

0

 

 

x’y’z’w’

 

 

1

 

 

0

 

 

0

 

 

0

 

 

1

 

 

x’y’z’w

 

 

2

 

 

0

 

 

0

 

 

1

 

 

0

 

 

x’y’zw’

 

 

3

 

 

0

 

 

0

 

 

1

 

 

1

 

 

x’y’zw

 

 

4

 

 

0

 

 

1

 

 

0

 

 

0

 

 

X’yz’w’

 

 

5

 

 

0

 

 

1

 

 

0

 

 

1

 

 

x’yz’w

 

 

6

 

 

0

 

 

1

 

 

1

 

 

0

 

 

x’yzw’

 

 

7

 

 

0

 

 

1

 

 

1

 

 

1

 

 

x’yzw

 

 

8

 

 

1

 

 

0

 

 

0

 

 

0

 

 

xy’z’w’

 

 

9

 

 

1

 

 

0

 

 

0

 

 

1

 

 

xy’z’w

 

 

10

 

 

1

 

 

0

 

 

1

 

 

0

 

 

xy’zw’

 

 

11

 

 

1

 

 

0

 

 

1

 

 

1

 

 

xy’zw

 

 

12

 

 

1

 

 

1

 

 

0

 

 

0

 

 

xyz’w’

 

 

13

 

 

1

 

 

1

 

 

0

 

 

1

 

 

xyz’w

 

 

14

 

 

1

 

 

1

 

 

1

 

 

0

 

 

xyzw’

 

 

15

 

 

1

 

 

1

 

 

1

 

 

1

 

 

xyzw

 

00

01

11

10

 

3

 

 

2

 

xy

zw

00

01

11

10

 

4

 

 

5

 

 

7

 

 

6

 

 

12

 

 

13

 

 

15

 

 

14

 

 

8

 

 

9

 

 

10

 

 

11

 

 

0

 

 

1

 

Binary Numbers 1s_complement 2s_complement Binary Subtraction Binary Sub. Ex's Sign_magnitude SignM EX Gray Coding BCD coding Digital gates NAND NOR & XNOR Theorems Boolean Functions BFunc Examples Minterm Maxterm Sum of Minterms Prdt of Maxterms 2 var K-map 3 var K-map 4 var K-map 5 var K-map Prime Implicant PI example
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