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Karnaugh Maps
Karnaugh Map
D
C
B
A
Karnaugh Map
D
C
B
A
Karnaugh Map
D
C
B
A
Karnaugh Map
1010 1011 0011 0010
11111110 0111
0101 0100
0110
1100
1000 1001 0001 0000
1101
D
C
B
A
Karnaugh Map
1010 1011 0011 0010
11111110 0111
0101 0100
0110
1100
1000 1001 0001 0000
1101
D
C
B
A
A B C D X
0 0 0 0 1
0 0 0 1 0
0 0 1 0 0
0 0 1 1 0
0 1 0 0 1
0 1 0 1 1
0 1 1 0 0
0 1 1 1 0
1 0 0 0 0
1 0 0 1 1
1 0 1 0 0
1 ...
A B C D X
0 0 0 0 1
0 0 0 1 0
0 0 1 0 0
0 0 1 1 0
0 1 0 0 1
0 1 0 1 1
0 1 1 0 0
0 1 1 1 0
1 0 0 0 0
1 0 0 1 1
1 0 1 0 0
1 ...
A B C D X
0 0 0 0 1
0 0 0 1 0
0 0 1 0 0
0 0 1 1 0
0 1 0 0 1
0 1 0 1 1
0 1 1 0 0
0 1 1 1 0
1 0 0 0 0
1 0 0 1 1
1 0 1 0 0
1 ...
A B C D X
0 0 0 0 1
0 0 0 1 0
0 0 1 0 0
0 0 1 1 0
0 1 0 0 1
0 1 0 1 1
0 1 1 0 0
0 1 1 1 0
1 0 0 0 0
1 0 0 1 1
1 0 1 0 0
1 ...
1 1
1
0100
1
1010 1011 0011 0010
11111110 0111
0101
0110
1100
1000 1001 0001 0000
1101
0 0 0 0
00 0 0
0
0 0
0
A B C D X
0 ...
1
1
0100
1
1
1010 1011 0011 0010
11111110 0111
0101
0110
1100
1000 1001 0001 0000
1101
0 0 0 0
00 0 0
0
0 0
0
A B C D X
0 ...
1
1
0100
1
1
1010 1011 0011 0010
11111110 0111
0101
0110
1100
1000 1001 0001 0000
1101
0 0 0 0
00 0 0
0
0 0
0
A B C D X
0 ...
1
1
0100
1
1
1010 1011 0011 0010
11111110 0111
0101
0110
1100
1000 1001 0001 0000
1101
0 0 0 0
00 0 0
0
0 0
0
Example
D
C
...
1010 1011 0011 0010
11111110 0111
0101 0100
0110
1100
1000 1001 0001 0000
1101
Example II
D
C
B
A
1 1
1 1
1
1
1
1 1 1
A B ...
Conclusion
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Karnaugh Maps

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Karnaugh Maps

  1. 1. Karnaugh Maps
  2. 2. Karnaugh Map D C B A
  3. 3. Karnaugh Map D C B A
  4. 4. Karnaugh Map D C B A
  5. 5. Karnaugh Map 1010 1011 0011 0010 11111110 0111 0101 0100 0110 1100 1000 1001 0001 0000 1101 D C B A
  6. 6. Karnaugh Map 1010 1011 0011 0010 11111110 0111 0101 0100 0110 1100 1000 1001 0001 0000 1101 D C B A
  7. 7. A B C D X 0 0 0 0 1 0 0 0 1 0 0 0 1 0 0 0 0 1 1 0 0 1 0 0 1 0 1 0 1 1 0 1 1 0 0 0 1 1 1 0 1 0 0 0 0 1 0 0 1 1 1 0 1 0 0 1 0 1 1 0 1 1 0 0 0 1 1 0 1 0 1 1 1 0 0 1 1 1 1 0 Example 1010 1011 0011 0010 11111110 0111 0101 0100 0110 1100 1000 1001 0001 0000 1101 D C B A
  8. 8. A B C D X 0 0 0 0 1 0 0 0 1 0 0 0 1 0 0 0 0 1 1 0 0 1 0 0 1 0 1 0 1 1 0 1 1 0 0 0 1 1 1 0 1 0 0 0 0 1 0 0 1 1 1 0 1 0 0 1 0 1 1 0 1 1 0 0 0 1 1 0 1 0 1 1 1 0 0 1 1 1 1 0 Example 1010 1011 0011 0010 11111110 0111 0101 0100 0110 1100 1000 1001 0001 0000 1101 D C B A 1
  9. 9. A B C D X 0 0 0 0 1 0 0 0 1 0 0 0 1 0 0 0 0 1 1 0 0 1 0 0 1 0 1 0 1 1 0 1 1 0 0 0 1 1 1 0 1 0 0 0 0 1 0 0 1 1 1 0 1 0 0 1 0 1 1 0 1 1 0 0 0 1 1 0 1 0 1 1 1 0 0 1 1 1 1 0 Example 1010 1011 0011 0010 11101101 0111 0101 0100 0110 1100 1000 1001 0001 0000 1101 D C B A 1 1 1 1
  10. 10. A B C D X 0 0 0 0 1 0 0 0 1 0 0 0 1 0 0 0 0 1 1 0 0 1 0 0 1 0 1 0 1 1 0 1 1 0 0 0 1 1 1 0 1 0 0 0 0 1 0 0 1 1 1 0 1 0 0 1 0 1 1 0 1 1 0 0 0 1 1 0 1 0 1 1 1 0 0 1 1 1 1 0 Example 1010 1011 0011 0010 11111110 0111 0101 0100 0110 1100 1000 1001 0001 0000 1101 D C B A 0 0 0 0 00 0 1 1 0 0 0 1 0 1 0
  11. 11. 1 1 1 0100 1 1010 1011 0011 0010 11111110 0111 0101 0110 1100 1000 1001 0001 0000 1101 0 0 0 0 00 0 0 0 0 0 0 A B C D X 0 0 0 0 1 0 0 0 1 0 0 0 1 0 0 0 0 1 1 0 0 1 0 0 1 0 1 0 1 1 0 1 1 0 0 0 1 1 1 0 1 0 0 0 0 1 0 0 1 1 1 0 1 0 0 1 0 1 1 0 1 1 0 0 0 1 1 0 1 0 1 1 1 0 0 1 1 1 1 0 Example D C B A
  12. 12. 1 1 0100 1 1 1010 1011 0011 0010 11111110 0111 0101 0110 1100 1000 1001 0001 0000 1101 0 0 0 0 00 0 0 0 0 0 0 A B C D X 0 0 0 0 1 0 0 0 1 0 0 0 1 0 0 0 0 1 1 0 0 1 0 0 1 0 1 0 1 1 0 1 1 0 0 0 1 1 1 0 1 0 0 0 0 1 0 0 1 1 1 0 1 0 0 1 0 1 1 0 1 1 0 0 0 1 1 0 1 0 1 1 1 0 0 1 1 1 1 0 Example D C B A
  13. 13. 1 1 0100 1 1 1010 1011 0011 0010 11111110 0111 0101 0110 1100 1000 1001 0001 0000 1101 0 0 0 0 00 0 0 0 0 0 0 A B C D X 0 0 0 0 1 0 0 0 1 0 0 0 1 0 0 0 0 1 1 0 0 1 0 0 1 0 1 0 1 1 0 1 1 0 0 0 1 1 1 0 1 0 0 0 0 1 0 0 1 1 1 0 1 0 0 1 0 1 1 0 1 1 0 0 0 1 1 0 1 0 1 1 1 0 0 1 1 1 1 0 Example D C B A
  14. 14. 1 1 0100 1 1 1010 1011 0011 0010 11111110 0111 0101 0110 1100 1000 1001 0001 0000 1101 0 0 0 0 00 0 0 0 0 0 0 Example D C B A ABC + ACD + ABCD
  15. 15. 1010 1011 0011 0010 11111110 0111 0101 0100 0110 1100 1000 1001 0001 0000 1101 Example II D C B A 1 1 1 1 1 1 1 1 1 1 A B C D Y 0 0 0 0 1 0 0 0 1 1 0 0 1 0 1 0 0 1 1 0 0 1 0 0 1 0 1 0 1 0 0 1 1 0 1 0 1 1 1 1 1 0 0 0 0 1 0 0 1 1 1 0 1 0 0 1 0 1 1 1 1 1 0 0 1 1 1 0 1 0 1 1 1 0 0 1 1 1 1 1 Y = AD + ACD + BCD + BCD + BCD
  16. 16. Conclusion

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