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Transcript

  • 1. Karnaugh Maps
  • 2. Karnaugh Map D C B A
  • 3. Karnaugh Map D C B A
  • 4. Karnaugh Map D C B A
  • 5. Karnaugh Map 1010 1011 0011 0010 11111110 0111 0101 0100 0110 1100 1000 1001 0001 0000 1101 D C B A
  • 6. Karnaugh Map 1010 1011 0011 0010 11111110 0111 0101 0100 0110 1100 1000 1001 0001 0000 1101 D C B A
  • 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. 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. 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. 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. 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. 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. 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. 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. 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. Conclusion