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Karnaugh Maps
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
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