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Truth table, Karnaugh map & logic circuit with 5 outputs and 8 inputs

The document presents a truth table with 8 inputs (a-h) and 5 outputs (f1-f5). It systematically outlines the output values corresponding to various combinations of the input values, displaying a comprehensive set of binary combinations. The data appears to be in a format suitable for logic design and analysis.

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Truth table with 5 outputs and 8 inputs: A B C D E F G H F1 F2 F3 F4 F5 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 0 1 1 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 0 1 0 0 0 0 0 1 0 1 0 0 0 0 1 0 0 0 0 0 1 1 0 0 0 0 0 1 0 0 0 0 0 1 1 1 0 0 0 0 1 0 0 0 0 1 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 1 0 0 0 0 1 0 0 0 0 1 0 1 0 0 0 0 0 1 0 0 0 0 1 0 1 1 0 0 0 0 1 0 0 0 0 1 1 0 0 0 0 0 0 1 0 0 0 0 1 1 0 1 0 0 0 0 1 0 0 0 0 1 1 1 0 0 0 0 0 1 0 0 0 0 1 1 1 1 0 0 0 0 1 0 0 0 1 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 0 1 0 0 0 1 0 0 0 0 1 0 0 1 0 0 0 0 1 0 0 0 0 1 0 0 1 1 0 0 0 1 0 0 0 0 1 0 1 0 0 0 0 0 1 0 0 0 0 1 0 1 0 1 0 0 0 1 0 0 0 0 1 0 1 1 0 0 0 0 1 0 0 0 0 1 0 1 1 1 0 0 0 1 0 0 0 0 1 1 0 0 0 0 0 0 1 0 0 0 0 1 1 0 0 1 0 0 0 1 0 0 0 0 1 1 0 1 0 0 0 0 1 0 0 0 0 1 1 0 1 1 0 0 0 1 0 0 0 0 1 1 1 0 0 0 0 0 1 0 0 0 0 1 1 1 0 1 0 0 0 1 0 0 0 0 1 1 1 1 0 0 0 0 1 0 0 0 0 1 1 1 1 1 0 0 0 1 0 0 0 1 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 0 0 1 0 0 1 0 0 0 0 1 0 0 0 1 0 0 0 1 0 0 0 0 1 0 0 0 1 1 0 0 1 0 0 0 0 1 0 0 1 0 0 0 0 1 0 0 0 0 1 0 0 1 0 1 0 0 1 0 0 0 0 1 0 0 1 1 0 0 0 1 0 0 0 0 1 0 0 1 1 1 0 0 1 0 0 0 0 1 0 1 0 0 0 0 0 1 0 0 0 0 1 0 1 0 0 1 0 0 1 0 0 0 0 1 0 1 0 1 0 0 0 1 0 0 0 0 1 0 1 0 1 1 0 0 1 0 0 0 0 1 0 1 1 0 0 0 0 1 0 0 0 0 1 0 1 1 0 1 0 0 1 0 0 0 0 1 0 1 1 1 0 0 0 1 0 0 0 0 1 0 1 1 1 1 0 0 1 0 0 0 0 1 1 0 0 0 0 0 0 1 0 0 0 0 1 1 0 0 0 1 0 0 1 0 0 0 0 1 1 0 0 1 0 0 0 1 0 0 0 0 1 1 0 0 1 1 0 0 1 0 0 0 0 1 1 0 1 0 0 0 0 1 0 0 0 0 1 1 0 1 0 1 0 0 1 0 0 0 0 1 1 0 1 1 0 0 0 1 0 0 0 0 1 1 0 1 1 1 0 0 1 0 0 0 0 1 1 1 0 0 0 0 0 1 0 0 0 0 1 1 1 0 0 1 0 0 1 0 0 0 0 1 1 1 0 1 0 0 0 1 0 0 0 0 1 1 1 0 1 1 0 0 1 0 0 0 0 1 1 1 1 0 0 0 0 1 0 0 0 0 1 1 1 1 0 1 0 0 1 0 0 0 0 1 1 1 1 1 0 0 0 1 0 0 0 0 1 1 1 1 1 1 0 0 1 0 0 0 1 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 0 0 0 1 0 1 0 0 0
0 1 0 0 0 0 1 0 0 1 0 0 0 0 1 0 0 0 0 1 1 0 1 0 0 0 0 1 0 0 0 1 0 0 0 1 0 0 0 0 1 0 0 0 1 0 1 0 1 0 0 0 0 1 0 0 0 1 1 0 0 1 0 0 0 0 1 0 0 0 1 1 1 0 1 0 0 0 0 1 0 0 1 0 0 0 0 1 0 0 0 0 1 0 0 1 0 0 1 0 1 0 0 0 0 1 0 0 1 0 1 0 0 1 0 0 0 0 1 0 0 1 0 1 1 0 1 0 0 0 0 1 0 0 1 1 0 0 0 1 0 0 0 0 1 0 0 1 1 0 1 0 1 0 0 0 0 1 0 0 1 1 1 0 0 1 0 0 0 0 1 0 0 1 1 1 1 0 1 0 0 0 0 1 0 1 0 0 0 0 0 1 0 0 0 0 1 0 1 0 0 0 1 0 1 0 0 0 0 1 0 1 0 0 1 0 0 1 0 0 0 0 1 0 1 0 0 1 1 0 1 0 0 0 0 1 0 1 0 1 0 0 0 1 0 0 0 0 1 0 1 0 1 0 1 0 1 0 0 0 0 1 0 1 0 1 1 0 0 1 0 0 0 0 1 0 1 0 1 1 1 0 1 0 0 0 0 1 0 1 1 0 0 0 0 1 0 0 0 0 1 0 1 1 0 0 1 0 1 0 0 0 0 1 0 1 1 0 1 0 0 1 0 0 0 0 1 0 1 1 0 1 1 0 1 0 0 0 0 1 0 1 1 1 0 0 0 1 0 0 0 0 1 0 1 1 1 0 1 0 1 0 0 0 0 1 0 1 1 1 1 0 0 1 0 0 0 0 1 0 1 1 1 1 1 0 1 0 0 0 0 1 1 0 0 0 0 0 0 1 0 0 0 0 1 1 0 0 0 0 1 0 1 0 0 0 0 1 1 0 0 0 1 0 0 1 0 0 0 0 1 1 0 0 0 1 1 0 1 0 0 0 0 1 1 0 0 1 0 0 0 1 0 0 0 0 1 1 0 0 1 0 1 0 1 0 0 0 0 1 1 0 0 1 1 0 0 1 0 0 0 0 1 1 0 0 1 1 1 0 1 0 0 0 0 1 1 0 1 0 0 0 0 1 0 0 0 0 1 1 0 1 0 0 1 0 1 0 0 0 0 1 1 0 1 0 1 0 0 1 0 0 0 0 1 1 0 1 0 1 1 0 1 0 0 0 0 1 1 0 1 1 0 0 0 1 0 0 0 0 1 1 0 1 1 0 1 0 1 0 0 0 0 1 1 0 1 1 1 0 0 1 0 0 0 0 1 1 0 1 1 1 1 0 1 0 0 0 0 1 1 1 0 0 0 0 0 1 0 0 0 0 1 1 1 0 0 0 1 0 1 0 0 0 0 1 1 1 0 0 1 0 0 1 0 0 0 0 1 1 1 0 0 1 1 0 1 0 0 0 0 1 1 1 0 1 0 0 0 1 0 0 0 0 1 1 1 0 1 0 1 0 1 0 0 0 0 1 1 1 0 1 1 0 0 1 0 0 0 0 1 1 1 0 1 1 1 0 1 0 0 0 0 1 1 1 1 0 0 0 0 1 0 0 0 0 1 1 1 1 0 0 1 0 1 0 0 0 0 1 1 1 1 0 1 0 0 1 0 0 0 0 1 1 1 1 0 1 1 0 1 0 0 0 0 1 1 1 1 1 0 0 0 1 0 0 0 0 1 1 1 1 1 0 1 0 1 0 0 0 0 1 1 1 1 1 1 0 0 1 0 0 0 0 1 1 1 1 1 1 1 0 1 0 0 0 1 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 0 0 0 0 1 1 0 0 0 0 1 0 0 0 0 0 1 0 1 0 0 0 0 1 0 0 0 0 0 1 1 1 0 0 0 0 1 0 0 0 0 1 0 0 1 0 0 0 0 1 0 0 0 0 1 0 1 1 0 0 0 0 1 0 0 0 0 1 1 0 1 0 0 0 0 1 0 0 0 0 1 1 1 1 0 0 0 0
1 0 0 0 1 0 0 0 1 0 0 0 0 1 0 0 0 1 0 0 1 1 0 0 0 0 1 0 0 0 1 0 1 0 1 0 0 0 0 1 0 0 0 1 0 1 1 1 0 0 0 0 1 0 0 0 1 1 0 0 1 0 0 0 0 1 0 0 0 1 1 0 1 1 0 0 0 0 1 0 0 0 1 1 1 0 1 0 0 0 0 1 0 0 0 1 1 1 1 1 0 0 0 0 1 0 0 1 0 0 0 0 1 0 0 0 0 1 0 0 1 0 0 0 1 1 0 0 0 0 1 0 0 1 0 0 1 0 1 0 0 0 0 1 0 0 1 0 0 1 1 1 0 0 0 0 1 0 0 1 0 1 0 0 1 0 0 0 0 1 0 0 1 0 1 0 1 1 0 0 0 0 1 0 0 1 0 1 1 0 1 0 0 0 0 1 0 0 1 0 1 1 1 1 0 0 0 0 1 0 0 1 1 0 0 0 1 0 0 0 0 1 0 0 1 1 0 0 1 1 0 0 0 0 1 0 0 1 1 0 1 0 1 0 0 0 0 1 0 0 1 1 0 1 1 1 0 0 0 0 1 0 0 1 1 1 0 0 1 0 0 0 0 1 0 0 1 1 1 0 1 1 0 0 0 0 1 0 0 1 1 1 1 0 1 0 0 0 0 1 0 0 1 1 1 1 1 1 0 0 0 0 1 0 1 0 0 0 0 0 1 0 0 0 0 1 0 1 0 0 0 0 1 1 0 0 0 0 1 0 1 0 0 0 1 0 1 0 0 0 0 1 0 1 0 0 0 1 1 1 0 0 0 0 1 0 1 0 0 1 0 0 1 0 0 0 0 1 0 1 0 0 1 0 1 1 0 0 0 0 1 0 1 0 0 1 1 0 1 0 0 0 0 1 0 1 0 0 1 1 1 1 0 0 0 0 1 0 1 0 1 0 0 0 1 0 0 0 0 1 0 1 0 1 0 0 1 1 0 0 0 0 1 0 1 0 1 0 1 0 1 0 0 0 0 1 0 1 0 1 0 1 1 1 0 0 0 0 1 0 1 0 1 1 0 0 1 0 0 0 0 1 0 1 0 1 1 0 1 1 0 0 0 0 1 0 1 0 1 1 1 0 1 0 0 0 0 1 0 1 0 1 1 1 1 1 0 0 0 0 1 0 1 1 0 0 0 0 1 0 0 0 0 1 0 1 1 0 0 0 1 1 0 0 0 0 1 0 1 1 0 0 1 0 1 0 0 0 0 1 0 1 1 0 0 1 1 1 0 0 0 0 1 0 1 1 0 1 0 0 1 0 0 0 0 1 0 1 1 0 1 0 1 1 0 0 0 0 1 0 1 1 0 1 1 0 1 0 0 0 0 1 0 1 1 0 1 1 1 1 0 0 0 0 1 0 1 1 1 0 0 0 1 0 0 0 0 1 0 1 1 1 0 0 1 1 0 0 0 0 1 0 1 1 1 0 1 0 1 0 0 0 0 1 0 1 1 1 0 1 1 1 0 0 0 0 1 0 1 1 1 1 0 0 1 0 0 0 0 1 0 1 1 1 1 0 1 1 0 0 0 0 1 0 1 1 1 1 1 0 1 0 0 0 0 1 0 1 1 1 1 1 1 1 0 0 0 0 1 1 0 0 0 0 0 0 1 0 0 0 0 1 1 0 0 0 0 0 1 1 0 0 0 0 1 1 0 0 0 0 1 0 1 0 0 0 0 1 1 0 0 0 0 1 1 1 0 0 0 0 1 1 0 0 0 1 0 0 1 0 0 0 0 1 1 0 0 0 1 0 1 1 0 0 0 0 1 1 0 0 0 1 1 0 1 0 0 0 0 1 1 0 0 0 1 1 1 1 0 0 0 0 1 1 0 0 1 0 0 0 1 0 0 0 0 1 1 0 0 1 0 0 1 1 0 0 0 0 1 1 0 0 1 0 1 0 1 0 0 0 0 1 1 0 0 1 0 1 1 1 0 0 0 0 1 1 0 0 1 1 0 0 1 0 0 0 0 1 1 0 0 1 1 0 1 1 0 0 0 0
1 1 0 0 1 1 1 0 1 0 0 0 0 1 1 0 0 1 1 1 1 1 0 0 0 0 1 1 0 1 0 0 0 0 1 0 0 0 0 1 1 0 1 0 0 0 1 1 0 0 0 0 1 1 0 1 0 0 1 0 1 0 0 0 0 1 1 0 1 0 0 1 1 1 0 0 0 0 1 1 0 1 0 1 0 0 1 0 0 0 0 1 1 0 1 0 1 0 1 1 0 0 0 0 1 1 0 1 0 1 1 0 1 0 0 0 0 1 1 0 1 0 1 1 1 1 0 0 0 0 1 1 0 1 1 0 0 0 1 0 0 0 0 1 1 0 1 1 0 0 1 1 0 0 0 0 1 1 0 1 1 0 1 0 1 0 0 0 0 1 1 0 1 1 0 1 1 1 0 0 0 0 1 1 0 1 1 1 0 0 1 0 0 0 0 1 1 0 1 1 1 0 1 1 0 0 0 0 1 1 0 1 1 1 1 0 1 0 0 0 0 1 1 0 1 1 1 1 1 1 0 0 0 0 1 1 1 0 0 0 0 0 1 0 0 0 0 1 1 1 0 0 0 0 1 1 0 0 0 0 1 1 1 0 0 0 1 0 1 0 0 0 0 1 1 1 0 0 0 1 1 1 0 0 0 0 1 1 1 0 0 1 0 0 1 0 0 0 0 1 1 1 0 0 1 0 1 1 0 0 0 0 1 1 1 0 0 1 1 0 1 0 0 0 0 1 1 1 0 0 1 1 1 1 0 0 0 0 1 1 1 0 1 0 0 0 1 0 0 0 0 1 1 1 0 1 0 0 1 1 0 0 0 0 1 1 1 0 1 0 1 0 1 0 0 0 0 1 1 1 0 1 0 1 1 1 0 0 0 0 1 1 1 0 1 1 0 0 1 0 0 0 0 1 1 1 0 1 1 0 1 1 0 0 0 0 1 1 1 0 1 1 1 0 1 0 0 0 0 1 1 1 0 1 1 1 1 1 0 0 0 0 1 1 1 1 0 0 0 0 1 0 0 0 0 1 1 1 1 0 0 0 1 1 0 0 0 0 1 1 1 1 0 0 1 0 1 0 0 0 0 1 1 1 1 0 0 1 1 1 0 0 0 0 1 1 1 1 0 1 0 0 1 0 0 0 0 1 1 1 1 0 1 0 1 1 0 0 0 0 1 1 1 1 0 1 1 0 1 0 0 0 0 1 1 1 1 0 1 1 1 1 0 0 0 0 1 1 1 1 1 0 0 0 1 0 0 0 0 1 1 1 1 1 0 0 1 1 0 0 0 0 1 1 1 1 1 0 1 0 1 0 0 0 0 1 1 1 1 1 0 1 1 1 0 0 0 0 1 1 1 1 1 1 0 0 1 0 0 0 0 1 1 1 1 1 1 0 1 1 0 0 0 0 1 1 1 1 1 1 1 0 1 0 0 0 0 1 1 1 1 1 1 1 1 1 0 0 0 0
Karnaugh Map for the 5 output variables: For F5: 0000 0001 0011 0010 0100 0101 0111 0110 1000 1001 1011 1010 1100 1101 1111 1110 E’F’G’H’ E’F’G’H E’F’GH’ E’FG’H’ EF’G’H’ E’F’GH E’FG’H E’FGH’ EF’G’H EF’GH’ EFG’H’ E’FGH EF’GH EFG’H EFGH’ EFGH 0000 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 A’B’C’D’ 0001 A’B’C’D 0011 A’B’CD 0010 A’B’CD’ 0100 A’BC’D’ 0101 A’BC’D 0111 A’BCD 0110 A’BCD’ 1000 AB’C’D’ 1001 AB’C’D 1011 AB’CD 1010 AB’CD’ 1100 ABC’D’ 1101 ABC’D 1111 ABCD 1110 ABCD’ F5= A’B’C’D’
For F4: 0000 0001 0011 0010 0100 0101 0111 0110 1000 1001 1011 1010 1100 1101 1111 1110 E’F’G’H’ E’F’G’H E’F’GH’ E’FG’H’ EF’G’H’ E’F’GH E’FG’H E’FGH’ EF’G’H EF’GH’ EFG’H’ E’FGH EF’GH EFG’H EFGH’ EFGH 0000 A’B’C’D’ 0001 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 A’B’C’D 0011 A’B’CD 0010 A’B’CD’ 0100 A’BC’D’ 0101 A’BC’D 0111 A’BCD 0110 A’BCD’ 1000 AB’C’D’ 1001 AB’C’D 1011 AB’CD 1010 AB’CD’ 1100 ABC’D’ 1101 ABC’D 1111 ABCD 1110 ABCD’ F4= A’B’C’D
For F3: 0000 0001 0011 0010 0100 0101 0111 0110 1000 1001 1011 1010 1100 1101 1111 1110 E’F’G’H’ E’F’G’H E’F’GH’ E’FG’H’ EF’G’H’ E’F’GH E’FG’H E’FGH’ EF’G’H EF’GH’ EFG’H’ E’FGH EF’GH EFG’H EFGH’ EFGH 0000 A’B’C’D’ 0001 A’B’C’D 0011 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 A’B’CD 0010 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 A’B’CD’ 0100 A’BC’D’ 0101 A’BC’D 0111 A’BCD 0110 A’BCD’ 1000 AB’C’D’ 1001 AB’C’D 1011 AB’CD 1010 AB’CD’ 1100 ABC’D’ 1101 ABC’D 1111 ABCD 1110 ABCD’ F3= A’B’C
For F2: 0000 0001 0011 0010 0100 0101 0111 0110 1000 1001 1011 1010 1100 1101 1111 1110 E’F’G’H’ E’F’G’H E’F’GH’ E’FG’H’ EF’G’H’ E’F’GH E’FG’H E’FGH’ EF’G’H EF’GH’ EFG’H’ E’FGH EF’GH EFG’H EFGH’ EFGH 0000 A’B’C’D’ 0001 A’B’C’D 0011 A’B’CD 0010 A’B’CD’ 0100 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 A’BC’D’ 0101 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 A’BC’D 0111 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 A’BCD 0110 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 A’BCD’ 1000 AB’C’D’ 1001 AB’C’D 1011 AB’CD 1010 AB’CD’ 1100 ABC’D’ 1101 ABC’D 1111 ABCD 1110 ABCD’ F2= A’B
For F1: 0000 0001 0011 0010 0100 0101 0111 0110 1000 1001 1011 1010 1100 1101 1111 1110 E’F’G’H’ E’F’G’H E’F’GH’ E’FG’H’ EF’G’H’ E’F’GH E’FG’H E’FGH’ EF’G’H EF’GH’ EFG’H’ E’FGH EF’GH EFG’H EFGH’ EFGH 0000 A’B’C’D’ 0001 A’B’C’D 0011 A’B’CD 0010 A’B’CD’ 0100 A’BC’D’ 0101 A’BC’D 0111 A’BCD 0110 A’BCD’ 1000 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 AB’C’D’ 1001 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 AB’C’D 1011 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 AB’CD 1010 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 AB’CD’ 1100 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 ABC’D’ 1101 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 ABC’D 1111 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 ABCD 1110 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 ABCD’ F1= A
Combinational logic circuit: A F2 B F1 F3 C F4 D F5

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Truth table, Karnaugh map & logic circuit with 5 outputs and 8 inputs

  • 1.
    Truth table with5 outputs and 8 inputs: A B C D E F G H F1 F2 F3 F4 F5 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 0 1 1 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 0 1 0 0 0 0 0 1 0 1 0 0 0 0 1 0 0 0 0 0 1 1 0 0 0 0 0 1 0 0 0 0 0 1 1 1 0 0 0 0 1 0 0 0 0 1 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 1 0 0 0 0 1 0 0 0 0 1 0 1 0 0 0 0 0 1 0 0 0 0 1 0 1 1 0 0 0 0 1 0 0 0 0 1 1 0 0 0 0 0 0 1 0 0 0 0 1 1 0 1 0 0 0 0 1 0 0 0 0 1 1 1 0 0 0 0 0 1 0 0 0 0 1 1 1 1 0 0 0 0 1 0 0 0 1 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 0 1 0 0 0 1 0 0 0 0 1 0 0 1 0 0 0 0 1 0 0 0 0 1 0 0 1 1 0 0 0 1 0 0 0 0 1 0 1 0 0 0 0 0 1 0 0 0 0 1 0 1 0 1 0 0 0 1 0 0 0 0 1 0 1 1 0 0 0 0 1 0 0 0 0 1 0 1 1 1 0 0 0 1 0 0 0 0 1 1 0 0 0 0 0 0 1 0 0 0 0 1 1 0 0 1 0 0 0 1 0 0 0 0 1 1 0 1 0 0 0 0 1 0 0 0 0 1 1 0 1 1 0 0 0 1 0 0 0 0 1 1 1 0 0 0 0 0 1 0 0 0 0 1 1 1 0 1 0 0 0 1 0 0 0 0 1 1 1 1 0 0 0 0 1 0 0 0 0 1 1 1 1 1 0 0 0 1 0 0 0 1 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 0 0 1 0 0 1 0 0 0 0 1 0 0 0 1 0 0 0 1 0 0 0 0 1 0 0 0 1 1 0 0 1 0 0 0 0 1 0 0 1 0 0 0 0 1 0 0 0 0 1 0 0 1 0 1 0 0 1 0 0 0 0 1 0 0 1 1 0 0 0 1 0 0 0 0 1 0 0 1 1 1 0 0 1 0 0 0 0 1 0 1 0 0 0 0 0 1 0 0 0 0 1 0 1 0 0 1 0 0 1 0 0 0 0 1 0 1 0 1 0 0 0 1 0 0 0 0 1 0 1 0 1 1 0 0 1 0 0 0 0 1 0 1 1 0 0 0 0 1 0 0 0 0 1 0 1 1 0 1 0 0 1 0 0 0 0 1 0 1 1 1 0 0 0 1 0 0 0 0 1 0 1 1 1 1 0 0 1 0 0 0 0 1 1 0 0 0 0 0 0 1 0 0 0 0 1 1 0 0 0 1 0 0 1 0 0 0 0 1 1 0 0 1 0 0 0 1 0 0 0 0 1 1 0 0 1 1 0 0 1 0 0 0 0 1 1 0 1 0 0 0 0 1 0 0 0 0 1 1 0 1 0 1 0 0 1 0 0 0 0 1 1 0 1 1 0 0 0 1 0 0 0 0 1 1 0 1 1 1 0 0 1 0 0 0 0 1 1 1 0 0 0 0 0 1 0 0 0 0 1 1 1 0 0 1 0 0 1 0 0 0 0 1 1 1 0 1 0 0 0 1 0 0 0 0 1 1 1 0 1 1 0 0 1 0 0 0 0 1 1 1 1 0 0 0 0 1 0 0 0 0 1 1 1 1 0 1 0 0 1 0 0 0 0 1 1 1 1 1 0 0 0 1 0 0 0 0 1 1 1 1 1 1 0 0 1 0 0 0 1 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 0 0 0 1 0 1 0 0 0
  • 2.
    0 1 0 0 0 0 1 0 0 1 0 0 0 0 1 0 0 0 0 1 1 0 1 0 0 0 0 1 0 0 0 1 0 0 0 1 0 0 0 0 1 0 0 0 1 0 1 0 1 0 0 0 0 1 0 0 0 1 1 0 0 1 0 0 0 0 1 0 0 0 1 1 1 0 1 0 0 0 0 1 0 0 1 0 0 0 0 1 0 0 0 0 1 0 0 1 0 0 1 0 1 0 0 0 0 1 0 0 1 0 1 0 0 1 0 0 0 0 1 0 0 1 0 1 1 0 1 0 0 0 0 1 0 0 1 1 0 0 0 1 0 0 0 0 1 0 0 1 1 0 1 0 1 0 0 0 0 1 0 0 1 1 1 0 0 1 0 0 0 0 1 0 0 1 1 1 1 0 1 0 0 0 0 1 0 1 0 0 0 0 0 1 0 0 0 0 1 0 1 0 0 0 1 0 1 0 0 0 0 1 0 1 0 0 1 0 0 1 0 0 0 0 1 0 1 0 0 1 1 0 1 0 0 0 0 1 0 1 0 1 0 0 0 1 0 0 0 0 1 0 1 0 1 0 1 0 1 0 0 0 0 1 0 1 0 1 1 0 0 1 0 0 0 0 1 0 1 0 1 1 1 0 1 0 0 0 0 1 0 1 1 0 0 0 0 1 0 0 0 0 1 0 1 1 0 0 1 0 1 0 0 0 0 1 0 1 1 0 1 0 0 1 0 0 0 0 1 0 1 1 0 1 1 0 1 0 0 0 0 1 0 1 1 1 0 0 0 1 0 0 0 0 1 0 1 1 1 0 1 0 1 0 0 0 0 1 0 1 1 1 1 0 0 1 0 0 0 0 1 0 1 1 1 1 1 0 1 0 0 0 0 1 1 0 0 0 0 0 0 1 0 0 0 0 1 1 0 0 0 0 1 0 1 0 0 0 0 1 1 0 0 0 1 0 0 1 0 0 0 0 1 1 0 0 0 1 1 0 1 0 0 0 0 1 1 0 0 1 0 0 0 1 0 0 0 0 1 1 0 0 1 0 1 0 1 0 0 0 0 1 1 0 0 1 1 0 0 1 0 0 0 0 1 1 0 0 1 1 1 0 1 0 0 0 0 1 1 0 1 0 0 0 0 1 0 0 0 0 1 1 0 1 0 0 1 0 1 0 0 0 0 1 1 0 1 0 1 0 0 1 0 0 0 0 1 1 0 1 0 1 1 0 1 0 0 0 0 1 1 0 1 1 0 0 0 1 0 0 0 0 1 1 0 1 1 0 1 0 1 0 0 0 0 1 1 0 1 1 1 0 0 1 0 0 0 0 1 1 0 1 1 1 1 0 1 0 0 0 0 1 1 1 0 0 0 0 0 1 0 0 0 0 1 1 1 0 0 0 1 0 1 0 0 0 0 1 1 1 0 0 1 0 0 1 0 0 0 0 1 1 1 0 0 1 1 0 1 0 0 0 0 1 1 1 0 1 0 0 0 1 0 0 0 0 1 1 1 0 1 0 1 0 1 0 0 0 0 1 1 1 0 1 1 0 0 1 0 0 0 0 1 1 1 0 1 1 1 0 1 0 0 0 0 1 1 1 1 0 0 0 0 1 0 0 0 0 1 1 1 1 0 0 1 0 1 0 0 0 0 1 1 1 1 0 1 0 0 1 0 0 0 0 1 1 1 1 0 1 1 0 1 0 0 0 0 1 1 1 1 1 0 0 0 1 0 0 0 0 1 1 1 1 1 0 1 0 1 0 0 0 0 1 1 1 1 1 1 0 0 1 0 0 0 0 1 1 1 1 1 1 1 0 1 0 0 0 1 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 0 0 0 0 1 1 0 0 0 0 1 0 0 0 0 0 1 0 1 0 0 0 0 1 0 0 0 0 0 1 1 1 0 0 0 0 1 0 0 0 0 1 0 0 1 0 0 0 0 1 0 0 0 0 1 0 1 1 0 0 0 0 1 0 0 0 0 1 1 0 1 0 0 0 0 1 0 0 0 0 1 1 1 1 0 0 0 0
  • 3.
    1 0 0 0 1 0 0 0 1 0 0 0 0 1 0 0 0 1 0 0 1 1 0 0 0 0 1 0 0 0 1 0 1 0 1 0 0 0 0 1 0 0 0 1 0 1 1 1 0 0 0 0 1 0 0 0 1 1 0 0 1 0 0 0 0 1 0 0 0 1 1 0 1 1 0 0 0 0 1 0 0 0 1 1 1 0 1 0 0 0 0 1 0 0 0 1 1 1 1 1 0 0 0 0 1 0 0 1 0 0 0 0 1 0 0 0 0 1 0 0 1 0 0 0 1 1 0 0 0 0 1 0 0 1 0 0 1 0 1 0 0 0 0 1 0 0 1 0 0 1 1 1 0 0 0 0 1 0 0 1 0 1 0 0 1 0 0 0 0 1 0 0 1 0 1 0 1 1 0 0 0 0 1 0 0 1 0 1 1 0 1 0 0 0 0 1 0 0 1 0 1 1 1 1 0 0 0 0 1 0 0 1 1 0 0 0 1 0 0 0 0 1 0 0 1 1 0 0 1 1 0 0 0 0 1 0 0 1 1 0 1 0 1 0 0 0 0 1 0 0 1 1 0 1 1 1 0 0 0 0 1 0 0 1 1 1 0 0 1 0 0 0 0 1 0 0 1 1 1 0 1 1 0 0 0 0 1 0 0 1 1 1 1 0 1 0 0 0 0 1 0 0 1 1 1 1 1 1 0 0 0 0 1 0 1 0 0 0 0 0 1 0 0 0 0 1 0 1 0 0 0 0 1 1 0 0 0 0 1 0 1 0 0 0 1 0 1 0 0 0 0 1 0 1 0 0 0 1 1 1 0 0 0 0 1 0 1 0 0 1 0 0 1 0 0 0 0 1 0 1 0 0 1 0 1 1 0 0 0 0 1 0 1 0 0 1 1 0 1 0 0 0 0 1 0 1 0 0 1 1 1 1 0 0 0 0 1 0 1 0 1 0 0 0 1 0 0 0 0 1 0 1 0 1 0 0 1 1 0 0 0 0 1 0 1 0 1 0 1 0 1 0 0 0 0 1 0 1 0 1 0 1 1 1 0 0 0 0 1 0 1 0 1 1 0 0 1 0 0 0 0 1 0 1 0 1 1 0 1 1 0 0 0 0 1 0 1 0 1 1 1 0 1 0 0 0 0 1 0 1 0 1 1 1 1 1 0 0 0 0 1 0 1 1 0 0 0 0 1 0 0 0 0 1 0 1 1 0 0 0 1 1 0 0 0 0 1 0 1 1 0 0 1 0 1 0 0 0 0 1 0 1 1 0 0 1 1 1 0 0 0 0 1 0 1 1 0 1 0 0 1 0 0 0 0 1 0 1 1 0 1 0 1 1 0 0 0 0 1 0 1 1 0 1 1 0 1 0 0 0 0 1 0 1 1 0 1 1 1 1 0 0 0 0 1 0 1 1 1 0 0 0 1 0 0 0 0 1 0 1 1 1 0 0 1 1 0 0 0 0 1 0 1 1 1 0 1 0 1 0 0 0 0 1 0 1 1 1 0 1 1 1 0 0 0 0 1 0 1 1 1 1 0 0 1 0 0 0 0 1 0 1 1 1 1 0 1 1 0 0 0 0 1 0 1 1 1 1 1 0 1 0 0 0 0 1 0 1 1 1 1 1 1 1 0 0 0 0 1 1 0 0 0 0 0 0 1 0 0 0 0 1 1 0 0 0 0 0 1 1 0 0 0 0 1 1 0 0 0 0 1 0 1 0 0 0 0 1 1 0 0 0 0 1 1 1 0 0 0 0 1 1 0 0 0 1 0 0 1 0 0 0 0 1 1 0 0 0 1 0 1 1 0 0 0 0 1 1 0 0 0 1 1 0 1 0 0 0 0 1 1 0 0 0 1 1 1 1 0 0 0 0 1 1 0 0 1 0 0 0 1 0 0 0 0 1 1 0 0 1 0 0 1 1 0 0 0 0 1 1 0 0 1 0 1 0 1 0 0 0 0 1 1 0 0 1 0 1 1 1 0 0 0 0 1 1 0 0 1 1 0 0 1 0 0 0 0 1 1 0 0 1 1 0 1 1 0 0 0 0
  • 4.
    1 1 0 0 1 1 1 0 1 0 0 0 0 1 1 0 0 1 1 1 1 1 0 0 0 0 1 1 0 1 0 0 0 0 1 0 0 0 0 1 1 0 1 0 0 0 1 1 0 0 0 0 1 1 0 1 0 0 1 0 1 0 0 0 0 1 1 0 1 0 0 1 1 1 0 0 0 0 1 1 0 1 0 1 0 0 1 0 0 0 0 1 1 0 1 0 1 0 1 1 0 0 0 0 1 1 0 1 0 1 1 0 1 0 0 0 0 1 1 0 1 0 1 1 1 1 0 0 0 0 1 1 0 1 1 0 0 0 1 0 0 0 0 1 1 0 1 1 0 0 1 1 0 0 0 0 1 1 0 1 1 0 1 0 1 0 0 0 0 1 1 0 1 1 0 1 1 1 0 0 0 0 1 1 0 1 1 1 0 0 1 0 0 0 0 1 1 0 1 1 1 0 1 1 0 0 0 0 1 1 0 1 1 1 1 0 1 0 0 0 0 1 1 0 1 1 1 1 1 1 0 0 0 0 1 1 1 0 0 0 0 0 1 0 0 0 0 1 1 1 0 0 0 0 1 1 0 0 0 0 1 1 1 0 0 0 1 0 1 0 0 0 0 1 1 1 0 0 0 1 1 1 0 0 0 0 1 1 1 0 0 1 0 0 1 0 0 0 0 1 1 1 0 0 1 0 1 1 0 0 0 0 1 1 1 0 0 1 1 0 1 0 0 0 0 1 1 1 0 0 1 1 1 1 0 0 0 0 1 1 1 0 1 0 0 0 1 0 0 0 0 1 1 1 0 1 0 0 1 1 0 0 0 0 1 1 1 0 1 0 1 0 1 0 0 0 0 1 1 1 0 1 0 1 1 1 0 0 0 0 1 1 1 0 1 1 0 0 1 0 0 0 0 1 1 1 0 1 1 0 1 1 0 0 0 0 1 1 1 0 1 1 1 0 1 0 0 0 0 1 1 1 0 1 1 1 1 1 0 0 0 0 1 1 1 1 0 0 0 0 1 0 0 0 0 1 1 1 1 0 0 0 1 1 0 0 0 0 1 1 1 1 0 0 1 0 1 0 0 0 0 1 1 1 1 0 0 1 1 1 0 0 0 0 1 1 1 1 0 1 0 0 1 0 0 0 0 1 1 1 1 0 1 0 1 1 0 0 0 0 1 1 1 1 0 1 1 0 1 0 0 0 0 1 1 1 1 0 1 1 1 1 0 0 0 0 1 1 1 1 1 0 0 0 1 0 0 0 0 1 1 1 1 1 0 0 1 1 0 0 0 0 1 1 1 1 1 0 1 0 1 0 0 0 0 1 1 1 1 1 0 1 1 1 0 0 0 0 1 1 1 1 1 1 0 0 1 0 0 0 0 1 1 1 1 1 1 0 1 1 0 0 0 0 1 1 1 1 1 1 1 0 1 0 0 0 0 1 1 1 1 1 1 1 1 1 0 0 0 0
  • 5.
    Karnaugh Map forthe 5 output variables: For F5: 0000 0001 0011 0010 0100 0101 0111 0110 1000 1001 1011 1010 1100 1101 1111 1110 E’F’G’H’ E’F’G’H E’F’GH’ E’FG’H’ EF’G’H’ E’F’GH E’FG’H E’FGH’ EF’G’H EF’GH’ EFG’H’ E’FGH EF’GH EFG’H EFGH’ EFGH 0000 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 A’B’C’D’ 0001 A’B’C’D 0011 A’B’CD 0010 A’B’CD’ 0100 A’BC’D’ 0101 A’BC’D 0111 A’BCD 0110 A’BCD’ 1000 AB’C’D’ 1001 AB’C’D 1011 AB’CD 1010 AB’CD’ 1100 ABC’D’ 1101 ABC’D 1111 ABCD 1110 ABCD’ F5= A’B’C’D’
  • 6.
    For F4: 0000 0001 0011 0010 0100 0101 0111 0110 1000 1001 1011 1010 1100 1101 1111 1110 E’F’G’H’ E’F’G’H E’F’GH’ E’FG’H’ EF’G’H’ E’F’GH E’FG’H E’FGH’ EF’G’H EF’GH’ EFG’H’ E’FGH EF’GH EFG’H EFGH’ EFGH 0000 A’B’C’D’ 0001 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 A’B’C’D 0011 A’B’CD 0010 A’B’CD’ 0100 A’BC’D’ 0101 A’BC’D 0111 A’BCD 0110 A’BCD’ 1000 AB’C’D’ 1001 AB’C’D 1011 AB’CD 1010 AB’CD’ 1100 ABC’D’ 1101 ABC’D 1111 ABCD 1110 ABCD’ F4= A’B’C’D
  • 7.
    For F3: 0000 0001 0011 0010 0100 0101 0111 0110 1000 1001 1011 1010 1100 1101 1111 1110 E’F’G’H’ E’F’G’H E’F’GH’ E’FG’H’ EF’G’H’ E’F’GH E’FG’H E’FGH’ EF’G’H EF’GH’ EFG’H’ E’FGH EF’GH EFG’H EFGH’ EFGH 0000 A’B’C’D’ 0001 A’B’C’D 0011 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 A’B’CD 0010 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 A’B’CD’ 0100 A’BC’D’ 0101 A’BC’D 0111 A’BCD 0110 A’BCD’ 1000 AB’C’D’ 1001 AB’C’D 1011 AB’CD 1010 AB’CD’ 1100 ABC’D’ 1101 ABC’D 1111 ABCD 1110 ABCD’ F3= A’B’C
  • 8.
    For F2: 0000 0001 0011 0010 0100 0101 0111 0110 1000 1001 1011 1010 1100 1101 1111 1110 E’F’G’H’ E’F’G’H E’F’GH’ E’FG’H’ EF’G’H’ E’F’GH E’FG’H E’FGH’ EF’G’H EF’GH’ EFG’H’ E’FGH EF’GH EFG’H EFGH’ EFGH 0000 A’B’C’D’ 0001 A’B’C’D 0011 A’B’CD 0010 A’B’CD’ 0100 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 A’BC’D’ 0101 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 A’BC’D 0111 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 A’BCD 0110 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 A’BCD’ 1000 AB’C’D’ 1001 AB’C’D 1011 AB’CD 1010 AB’CD’ 1100 ABC’D’ 1101 ABC’D 1111 ABCD 1110 ABCD’ F2= A’B
  • 9.
    For F1: 0000 0001 0011 0010 0100 0101 0111 0110 1000 1001 1011 1010 1100 1101 1111 1110 E’F’G’H’ E’F’G’H E’F’GH’ E’FG’H’ EF’G’H’ E’F’GH E’FG’H E’FGH’ EF’G’H EF’GH’ EFG’H’ E’FGH EF’GH EFG’H EFGH’ EFGH 0000 A’B’C’D’ 0001 A’B’C’D 0011 A’B’CD 0010 A’B’CD’ 0100 A’BC’D’ 0101 A’BC’D 0111 A’BCD 0110 A’BCD’ 1000 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 AB’C’D’ 1001 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 AB’C’D 1011 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 AB’CD 1010 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 AB’CD’ 1100 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 ABC’D’ 1101 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 ABC’D 1111 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 ABCD 1110 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 ABCD’ F1= A
  • 10.
    Combinational logic circuit: A F2 B F1 F3 C F4 D F5