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

abir33 10,803 views 10 slides Sep 12, 2012
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About This Presentation

This is the Logic circuit which enables taking the MW data from the consumers to the substation, separating them into two major categories: a fixed cost for any 4 loads, and cost will increment from 5th load onwards.

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Language: en
Added: Sep 12, 2012
Slides: 10 pages

Slide Content

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’F’GH’

E’FG’H’

E’FG’H

E’FGH

E’FGH’

EF’G’H’

EF’G’H

EF’GH

EF’GH’

EFG’H’

EFG’H

EFGH

EFGH’

0000
A’B’C’D’
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
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’F’GH’

E’FG’H’

E’FG’H

E’FGH

E’FGH’

EF’G’H’

EF’G’H

EF’GH

EF’GH’

EFG’H’

EFG’H

EFGH

EFGH’

0000
A’B’C’D’

0001
A’B’C’D
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
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’F’GH’

E’FG’H’

E’FG’H

E’FGH

E’FGH’

EF’G’H’

EF’G’H

EF’GH

EF’GH’

EFG’H’

EFG’H

EFGH

EFGH’

0000
A’B’C’D’

0001
A’B’C’D

0011
A’B’CD
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
0010
A’B’CD’
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
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’F’GH’

E’FG’H’

E’FG’H

E’FGH

E’FGH’

EF’G’H’

EF’G’H

EF’GH

EF’GH’

EFG’H’

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’
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
0101
A’BC’D
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
0111
A’BCD
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
0110
A’BCD’
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
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’F’GH’

E’FG’H’

E’FG’H

E’FGH

E’FGH’

EF’G’H’

EF’G’H

EF’GH

EF’GH’

EFG’H’

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
AB’C’D’
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
1001
AB’C’D
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
1011
AB’CD
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
1010
AB’CD’
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
1100
ABC’D’
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
1101
ABC’D
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
1111
ABCD
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
1110
ABCD’
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1

F1= A

Combinational logic circuit:

A
B
F2
F3
C
F4
D
F5
F1
Tags
combinational logic truth table karnaugh map 8 variables 8 inputs logic circuit 5 outputs
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