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Home > College Algebra calculators > Karnaugh Map method (Kmap) example
1. Karnaugh Map method (Kmap) example ( Enter your problem )
( Enter your problem )
  1. Example-1 : Minterm = 0,1,2,5,6,7,8,9,10,14
  2. Example-2 : Minterm = 2,6,8,9,10,11,14,15
  3. Example-3 : Minterm = 2,3,5,7,8,10,12,13,15
  4. Example-4 : Minterm = 4,8,10,11,12,15
 		Other related methods
  1. Karnaugh Map method (Kmap)
  2. Quine-McCluskey method
2. Example-2 : Minterm = 2,6,8,9,10,11,14,15
(Previous example)		4. Example-4 : Minterm = 4,8,10,11,12,15
(Next example)

3. Example-3 : Minterm = 2,3,5,7,8,10,12,13,15


Minterm = 2,3,5,7,8,10,12,13,15
DontCare =
Variable = a,b,c,d
using Karnaugh Map (Kmap solver)


Solution:
Minterm = `sum m(2,3,5,7,8,10,12,13,15)`

Variable = a,b,c,d

a,b\c,d00011110
00
0
0
0
1
1
3
1
2
01
0
4
1
5
1
7
0
6
11
1
12
1
13
1
15
0
14
10
1
8
0
9
0
11
1
10


Group-1 : 4 Cell Grouping (5,7,13,15)

a,b\c,d00011110
00
0
0
0
1
1
3
1
2
01
0
4
1
5
1
7
0
6
11
1
12
1
13
1
15
0
14
10
1
8
0
9
0
11
1
10


Positions = 5,7,13,15
Simplified Expression = bd

Group-2 : 2 Cell Grouping (8,12)

a,b\c,d00011110
00
0
0
0
1
1
3
1
2
01
0
4
1
5
1
7
0
6
11
1
12
1
13
1
15
0
14
10
1
8
0
9
0
11
1
10


Positions = 8,12
Simplified Expression = bd + ac'd'

Group-3 : 2 Cell Grouping (8,10)

a,b\c,d00011110
00
0
0
0
1
1
3
1
2
01
0
4
1
5
1
7
0
6
11
1
12
1
13
1
15
0
14
10
1
8
0
9
0
11
1
10


Positions = 8,10
Simplified Expression = bd + ac'd' + ab'd'

Group-4 : 2 Cell Grouping (2,3)

a,b\c,d00011110
00
0
0
0
1
1
3
1
2
01
0
4
1
5
1
7
0
6
11
1
12
1
13
1
15
0
14
10
1
8
0
9
0
11
1
10


Positions = 2,3
Simplified Expression = bd + ac'd' + ab'd' + a'b'c

Final Expression = bd + ac'd' + ab'd' + a'b'c
a,b\c,d00011110
00
0
0
0
1
1
3
1
2
01
0
4
1
5
1
7
0
6
11
1
12
1
13
1
15
0
14
10
1
8
0
9
0
11
1
10




This material is intended as a summary. Use your textbook for detail explanation.
Any bug, improvement, feedback then Submit Here


2. Example-2 : Minterm = 2,6,8,9,10,11,14,15
(Previous example)		4. Example-4 : Minterm = 4,8,10,11,12,15
(Next example)


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