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ABCDABCDNumericChoose
0000ABCD0
0001ABCD1
0010ABCD2
0011ABCD3
0100ABCD4
0101ABCD5
0110ABCD6
0111ABCD7
1000ABCD8
1001ABCD9
1010ABCD10
1011ABCD11
1100ABCD12
1101ABCD13
1110ABCD14
1111ABCD15
Karnaugh Map Result y = ABC + BCD + ABD + ACD

Solve 4 Variables K-Map for ∑(0, 1, 2, 4, 8)

Work with Steps:

step 1
input = ∑(0, 1, 2, 4, 8)
Place the values in the corresponding places of Karnaugh's Map Table
CDCDCDCD
AB
1
0
1
1
0
3
1
2
AB
1
4
0
5
0
7
0
6
AB
0
12
0
13
0
15
0
14
AB
1
8
0
9
0
11
0
10

step 2 2 cell Grouping
Group 1:
Positions = {0, 1}
Simplified Expression = ABC

CDCDCDCD
AB
1
1
0
0
AB
0
0
0
0
AB
0
0
0
0
AB
0
0
0
0

Group 2:
Positions = {0, 8}
Simplified Expression = BCD

CDCDCDCD
AB
1
0
0
0
AB
0
0
0
0
AB
0
0
0
0
AB
1
0
0
0

Group 3:
Positions = {0, 2}
Simplified Expression = ABD

CDCDCDCD
AB
1
0
0
1
AB
0
0
0
0
AB
0
0
0
0
AB
0
0
0
0

Group 4:
Positions = {0, 4}
Simplified Expression = ACD

CDCDCDCD
AB
1
0
0
0
AB
1
0
0
0
AB
0
0
0
0
AB
0
0
0
0

step 3 Form Output expression from mapped and unmapped variables
output = sum(unmapped & mapped cells)

y = ABC + BCD + ABD + ACD
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