4. Page | 4
Step 4: Karnaugh’s Map
J0
00 01 11 10 00 01 11 10
00 X X X 1 00 X X X X
01 X X X X 01 X X X X
11 X X X X 11 X X X X
10 X X X X 10 X X X X
= =
K0
00 01 11 10 00 01 11 10
00 X X 1 X 00 X 0 0 X
01 X 0 0 X 01 X X 0 X
11 X 0 X X 11 X 0 0 X
10 X X 0 X 10 X X X X
= =
5. Page | 5
J1
00 01 11 10 00 01 11 10
00 X X X X 00 X 0 X X
01 X 1 X X 01 X X X X
11 X 1 X X 11 X 1 X X
10 X X X X 10 X X X X
= =
K1
00 01 11 10 00 01 11 10
00 X X 0 0 00 X X 1 X
01 X X 1 X 01 X X 0 X
11 X X X X 11 X X 1 X
10 X X 0 X 10 X X X X
= =
6. Page | 6
J2
00 01 11 10 00 01 11 10
00 X X 0 1 00 X 1 0 X
01 X X X X 01 X X X X
11 X X X X 11 X X X X
10 X X 1 X 10 X X X X
= =
K2
00 01 11 10 00 01 11 10
00 X X X X 00 X X X X
01 X 1 0 X 01 X X 1 X
11 X 1 X X 11 X 0 0 X
10 X X X X 10 X X X X
= =
7. Page | 7
J3
00 01 11 10 00 01 11 10
00 X X 0 1 00 X 1 0 X
01 X 0 0 X 01 X X 0 X
11 X X X X 11 X X X X
10 X X X X 10 X X X X
= =
K3
00 01 11 10 00 01 11 10
00 X X X X 00 X X X X
01 X X X X 01 X X X X
11 X 0 X X 11 X 1 0 X
10 X X 1 X 10 X X X X
= =
8. Page | 8
J4
00 01 11 10 00 01 11 10
00 X X 0 1 00 X X X X
01 X 0 0 X 01 X X X X
11 X 0 X X 11 X X X X
10 X X 0 X 10 X X X X
= =
K4
00 01 11 10 00 01 11 10
00 X X X X 00 X 1 0 X
01 X X X X 01 X X 0 X
11 X X X X 11 X 0 0 X
10 X X X X 10 X X X X
= =