Enter number of variables:
4
Enter minterms in decimal <-1 to finish>:
1
2
3
4
5
6
7
8
9
10
11
12
-1
Enter don'tcares in decimal <-1 to finish>:
-1
________________________________________________________________

Grouping

0001	(1)
0010	(2)
0100	(4)
1000	(8)
-----------------
0011	(3)
0101	(5)
0110	(6)
1001	(9)
1010	(10)
1100	(12)
-----------------
0111	(7)
1011	(11)
-----------------
_________________

00-1	(1 3)
0-01	(1 5)
-001	(1 9)
001-	(2 3)
0-10	(2 6)
-010	(2 10)
010-	(4 5)
01-0	(4 6)
-100	(4 12)
100-	(8 9)
10-0	(8 10)
1-00	(8 12)
-----------------
0-11	(3 7)
-011	(3 11)
01-1	(5 7)
011-	(6 7)
10-1	(9 11)
101-	(10 11)
-----------------
_________________

0--1	(1 3 5 7)
-0-1	(1 3 9 11)
0-1-	(2 3 6 7)
-01-	(2 3 10 11)
01--	(4 5 6 7)
10--	(8 9 10 11)
-----------------
_________________


Prime Implicants:

-100	(4 12)
1-00	(8 12)
0--1	(1 3 5 7)
-0-1	(1 3 9 11)
0-1-	(2 3 6 7)
-01-	(2 3 10 11)
01--	(4 5 6 7)
10--	(8 9 10 11)

Expression:
BC'D' + AC'D' + A'D + B'D + A'C + B'C + A'B + AB'
_________________

Coverage Table:

	1	2	3	4	5	6	7	8	9	10	11	12

-100	 	 	 	X	 	 	 	 	 	 	 	X
1-00	 	 	 	 	 	 	 	X	 	 	 	X
0--1	X	 	X	 	X	 	X
-0-1	X	 	X	 	 	 	 	 	X	 	X
0-1-	 	X	X	 	 	X	X
-01-	 	X	X	 	 	 	 	 	 	X	X
01--	 	 	 	X	X	X	X
10--	 	 	 	 	 	 	 	X	X	X	X

Essential Prime Implicants:

-100	(4 12)
0--1	(1 3 5 7)
0-1-	(2 3 6 7)
10--	(8 9 10 11)

Expression:
BC'D' + A'D + A'C + AB'
---------------
1-00	(8 12)
-0-1	(1 3 9 11)
-01-	(2 3 10 11)
01--	(4 5 6 7)

Expression:
AC'D' + B'D + B'C + A'B
---------------