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Simplify using $\theta$ using Mc.clusky method.

written 5.6 years ago by teamques10 ★ 69k

modified 2.9 years ago by sagarkolekar ★ 11k

digital logic design

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written 2.9 years ago by sagarkolekar ★ 11k

F(A,B,C,D)- $\sum$m (0,3,4,11,15) + d(1,2,5)

Step 1: Grouping minterms according to no. of 1’s.

Group	Minterms	variable
-	-	A B C D $\checkmark$
0	0	0 0 0 0 $\checkmark$
1	1	0 0 0 1 $\checkmark$
-	2	0010 $\checkmark$
-	4	0100 $\checkmark$
2	3	0010 $\checkmark$
-	5	0101$\checkmark$
3	11	1011$\checkmark$
4	15	1111$\checkmark$

Step 2:

Group	Minterms	variable
-	-	ABCD
0	0,1	000_ $\checkmark$
-	0.2	00_0$\checkmark$
-	0,4	0_00$\checkmark$
1	1,3	00_1$\checkmark$
-	1,5	0_01$\checkmark$
-	2,3	001_ $\checkmark$
-	4,5	010_ $\times$
2	3,11	_011 $\times$
3	11,15	1_11 $\times$

Step 3:

Group	Minterms	variable
-	-	ABCD
0	0,1,2,3	0 0 _ _ A B
-	0,4,1,5	0_0_AC
-	0,2,1,3	0 0 _ _ A B

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