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Simplify using $\theta$ using Mc.clusky method.
written 4.9 years ago by gravatar for teamques10 teamques10 ★ 64k modified 2.2 years ago by gravatar for sagarkolekar sagarkolekar ★ 11k
digital logic design
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written 2.2 years ago by gravatar for sagarkolekar 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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