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Minimize the following expression using Quine McClusky Technique
written 5.5 years ago by | modified 4.6 years ago by |
$$F(A,B,C,D) = \sum m(1,3,7,9,10,11,13,15)$$
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written 5.5 years ago by | modified 4.6 years ago by |
$$F(A,B,C,D) = \sum m(1,3,7,9,10,11,13,15)$$
written 5.5 years ago by | • modified 5.5 years ago |
Step 1. Grouping minterms according to number of 1s
Step 2. Combining minterms in group of two
Step 3. Combining minterms in group of four
Interpreting from the table -
$F(A,B,C,D) = \bar B D + CD + AD$
Step 4. Prime Implicant table
From the prime implicant table, $\bar B D, CD, AD$ are the Essential Prime Implicants.
Hence, the minimized expression will be - $F(A,B,C,D) = \bar B D + CD + AD$