The Quine-McCluskey Method is a tabular method used for minimizing Boolean functions, especially useful for functions with a large number of variables. It is a systematic way to find the minimal Sum-of-Products (SOP) form. Steps of the Quine-… Continue reading

The Quine-McCluskey Method is a tabular method used for minimizing Boolean functions, especially useful for functions with a large number of variables. It is a systematic way to find the minimal Sum-of-Products (SOP) form.

Steps of the Quine-McCluskey Method

Convert the Boolean function into minterms

Identify the minterms from the truth table or given function.

Represent them in binary form.

Group minterms based on the number of 1s

Arrange minterms into groups according to the number of 1s in their binary representation.

Combine minterms (First Iteration)

Compare minterms in adjacent groups (differing by only one bit).

Replace the differing bit with a dash (‘-’), forming prime implicants.

Repeat until no further combinations are possible

Continue merging minterms iteratively until no more merging is possible.

Construct the Prime Implicant Table

List all essential prime implicants covering the function.

Identify essential prime implicants (terms that cover minterms uniquely).

Select the minimal set of prime implicants

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