Quine-Mccluskey Method

 Quine-Mccluskey Method

It also known as Tabular method. It is more systematic method of minimizing expressions of even larger number of variables. It is suitable for hand computation as well as computation by machines i.e., programmable. . The procedure is based on repeated application of the combining theorem. PA+P =P (P is set of literals) on all adjacent pairs of terms, yields the set of all PI‘s from which a minimal sum may be selected. 

Consider expression

∑m(0,1,4,5)= + C+A +A C

First, second terms & third, fourth terms can be combined

( + )+ (C+ )= +A

Reduced to

(      +    )=

The same result can be obtained by combining m0& m4 & m1&m5 in first step & resulting terms in the second step.

Procedure:

  • Decimal Representation
  • Don‘t cares
  • PI chart
  • EPI
  • Dominating Rows & Columns
  • Determination of Minimal expressions in comples cases.

Branching Method:


Example


















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