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Chapter: Digital Electronics : Minimization Techniques and Logic Gates

Quine Mccluskey (Tabular) Minimization

Two step process utilizing tabular listings to: § Identify prime implicants (implicant tables) § Identify minimal PI set (cover tables)

QUINE-MCCLUSKEY (TABULAR) MINIMIZATION:

 

·              Two step process utilizing tabular listings to:

§          Identify prime implicants (implicant tables)

 

§          Identify minimal PI set (cover tables)

 

·              All work is done in tabular form

§          Number of variables is not a limitation

 

§          Basis for many computer implementations

 

§          Don’t cares are easily handled

 

·              Proper organization and term identification are key factors for correct results notation forms:

 

·              Full variable form - variables and complements in algebraic form

§          hard to identify when adjacency applies

 

§          very easy to make mistakes

 

·              Cellular form - terms are identified by their decimal index value

 

§          Easy to tell when adjacency applies; indexes must differ by power of two (one bit)

 

§          Implicants identified by term nos. separated by comma; differing bit pos. in () following terms

 

·              1,0,- form - terms are identified by their binary index value

§          Easier to translate to/from full variable form

 

§          Easy to identify when adjacency applies, one bit is different

 

§          - shows variable(s) dropped when adjacency is used

 

·              Different forms may be mixed during the minimization

 

 
















 

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Digital Electronics : Minimization Techniques and Logic Gates : Quine Mccluskey (Tabular) Minimization |


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