Logical Function Decomposition Method for Synthesis of Digital Logical System Implemented with Programmable Logic Devices (PLD)
- 1 Automatic Control and Computer Engineering Faculty, Technical University Gh.Asachi, Iasi, Romania
- 2 Automatic Control and Computer Engineering Faculty, Technical University Gh.Asachi, Iasi, Romania
- 3 Automatic Control and Computer Engineering Faculty, Technical University Gh.Asachi, Iasi, Romania
- 4 Automatic Control and Computer Engineering Faculty, Technical University Gh.Asachi, Iasi, Romania
Abstract
The paper consists in the use of some logical functions decomposition algorithms with application in the implementation of classical circuits like SSI, MSI and PLD. The decomposition methods use the Boolean matrix calculation. It is calculated the implementation costs emphasizing the most economical solutions. One important aspect of serial de composition is the task of selecting “ best candidate ” variables for the G function. Decomposition is essentially a pro cess of substituting two or more input variables with a lesser number of new variables. This substitutes results in the reduction of the number of rows in the truth table. Hence, we look for variables which are most likely to reduce the nu mber of rows in the truth table as a result of decomposition. Let us consider an input variable purposely avoiding all in ter-relationships among the input variables. The only available parameter to evaluate its activity is the number of “ l ” s or “ O ” s that it has in the truth table. If the variable has only “ 1 ” s or “ 0 ” s, it is the “ best candidate ” for decomposition, as it is practically redundant.
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