Abstract: The authors show how the Euclidean algorithm fits into the behavioral framework of exact modeling and how it computes solutions of the scalar minimal partial realization problem. It turns ...

In this paper, a new mathematical method is used to study the indefinite equations of binary quadratic and binary arbitrary order, the problem of judging and solving these indefinite equations with or ...

1 Grupo de Investigación de Análisis Matemático, Instituto de Formación docente Salomé Ureña, Santo Domingo, D.N., República Dominicana. 2 Wake Forest University, Winstom-Salem, NC, USA. In this paper ...

Finds the GCD using the euclidean algorithm or finds a linear combination of the GCD using the extended euclidean algorithm with all steps/work done shown ...

Abstract: This paper presents a new area-efficient architecture to implement the Euclidean algorithm, which is frequently used in Reed-Solomon decoders. The RS (255,239) decoder using the Euclidean ...

The Euclidean algorithm works with numbers of any size. To find the greatest common divisor of 77 and 187 using the Euclidean algorithm involves the process of long division, which you might have ...