The numerical system of residual classes in mathematical machines

• Autores: Antonin Svoboda
• Localización: Actas, 1961, págs. 388-397
• Idioma: inglés
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• Resumen

  • Switching circuits for arithmetic operations are usually developed from algorithms based on the polyadic representation of numbers (integers and fractions). A few years ago M. Valach [1] pointed out that it is possible to design very simple switching circuits for multiplication and addition of integers if we based the coding on the Algebra of residual Classes. In an other paper A. Svoboda and M. Valach [2] introduced the numerical System of Residual Classes (SRC) for integers. This system was extended by A. Svoboda to cover operations with fractions, their rounding off and approximations. The extended system was called Rational System of Residual Classes (RSRC) [3]. In the present paper we will discuss some applications of this system in the logical design of automatic computers.