A simple redundant binary number representation suitable for digital-optical computers is presented. By means of this representation it is possible to build an arithmetic with carry-free parallel algebraic sums carried out in constant time and parallel multiplication in log N time. This redundant number representation naturally fits the 2's complement binary number system and permits the construction of inherently parallel arithmetic units that are used in various optical technologies. Some properties of this number representation and several examples of computation are presented.
Redundant binary number representation for an inherently parallel arithmetic on optical computers / DE BIASE, Giuseppe Alberto; Massini, Annalisa. - In: APPLIED OPTICS. - ISSN 0003-6935. - STAMPA. - 32:(1993), pp. 659-664. [10.1364/AO.32.000659]
Redundant binary number representation for an inherently parallel arithmetic on optical computers
DE BIASE, Giuseppe Alberto;MASSINI, Annalisa
1993
Abstract
A simple redundant binary number representation suitable for digital-optical computers is presented. By means of this representation it is possible to build an arithmetic with carry-free parallel algebraic sums carried out in constant time and parallel multiplication in log N time. This redundant number representation naturally fits the 2's complement binary number system and permits the construction of inherently parallel arithmetic units that are used in various optical technologies. Some properties of this number representation and several examples of computation are presented.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
