=ADD= =author= Matasaru; Bogdan + Jebelean; Tudor =title= FPGA Implementation of an Extended Binary GCD Algorithm for Systolic Reduction of Rational Numbers =number= 99-48 =month= 11 =year= 1999 =sponsor= Partially supported by a PhD fellowship from the Upper Austrian Government =url= ftp://ftp.risc.uni-linz.ac.at/pub/techreports/1999/99-48.ps.gz =abstract= We present the FPGA implementation of an extension of the binary {\em plus--minus} systolic algorithm which computes the GCD (greatest common divisor) and also the normal form of a rational number, without using division. A sample array for 8 bit operands consumes 83.4\% of an Atmel 40K10 chip and operates at 25 MHz. =keywords= systolic array, rational normalization =howpublished= Submitted to FPLA 2000, Villach, Austria =location= 2 =owner= 2 =source= 3 =reftype= 14