• Efficient Floating-Point Representation for Balanced Codes for FPGA Devices 

      Villalba-Moreno, Julio; Hormigo-Aguilar, Javier; Corbera, Francisco; Gonzalez, Mario; López-Zapata, Emilio (2013-10-30)
      We propose a floating–point representation to deal efficiently with arithmetic operations in codes with a balanced number of additions and multiplications for FPGA devices. The variable shift operation is very slow in ...
    • Fast HUB Floating-point Adder for FPGA 

      Villalba-Moreno, Julio; Hormigo-Aguilar, Javier; Gonzalez-Navarro, Sonia (2018-10-17)
      Several previous publications have shown the area and delay reduction when implementing real number computation using HUB formats for both floating-point and fixed-point. In this paper, we present a HUB floating-point ...
    • Measuring Improvement when Using HUB Formats to Implement Floating-Point Systems under Round-to-Nearest 

      Hormigo-Aguilar, Javier; Villalba-Moreno, Julio (IEEE, 2016)
      This paper analyzes the benefits of using HUB formats to implement floating-point arithmetic under round-tonearest mode from a quantitative point of view. Using HUB formats to represent numbers allows the removal of the ...
    • New formats for computing with real-numbers under round-to-nearest 

      Hormigo-Aguilar, Javier; Villalba-Moreno, Julio (2015-09-17)
      In this paper, a new family of formats to deal with real number for applications requiring round to nearest is proposed. They are based on shifting the set of exactly represented numbers which are used in conventional ...
    • Reproducible SUmmation under HUB Format 

      Villalba-Moreno, Julio; Hormigo-Aguilar, Javier; Jaime Rodriguez, Francisco Jose
      Floating point reproducibility is a property claimed by programmers and end users. Half-Unit-Biased (HUB) is a new representation format in which the round to nearest is carried out by truncation, preventing any ...
    • Simplified Floating-Point Units for High Dynamic Range Image and Video Systems 

      Hormigo-Aguilar, Javier; Villalba-Moreno, Julio (2015-06-29)
      The upcoming arrival of high dynamic range image and video applications to consumer electronics will force the utilization of floating-point numbers on them. This paper shows that introducing a slight modification on ...
    • Unbiased Rounding for HUB Floating-point Addition 

      Villalba, Julio; Hormigo, Javier; González-Navarro, Sonia; Villalba-Moreno, Julio; Hormigo-Aguilar, Javier; [et al.] (2018-06-28)
      Half-Unit-Biased (HUB) is an emerging format based on shifting the represented numbers by half Unit in the Last Place. This format simplifies two’s complement and roundto- nearest operations by preventing any carry ...