Fixed-Posit: A Floating-Point Representation for Error-Resilient Applications

Also Available Domains Xilinx ISE

Project Code :TVPGTO714



IEEE-754 floating point is the standard used today to represent real numbers in practically all computer systems. Recently, posit—which offers superior accuracy and a wider dynamic range—was suggested as a substitute for IEEE-754 floating point. Posit may be customized to have a different amount of regime and exponent bits, which has prevented widespread use. We suggest a fixed-posit format to address this flaw and show the construction of a fixed-posit multiplier. In this representation, the number of regime and exponent bits are fixed. Using the AxBench, OpenBLAS, and neural network benchmarks as well as error-tolerant applications, we assess the fixed-posit multiplier. When compared to posit multipliers, the proposed fixed-posit multiplier saves 47%, 38.5%, 22%, and up to 70%, 66%, 26% of the power, area, and latency of the 32-bit IEEE-754 multiplier, respectively. For workloads using OpenBLAS and AxBench, these savings come with a negligible output quality reduction (1.2% average relative error). Additionally, we see a tiny accuracy reduction (0.12%) when using the fixed-posit multiplier for neural networks like ResNet-18 on ImageNet.

Keywords: IEEE-754 floating point, Posit, Multipliers, Intel Pin, Power and Error analysis

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Block Diagram



Software Requirements:

·         Xilinx Vivado

Hardware Requirements:

·         Microsoft® Windows 7

·         Intel® i3 processor or equivalent with SSE support

·         4GB RAM

·         100 MB of available disk space

Learning Outcomes

Learning Outcomes:

  • Introduction to VLSI
    • Basics of Digital circuits
    • Limitations & Applications.
  • Introduction to adders
    • Knowledge on different types of multipliers
    • Applications
  • Introduction to posit multiplier
    • Working of posit multiplier
    • Applications
  • Importance of Verilog
  • Xilinx Vivado tool for design and simulation
  • Solution providing for real time problems
  • Project Development Skills:
      •  Problem Analysis Skills
      • Problem Solving Skills
      • Logical Skills
      • Designing Skills
      • Testing Skills
      • Debugging Skills
      • Presentation skills

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