3 years ago

Radix-10 decimal logarithm by direct selection for 6-input LUTs programmable devices

Martín Vázquez, Lucas Leiva, Gustavo Sutter

Publication date: Available online 9 November 2018

Source: Microprocessors and Microsystems

Author(s): Martín Vázquez, Lucas Leiva, Gustavo Sutter


This paper proposes efficient fixed-point and floating-point implementations for radix-10 decimal logarithm on Xilinx FPGA devices. The technique is based on the digit-recurrence method, which supports the three decimal floating-point (DFP) types specified in the IEEE 754-2008 standard. The novelty of this proposal is that it avoids the implementation of redundant carry-save logic by direct selection (i.e. via scaling). The designs involve novel techniques based on efficient use of dedicated resources in the programmable devices. Implementations were made on Xilinx 7-series devices. For fixed-point logarithm, they are capable of operating up to 145 MHz for p=7, 124 MHz for p=16 and 108 MHz for p=34, and for DFP logarithm the operation frequency obtained was 123 MHz for p=7, 104 MHz for p=16 and 93 MHz for p=34. In contrast to other related works, the proposed architecture achieves better computation times and less occupation in area in terms of LUTs.

You might also like
Discover & Discuss Important Research

Keeping up-to-date with research can feel impossible, with papers being published faster than you'll ever be able to read them. That's where Researcher comes in: we're simplifying discovery and making important discussions happen. With over 19,000 sources, including peer-reviewed journals, preprints, blogs, universities, podcasts and Live events across 10 research areas, you'll never miss what's important to you. It's like social media, but better. Oh, and we should mention - it's free.

  • Download from Google Play
  • Download from App Store
  • Download from AppInChina

Researcher displays publicly available abstracts and doesn’t host any full article content. If the content is open access, we will direct clicks from the abstracts to the publisher website and display the PDF copy on our platform. Clicks to view the full text will be directed to the publisher website, where only users with subscriptions or access through their institution are able to view the full article.