Energy-Efficient Approximate Floating-Point Multiplier Based on Radix-8 Booth Encoding

Rongyu Ding, Yi Guo, Heming Sun, Shinji Kimura

Research output: Contribution to journalConference articlepeer-review

2 Citations (Scopus)


In applications such as digital signal processing and machine learning, the accuracy of internal operations is not so strict due to the limitation of human perception. Approximate computing has been focused as an effective way to trade off energy against accuracy. In this paper, a new type of approximate floating-point (FP) multiplier is proposed by applying radix-8 Booth encoding to the mantissa part. We devise the addition of the triple of multiplicand in radix-8 Booth encoding. Experimental results show the proposed design can achieve significant reduction in area, delay and power up to 66.48%, 23.39% and 69.02% while losing only 0.18% accuracy when compared with the IEEE-754 single precision FP multiplier. The proposed multipliers are applied to image smoothing and image compression and show negligible quality loss.

Original languageEnglish
JournalProceedings of International Conference on ASIC
Publication statusPublished - 2021
Event14th IEEE International Conference on ASIC, ASICON 2021 - Kunming, China
Duration: 2021 Oct 262021 Oct 29


  • Approximate computing
  • a high-speed adder
  • energy efficient.
  • floating-point multiplier
  • radix-8 Booth encoder

ASJC Scopus subject areas

  • Hardware and Architecture
  • Electrical and Electronic Engineering


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