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TranSC: Hardware-Aware Design of Transcendental Functions Using Stochastic Logic

Emerging Technologies 2026-01-13 v1 Robotics Systems and Control Systems and Control

Abstract

The hardware-friendly implementation of transcendental functions remains a longstanding challenge in design automation. These functions, which cannot be expressed as finite combinations of algebraic operations, pose significant complexity in digital circuit design. This study introduces a novel approach, TranSC, that utilizes stochastic computing (SC) for lightweight yet accurate implementation of transcendental functions. Building on established SC techniques, our method explores alternative random sources-specifically, quasi-random Van der Corput low-discrepancy (LD) sequences-instead of conventional pseudo-randomness. This shift enhances both the accuracy and efficiency of SC-based computations. We validate our approach through extensive experiments on various function types, including trigonometric, hyperbolic, and activation functions. The proposed design approach significantly reduces MSE by up to 98% compared to the state-of-the-art solutions while reducing hardware area, power consumption, and energy usage by 33%, 72%, and 64%, respectively.

Keywords

Cite

@article{arxiv.2601.07172,
  title  = {TranSC: Hardware-Aware Design of Transcendental Functions Using Stochastic Logic},
  author = {Mehran Moghadam and Sercan Aygun and M. Hassan Najafi},
  journal= {arXiv preprint arXiv:2601.07172},
  year   = {2026}
}

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12 pages