A SWIFT AND ORDERLY BINARY ARRANGEMENT ENGINE DEVISED UPON THE BITONIC SORTING STRATAGEM

Abstract

Parallel counters play a critical role in high-speed arithmetic circuits, particularly in fast multipliers and digital signal processing (DSP) units where multiple operands must be summed concurrently. To achieve highperformance accumulation, counters and compressors with superior compression ratios are required. This paper presents the design and analysis of fast saturation binary counters and exact as well as approximate (4:2) compressors based on sorting network architectures. The proposed approach utilizes sorting networks to reorganize input sequences into structured forms that can be efficiently represented using one-hot encoding. Three simplified Boolean expressions are derived to efficiently map the reorganized sequences into compact counter outputs, significantly reducing logic complexity. Furthermore, parallel sorting algorithms are employed to identify and sort the M largest values among N inputs, enabling scalable and modular hardware architectures. The study also explores alternative sorting techniques for maximum value extraction, with a focus on efficient implementation of bitonic sorting through parameter optimization. The proposed designs demonstrate improved scalability, reduced delay, and enhanced computational efficiency suitable for high-speed arithmetic applications.