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Title: Thermometer code based modular arithmetic
Authors: Vun, Chan Hua
Premkumar, Annamalai Benjamin
Keywords: DRNTU::Engineering::Computer science and engineering
Issue Date: 2012
Source: Vun, C. H., & Premkumar, A. B. (2012). Thermometer code based modular arithmetic. 2012 Spring Congress on Engineering and Technology, pp1-5.
Abstract: This paper presents a novel approach to perform modular arithmetic addition and subtraction using base-1 thermometer code data format for operands corresponding to the residues of the same modulus. Two n-bit thermometer code operands are first concatenated and logically shifted to produce a normalized 2n-bit thermometer code intermediate sum. Modulo operation is then applied to this 2n-bit intermediate sum to produce an n-bit datum corresponding to the modular sum of the two input operands. This approach greatly simplifies the modulo addition operation by eliminating the carry bit propagation during the arithmetic operation encountered when using the conventional base-2 binary code data format. It also enables practical applications of modular arithmetic for signal processing algorithms in a very efficient way. Circuit for implementing the modular arithmetic units using multiplexers and basic logic gates are also described in this paper.
DOI: 10.1109/SCET.2012.6342081
Rights: © 2012 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works. The published version is available at: [].
Fulltext Permission: open
Fulltext Availability: With Fulltext
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