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A Hardware Algorithm for Integer Division Using the SD2 Representation
Naofumi TAKAGI Shunsuke KADOWAKI Kazuyoshi TAKAGI
IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences
Publication Date: 2006/10/01
Online ISSN: 1745-1337
Print ISSN: 0916-8508
Type of Manuscript: PAPER
Category: VLSI Design Technology and CAD
computer arithmetic, division, integer division, hardware algorithm, signed-digit representation, VLSI,
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A hardware algorithm for integer division is proposed. It is based on the radix-2 non-restoring division algorithm. Fast computation is achieved by the use of the radix-2 signed-digit (SD2) representation. The algorithm does not require normalization of the divisor, and hence, does not require an area-consuming leading-one (or zero) detection nor shifts of variable-amount. Combinational (unfolded) implementation of the algorithm yields a regularly structured array divider, and sequential implementation yields compact dividers.