2003Unpublished venueRequires access

Implementation of module combining multiplication, division, and square root

M.D. Ercegovac, Thomas A. Lang

Open publisher page 10 citations

Abstract

The implementation of a module that performs radix-2 multiplication, division, and square root is presented. The module is compact because most of the components are shared by all three operations, the complexity being similar to that of a radix-2 divider. All three operations have the same execution time; one bit of the result is produced per cycle, beginning with the most significant bit. The cycle time is kept small by the use of carry-save addition and result-digit selection based on a low-precision estimate of the partial remainder. The module incorporates on-the-fly conversion and routing of the result.>

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What this paper is about

The implementation of a module that performs radix-2 multiplication, division, and square root is presented. The module is compact because most of the components are shared by all three operations, the complexity being similar to that of a radix-2 divider. All three operations have the same execution time; one bit of the result is produced per cycle, beginning with the most significant bit. The cycle time is kept small by the use of carry-save addition and result-digit selection based on a low-precision estimate of the partial remainder. The module incorporates on-the-fly conversion and routing of the result.>

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OpenAlex reports 10 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

The implementation of a module that performs radix-2 multiplication, division, and square root is presented. The module is compact because most of the components are shared by all three operations, the complexity being similar to that of a radix-2 divider. All three operations have the same execution time; one bit of the result is produced per cycle, beginning with the most significant bit. The cycle time is kept small by the use of carry-save addition and result-digit selection based on a low-precision estimate of the partial remainder. The module incorporates on-the-fly conversion and routing of the result.>

Key concepts: Division (mathematics), Multiplication (music), Arithmetic, Square root, Radix (gastropod), Computer science, Root (linguistics), Remainder

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