ACM Computing Surveys (CSUR)
Communications of the ACM - Special issue on computer architecture
Structure of Computers and Computations
Structure of Computers and Computations
A study of methods for selection of quotient digits during digital division
A study of methods for selection of quotient digits during digital division
IEEE Transactions on Computers
Online pipeline systems for recursive numeric computations
ISCA '80 Proceedings of the 7th annual symposium on Computer Architecture
Reconfigurable Pipeline Systems
ACM '78 Proceedings of the 1978 annual conference
IEEE Transactions on Computers
Techniques to Reduce the Inherent Limitations of Fully Digit On-Line Arithmetic
IEEE Transactions on Computers
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A division algorithm suitable for pipelining is presented. The algorithm possesses the on-line property: that is, to generate the jth digit of a result (where a digit consists of n bits for base 2n), it is necessary and sufficient to have the operands available only up to the jth digit plus a predetermined number of extra digits which correspond to an “on-line delay”. This delay is shown to be a small, positive, radix dependent constant. The implementation of this algorithm and the implications on cost and speed are then presented. Finally, alterations in the design making the algorithm suitable for pipelining and its benefits are discussed.