Modulo adder

Communications: electrical – Audible indication – Percussion-type sound producer

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340347M, 364746, H03M 112

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active

045982660

ABSTRACT:
A modulo 2.sup.2n -1 adder employing adders which may all be standard binary adders. A first binary adder sums binary input signals a and b to produce a first sum signal in which the n+2 more significant bits represent the integer part of (a+b)/2.sup.2n (i.e., of a+b taken modulo 2.sup.2n). A second binary adder subtracts these n+2 more significant bits from a 2n bit shifted (less significant bits) version thereof for producing a first difference signal which is subtracted from the first sum signal in a third binary adder to produce a binary signal R. The signal R is applied to one input of a fourth binary adder which produces the desired modulo 2.sup.2n -1 signal. A comparator circuit applies a constant (2.sup.2n -1) to a difference input of the fourth binary adder only when R is greater than or equal to this constant.

REFERENCES:
W. K. Jenkins, ICASSP 1978, pp. 804-807, "Residue-to-Analog Conversion".
F. J. Taylor et al., CAS 1981, pp. 1164-1169, "Residue-to-Decimal Converter"; IEEE Transactions.
M. A. Soderstrand et al., 1983 IEEE Trans. CAS-30, pp. 903-907 "RNS D/A Converter".
W. K. Jenkins, IEEE Trans. CAS, vol. 25, 1978, pp. 555-562, "Residue-to-Analog Conversion".
Arora et al., Proc. Fifth Symp. on Computer Arithmetic, "Conversion Scheme in Residue Code" 1981, 5/18-5/19.
M. A. Soderstrand et al., ICAS 1984, pp. 1455-1458, "Pipelined IIR RNS Digital Filters".

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