M. Bhardwaj et al., BREAKING THE 2N-BIT CARRY PROPAGATION BARRIER IN RESIDUE TO BINARY CONVERSION FOR THE [2(N)-1, 2(N), 2(N)+1] MODULA SET, IEEE transactions on circuits and systems. 1, Fundamental theory andapplications, 45(9), 1998, pp. 998-1002
This brief presents a high speed realization of a residue to binary co
nverter for the {2(n-1),2(n),2(n) + 1} moduli set, which improves upon
the best known implementation by almost twice in terms of overall con
version delay. This significant speedup is achieved by using just thre
e extra two input logic gates. Interestingly, by exploiting certain sy
mmetry in operands, we also reduce the hardware requirement of the bes
t known implementation by n - 1 full adders. Finally, the proposed con
verter eliminates the redundant representation of zero using no extra
logic.