Abstract

In this article, it is shown that although the reverse conversion scheme for binary signed-digit number system proposed by Choo et. al. can not support full parallelism; the rules on which it is based are correct. In this connection, a mathematical induction technique is used to validate the decomposition rules. Accordingly, it can be inferred that the reverse conversion scheme for binary signed-digit number system proposed by Veeramachaneni et. al. works correctly and performs reverse conversion in Ω (log n) time, where, n is the input size. As a consequence, the scheme by Veeramachaneni et. al. need to be considered as a potential contender of the more recent schemes for the same. General Terms Unconventional Number System, Computer Arithmetic Algorithm.

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