There has been spectacular progress in the development of string and su-perstring theories since its inception thirty years ago. Development in this area has never been impeded by the lack of experimental confirmation. Indeed , numerous bold and imaginative strides have been taken and the sheer elegance and logical consistency of the arguments have served as a primary motivation for string theo...

In this paper, a novel 3-moduli set { 2 − 1, 2, 2 − 1 } , which has larger dynamic range when compared to other existing 3-moduli sets is proposed. After providing a proof that this moduli set always results in legitimate RNS, we subsequently propose an associated reverse converter based on the New Chinese Remainder Theorem. The proposed reverse converter has a delay of (4n + 6)tFA with an area...

This whitepaper proposes the design and adoption of a new generation of Tensor Processing Unit (TPU) which has the performance of Google’s TPU, yet performs operations on wide precision data. The new generation TPU is made possible by implementing arithmetic circuits which compute using a new general purpose, fractional arithmetic based on the residue number system (RNS). www.digitalsystemresea...

We study the physics of D–branes in the presence of constant Ramond–Ramond potentials. In the string field theory context, we first develop a general formalism to analyze open strings in gauge trivial closed string backgrounds, and then apply it both to the RNS string and within Berkovits’ covariant formalism, where the results have the most natural interpretation. The most remarkable finding i...

In modern era of advanced computing and high end multimedia there is a need for low power reliable and portable electronic systems. Even though many techniques have been proposed to reduce power over the years, out of all, the best possible solution, so far has been to over scale the power supply. When a system is over scaled the power reduces drastically but this also increases the complexity ...

As embedded and portable systems were emerged power consumption of circuits had been major challenge. On the other hand latency as determines frequency of circuits is also vital task. Therefore, trade off between both of them will be desirable. Modulo adders are important part of the residue number system (RNS) based arithmetic units with the interesting moduli set , , . In this manuscript we h...