A novel logic design style for negative differential resistance (NDR) device based MOBILE circuits is introduced. Enjoying a reduced number of NDR devices, it eases circuit design, brings essential power savings, and should improve circuit manufacturability.

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In this paper, we present a new residue number system (RNS) {2 n − 1, 2 n , 2 n + 1, 2 n+1 + 1, 2 n−1 + 1} of five wellbalanced moduli that are co-prime for odd n. This new RNS complements the 5-moduli RNS system proposed before for even n {2 n − 1, 2 n , 2 n + 1, 2 n+1 − 1, 2 n−1 − 1}. With the new set, we also present a novel approach to designing multimoduli reverse converters that focuses strongly on moving a significant amount of computations off the critical path. The synthesis of the resulting design over the ST Microelectronics 65nm LP library demonstrates that the delay, area, and power characteristics improve the performance and power consumption of the existing complementary 5-moduli set.

ABSTRACT2's complement number system imposes a fundamental limitation on the power and performance of arithmetic circuits, due to the fundamental need of cross-datapath carry propagation. Residue Number System (RNS) breaks free of these bonds by decomposing a number into parts and performing arithmetic operations in parallel, significantly reducing the breadth of carry propagation. Consequently, RNS arithmetic has been proposed as a solution to improve the powerefficiency of arithmetic hardware. However, limitations of the expressiveness of RNS in terms of arithmetic operations together with overheads related to interaction with 2's complement arithmetic make programmable processor design that takes advantage of these benefits challenging. In this paper we meet this challenge by multi-tier synergistic co-design of architecture, micro-architecture, hardware components, as well as compilation techniques. Our experiments not only demonstrate simultaneous improvement of up to 30% in performance and 57% reduction in functional unit power consumption, but also that most of these benefits can be exploited with automatically generated code.

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