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Although redundant addition is widely used to design parallel multioperand adders for ASIC implementations, the use of redundant adders on Field Programmable Gate Arrays (FPGAs) has generally been avoided. The main reasons are the efficient implementation of carry propagate adders (CPAs) on these devices (due to their specialized carry-chain resources) as well as the area overhead of the redundant...
Recent researches have indicated that multi-operand addition on FPGAs can be efficiently realized as the architecture consisting of a compressor tree which reduces the number of operands and a carry-propagate adder like ASIC by utilizing generalized parallel counters(GPCs). This paper addresses power and delay aware synthesis of GPC-based compressor trees. Based on the observation that dynamic power...
Multi-operand adders usually consist of compression trees which reduce the number of operands per a bit to two, and a carry-propagate adder for the two operands in ASIC implementation. The former part is usually realized using full adders or (3;2) counters like Wallace-trees in ASIC, while adder trees or dedicated hardware are used in FPGA. In this paper, an approach to realize compression trees on...
Recent FPGA architectures facilitate the efficient mapping of high order compressors to implement multi-operand additions. This feature can be used to improve the performance and area utilization of large size multipliers. In this paper we present an improved design approach utilizing ternary adders and Generalized Parallel Compressors, GPCs, for the addition of the partial products. Multipliers of...
Fast carry chains featuring dedicated adder circuitry is a distinctive feature of modern FPGAs. The carry chains bypass the general routing network and are embedded in the logic blocks of FPGAs for fast addition. Conventional intuition is that such carry chains can be used only for implementing carry-propagate addition; state-of-the-art FPGA synthesizers can only exploit the carry chains for these...
Most field programmable gate array (FPGA) devices have a special fast carry propagation logic intended to optimize addition operations. The redundant adders do not easily fit into this specialized carry-logic and, consequently, they require double hardware resources than carry propagate adders, while showing a similar delay for small size operands. Therefore, carry-save adders are not usually implemented...
Decimal arithmetic is important in several commercial applications including financial analysis, banking, tax calculation, currency conversion, insurance, and accounting. This paper presents a fully parallel Decimal64 floating point (FP) multiplier compliant to IEEE Std 754-2008 for floating point arithmetic. The proposed multiplier possesses novel methods to target low latency. The proposed design...
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