面积高效融合浮点三项加法器

P. M. Drusya, Dr.Vinodkumar Jacob
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引用次数: 6

摘要

加法是许多算法和应用中最常用的运算。浮点表示的有限精度需要舍入,并且基本上使FP加法对操作数顺序敏感。当使用2输入浮点加法器网络添加多个FP操作数时,最终结果中的误差可能很大。此外,在电路上使用几个双输入浮点加法器可能会导致长时间的延迟,而集成解决方案可以避免这种延迟。与传统的两项浮点加法器网络相比,融合的三项浮点加法器在单个单元中执行两次加法,以获得更好的性能和更高的精度。浮点运算需要复杂的过程,如对齐、归一化和舍入,这会增加面积、功耗和延迟。为了进一步提高三项加法器的性能,采用了几种优化技术,包括新的指数比较和显著对齐、双重约简、早期归一化、三输入前导零预测、复合加法/舍入和流水线。该设计是在单精度下实现的。本文试图展示一种新的融合浮点三项加法器的设计。
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Area efficient fused floating point three term adder
Addition is the most frequently used operation in many algorithms and applications. The limited precision in the floating point representation requires rounding and basically makes the FP addition sensitive to the operand order. When adding multiple FP operands using a network of 2-input floating point adders, the error in the final result can be significant. Besides, the use of several two input floating point adders on a circuit may result in long delays that could be avoided with an integrated solution. The fused three-term floating-point adder performs two additions in a single unit to achieve better performance and better accuracy compared to a network of traditional floating-point two-term adders. Floating-point operations require complex processes such as alignment, normalization and rounding, which increases the area, power consumption and latency. In order to further improve the performance of the three-term adder, several optimization techniques are applied including a new exponent compare and significand alignment, dual-reduction, early normalization, three-input leading zero anticipation, compound addition/rounding and pipelining. The proposed design is implemented for single precision. This paper is trying to demonstrate a novel design for fused floating point three term adder.
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