Multi-stage floating-point accumulator
An accumulator, floating-point technology, used in instruments, data transformation, calculations, etc., to solve problems such as limiting the speed at which the processor can operate
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[0015] The word "exemplary" is used herein to mean "serving as an example, instance, or illustration." Any embodiment or design described herein as "exemplary" is not necessarily to be construed as preferred or advantageous over other embodiments or designs.
[0016] Floating-point accumulation in one stage can be expressed as:
[0017] Σ i = 1 n X i = Σ i = 1 n - 1 X i + X n , For 1≤n≤N,
[0018] Equation (1)
[0019] where n is the index of the floating-point value being accumulated,
[0020] x n is the nth floating-point value being accumulated, where X 0 = 0, and
[0021] N...
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