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State-of-the-art approaches that perform root computations based on the COordinate Rotation Digital Computer (CORDIC) algorithm suffer from high latency in performing multiple iterations. The synthesized results show that our design consumes less area, time, and power without compromising accuracy compared to existing techniques based on the COordinate Rotation Digital Computer (CORDIC) and PWL methods. Based on the results of the segmentor, our design is coded in the Verilog hardware description language. Then, we make a tradeoff between the piecewise number and the fractional word length. The logarithmic function is automatically segmented into several maximal subsections by a software-based segmentation scheme with the restriction of a predefined MAE and a fractional word length for the computing units.
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The proposed method is applicable to any customized floating-point format with a mantissa length of 16–23 bits and a maximum absolute error (MAE) larger than 10 In this brief, we propose a logarithmic converter for floating-point numbers based on the piecewise linear (PWL) approximation method.
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