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Division Using a Logarithmic-Exponential Transform to Form a Short Reciprocal
November 1995 (vol. 44 no. 11)
pp. 1326-1330

Abstract—Two trees are used sequentially to calculate an approximation to 1/A, where 1 ≤A < 2. These trees calculate the logarithm and exponential, and the division (reciprocation) process can be described by 1/A=e−lnA. For bit skip accuracy of six to 10, this logarithmic-exponential method uses significantly less hardware with respect to the scheme in [3], and the delays may be greater or less than those of [3], depending on the method used and the minimum bit skip.

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Index Terms:
Array, division, exponential, logarithm, reciprocation, tree.
David M. Mandelbaum, "Division Using a Logarithmic-Exponential Transform to Form a Short Reciprocal," IEEE Transactions on Computers, vol. 44, no. 11, pp. 1326-1330, Nov. 1995, doi:10.1109/12.475129
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