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A new addition algorithm, ELM, is presented. This algorithm makes use of a tree of simple processors and requires O(log n) time, where n is the number of bits in the augend and addend. The sum itself is computed in one pass through the tree. This algorithm was discovered by a VLSI CAD tool, FACTOR, developed for use in synthesizing CMOS VLSI circuits.< <ETX xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">></ETX>
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Kelliher et al. (1992) studied this question.
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