An example in “significant-digit” arithmetic
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Different methods of handling the summing process for the geometric series are shown to give results indicating widely differing significances when carried out in a machine incorporating “significant-digit” arithmetic.
[1] W. G. Wadey. Floating-Point Arithmetics , 1960, JACM.
[2] John W. Carr,et al. Error analysis in floating point arithmetic , 1959, CACM.