All quantities have the properties of value, significance, and
dimensionality. However, the IEEE floating point standards arbitrarily
discard significance, even though the methodology of manipulating
significance was worked out in 1959. These methods are fairly simple -
in many cases simply omitting the post-normalization operation. However,
this can't be done when the position of the most significant bit is
assumed as in the IEEE standards.
Now, this universal absence of capability plays havoc on financial
I am a co-author of a peer-reviewed paper explaining these issues and
It is my hope that something can be worked out to expand the IEEE
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