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A program for testing IEEE decimalbinary conversion
, 1991
"... Regardless of how accurately a computer performs floatingpoint operations, if the data to operate on must be initially converted from the decimalbased representation used by humans into the internal representation used by the machine, then errors in that conversion will irrevocably pollute the res ..."
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Regardless of how accurately a computer performs floatingpoint operations, if the data to operate on must be initially converted from the decimalbased representation used by humans into the internal representation used by the machine, then errors in that conversion will irrevocably pollute the results of subsequent
On intermediate precision required for correctlyrounding decimaltobinary floatingpoint conversion
 In Proceedings of 6th Conference Real Numbers and Computers (RNC’6). Schloss Dagstuhl
"... The algorithms developed ten years ago in preparation for IBM’s support of IEEE FloatingPoint on its mainframe S/390 processors use an overly conservative intermediate precision to guarantee correctlyrounded results across the entire exponent range. Here we study the minimal requirement for both b ..."
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The algorithms developed ten years ago in preparation for IBM’s support of IEEE FloatingPoint on its mainframe S/390 processors use an overly conservative intermediate precision to guarantee correctlyrounded results across the entire exponent range. Here we study the minimal requirement for both bounded and unbounded precision on the decimal side (converting to machine precision on the binary side). An interesting new theorem on Continued Fraction expansions is offered, as well as an open problem on the growth of partial quotients for ratios of powers of two and five. Key words: FloatingPoint conversion, Continued Fractions 1
Real inferno
 In [Boisvert
, 1997
"... Inferno is an operating system well suited to applications that need to be portable, graphical, and networked. This paper describes the fundamental �oating point facilities of the system, including: tight rules on expression evaluation, binary�decimal conversion, exceptions and rounding, and the ele ..."
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Inferno is an operating system well suited to applications that need to be portable, graphical, and networked. This paper describes the fundamental �oating point facilities of the system, including: tight rules on expression evaluation, binary�decimal conversion, exceptions and rounding, and the elementary function library. Although the focus of Inferno is interactive media, its portability across hardware and operating platforms, its relative simplicity, and its strength in distributed computing make itattractive for advanced scienti�c computing as well. Since the appearance of a new operating system is a relatively uncommon event, this is a special opportunity for numerical analysts to voice their opinion about what fundamental facilities they need. The purpose of this short paper is to describe numerical aspects of the initial release of Inferno, and to invite comment before the tyranny of backward compatibility makes changes impossible. Overviews can be found at
add support for IEEE FloatingPoint arithmetic to the
"... arithmetic IEEE Binary FloatingPoint is an industrystandard architecture. The IBM System/360 TM hexadecimal floatingpoint architecture predates the IEEE standard and has been carried forward through the System/370 TM to current System/390 ® processors. The growing importance of industry standards ..."
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arithmetic IEEE Binary FloatingPoint is an industrystandard architecture. The IBM System/360 TM hexadecimal floatingpoint architecture predates the IEEE standard and has been carried forward through the System/370 TM to current System/390 ® processors. The growing importance of industry standards and floatingpoint combined to produce a need for IEEE FloatingPoint on System/390. At the same time, customer investment in IBM floatingpoint had to be preserved. This paper describes the architecture, hardware, and software efforts that combined to produce a conforming implementation of IEEE FloatingPoint on System/390 while retaining compatibility with the original IBM architecture.