Radix Conversion for IEEE754-2008 Mixed Radix Floating-Point Arithmetic

Conversion between binary and decimal floating-point representations is ubiquitous. Floating-point radix conversion means converting both the exponent and the mantissa. We develop an atomic operation for FP radix conversion with simple straight-line algorithm, suitable for hardware design. Exponent conversion is performed with a small multiplication and a lookup table. It yields the correct result without error. Mantissa conversion uses a few multiplications and a small lookup table that is shared amongst all types of conversions. The accuracy changes by adjusting the computing precision

Printing Floating-Point Numbers Quickly and Accurately

This paper presents a fast and accurate algorithm for printing floating-point numbers in both free- and fixed-format modes. In free-format mode, the algorithm generates the shortest, correctly rounded output string that converts to the same number when read back in, accommodating whatever rounding mode the reader uses. In fixed-format mode, the algorithm generates a correctly rounded output string using special # marks to denote insignificant trailing digits. For both modes, the algorithm employs a fast estimator to scale floating-point numbers efficiently. Keywords: floating-point printing, run-time systems 1 Introduction In this paper we present an efficient floating-point printing algorithm, which solves the output problem of converting floating-point numbers from an input base (usually a power of two) to an output base (usually ten). The algorithm supports two types of output, free format and fixed format. For free-format output the goal is to produce the shortest, correctly ro..

Printing Floating-Point Numbers Quickly and Accurately

This paper presents a fast and accurate algorithm for printing floating-point numbers in both free- and fixed-format modes. In free-format mode, the algorithm generates the shortest, correctly rounded output string that converts to the same number when read back in, regardless of how the reader breaks ties when rounding. In fixed-format mode, the algorithm generates a correctly rounded output string using special # marks to denote insignificant trailing digits. For both modes, the algorithm employs a fast estimator to scale oating-point numbers efficiently

Abstract Printing Floating-Point Numbers Quickly and Accurately

This paper presents a fast and accurate algorithm for printing floating-point numbers in both free- and fixed-format modes. In free-format mode, the algorithm generates the shortest, correctly rounded output string that converts to the same number when read back in, regardless of how the reader breaks ties when rounding. In fixed-format mode, the algorithm generates a correctly rounded output string using special # marks to denote insignificant trailing digits. For both modes, the algorithm employs a fast estimator to scale floating-point numbers efficiently