Robust transmission of unbounded strings using Fibonacci representations
IEEE Transactions on Information Theory
Data length independent real number representation based on double exponential cut
Journal of Information Processing
Closure and precision in level-index arithmetic
SIAM Journal on Numerical Analysis
The art of computer programming, volume 2 (3rd ed.): seminumerical algorithms
The art of computer programming, volume 2 (3rd ed.): seminumerical algorithms
Journal of the ACM (JACM)
Economical encoding of commas between strings
Communications of the ACM
Information Theory and Reliable Communication
Information Theory and Reliable Communication
Semi-Logarithmic Number Systems
IEEE Transactions on Computers
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A class of new floating-point representations of real numbers, based on representations of the integers, is described. In the class, every representation uses a self-delimiting representation of the integers as a variable length field of the exponent, and neither overflow nor underflow appears in practice. The adopted representations of the integers are defined systematically, so that representation's of numbers greater than one have both exponent-significant and integer-fraction interpretations. Since representation errors are characterized by the length function of an underlying representation of the integers, superior systems in precision can be easily selected from the proposed class.