Unnormalized Floating Point Arithmetic
Journal of the ACM (JACM)
An example in “significant-digit” arithmetic
Communications of the ACM
Significance arithmetic on a digital computer
Communications of the ACM
Digital Circuits and Logic Design
Digital Circuits and Logic Design
An Interpolating Memory Unit for Function Evaluation: Analysis and Design
IEEE Transactions on Computers
Redundant Logarithmic Arithmetic
IEEE Transactions on Computers
Applying Aeatures of IEEE 754 to Sign/Logarithm Arithmetic
IEEE Transactions on Computers - Special issue on computer arithmetic
ARVLSI '99 Proceedings of the 20th Anniversary Conference on Advanced Research in VLSI
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FOCUS is a number system and supporting computational algorithms especially useful for microcomputer control and other signal processing applications. FOCUS has the wide-ranging character of floating-point numbers with a uniformity of state distributions that give FOCUS better than a twofold accuracy advantage over an equal word length floating-point system. FOCUS computations are typically five times faster than single precision fixed-point or integer arithmetic for a mixture of operations, comparable in speed with hardware arithmetic for many applications. Algorithms for 8-bit and 16-bit implementations of FOCUS are included.