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A Hierarchical Block-Floating-Point Arithmetic

Journal of VLSI signal processing systems for signal, image and video technology, 2000
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kobayashi, Shiro, Fettweis, Gerhard P.
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Floating Point Arithmetic

2012
There are many data processing applications (e.g. image and voice processing), which use a large range of values and that need a relatively high precision. In such cases, instead of encoding the information in the form of integers or fixed-point numbers, an alternative solution is a floating-point representation.
Jean-Pierre Deschamps   +2 more
openaire   +1 more source

Floating Point Arithmetic

2016
Integers are represented on a computer in the form of signed binary numbers. Often 2-, 4- and 8-byte integers are available where a byte possesses eight binary digits. In many computers 4 bytes are the smallest available—addressable—unit of the memory. It may turn out that we can work with one- and 16-byte integers, too.
Gisbert Stoyan, Agnes Baran
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Optimized floating point arithmetic unit

2014 Annual IEEE India Conference (INDICON), 2014
Arithmetic circuits plays an important role in digital systems. Realization of complex digital circuits is possible with development in very large scale integration (VLSI) circuit technology. In this paper an arithmetic unit based on IEEE-754 standard for floating point numbers has been implemented on Spartan3E XC3S500e FPGA Board.
Prateek Singh, Kalyani Bhole
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Floating-Point Arithmetic

2019
You already know about integer arithmetic; now we will introduce some floating-point computations. There is nothing difficult here; a floating-point value has a decimal point in it and zero or more decimals. We have two kinds of floating-point numbers: single precision and double precision.
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A Cordic-based Floating-point Arithmetic Unit

1992 Proceedings of the IEEE Custom Integrated Circuits Conference, 1992
A floating-point arithmetic unit based on the CORDIC algorithm is described. It computes a wide range of arithmetic, trigonometric, and hyperbolic functions and achieves a normalized peak performancle off 220 MFLOPs. The unit is implemented in 1.6pm double-metal CMOS technology and packaged in a 280 pin PGA.
Rix, Bernold   +3 more
openaire   +1 more source

A floating-point residue arithmetic unit

Journal of the Franklin Institute, 1981
Abstract A floating-point arithmetic unit (FPAU), based on the residue number system, is reported which can perform addition, subtraction and multiplication. As a result, several classic problems associated with RNS based digital filters such as: overflow detection, sign detection and non-integer filter coefficients are overcome by virtue of ...
Fred J. Taylor, Chao H. Huang
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Floating Point Arithmetic Circuits

1979
Floating-point arithmetic in hardware still belongs to the more or less expensive extras of many types of computers. The algorism of floating point computation requires more circuits than the ordinary integer arithmetic circuits. A number of these circuits will be discussed in later sections of this chapter.
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Is Floating-Point. Arithmetic Still Adequate?

1988
For complicated numerical problems, the error analysis has to be performed by the computer. Several methods for automated error analysis are known. Floating-point arithmetic has to be augmented and programming languages for scientific computation have to be provided (PASCAL-SC and FORTRAN-SC) for that purpose.
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Quantization errors in floating-point arithmetic

IEEE Transactions on Acoustics, Speech, and Signal Processing, 1978
In this paper, the quantization of the mantissa in a normalized floating-point number is investigated. A necessary and sufficient condition is given for the mantissa to have a reciprocal probability density. A model to represent a floating-point quantizer with the mantissa having a reciprocal density is developed.
Sripad, Anekal B., Snyder, Donald L.
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