Results 111 to 120 of about 322 (162)
Handbook of Floating-Point Arithmetic [PDF]
, 2010 Muller, Jean-Michel +8 more
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2020
Working with big integers can be seen as an abstract art, and if the cryptosystems are not implemented properly, the entire cryptographic algorithm or scheme can lead to a real disaster. This chapter focuses on floating-point arithmetic and its importance for cryptography.
Marius Iulian Mihailescu +1 more
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Working with big integers can be seen as an abstract art, and if the cryptosystems are not implemented properly, the entire cryptographic algorithm or scheme can lead to a real disaster. This chapter focuses on floating-point arithmetic and its importance for cryptography.
Marius Iulian Mihailescu +1 more
+4 more sources
Unnormalized Floating Point Arithmetic
Journal of the ACM, 1959Algorithms for floating point computer arithmetic are described, in which fractional parts are not subject to the usual normalization convention. These algorithms give results in a form which furnishes some indication of their degree of precision. An analysis of one-stage error propagation is developed for each operation; a suggested statistical model ...
Ashenhurst, R. L., Metropolis, N.
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Microprocessors and Microsystems, 1979
So far all the binary numbers considered have been integers with a maximum of 16 bits. Thus it has only been possible to represent numbers in the range Open image in new window or Open image in new ...
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So far all the binary numbers considered have been integers with a maximum of 16 bits. Thus it has only been possible to represent numbers in the range Open image in new window or Open image in new ...
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Roundings in floating point arithmetic
1972 IEEE 2nd Symposium on Computer Arithmetic (ARITH), 1972In this paper we discuss directed roundings and indicate how hardware might be designed to produce proper upward-directed, downward-directed, and certain commonly used symmetric roundings. Algorithms for the four binary arithmetic operations and for rounding are presented, together with proofs of their correctness; appropriate formulas for a priori ...
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Journal of the ACM, 1960
Three types of floating-point arithmetics with error control are discussed and compared with conventional floating-point arithmetic. General multiplication and division shift criteria are derived (for any base) for Metropolis-type arithmetics. The limitations and most suitable range of application for each arithmetic are discussed.
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Three types of floating-point arithmetics with error control are discussed and compared with conventional floating-point arithmetic. General multiplication and division shift criteria are derived (for any base) for Metropolis-type arithmetics. The limitations and most suitable range of application for each arithmetic are discussed.
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A Hierarchical Block-Floating-Point Arithmetic
Journal of VLSI signal processing systems for signal, image and video technology, 2000zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kobayashi, Shiro, Fettweis, Gerhard P.
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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
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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
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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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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), 2014Arithmetic 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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