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Exact Floating Point

2021
Standard IEEE floating point, which defines the representation and calculations of real numbers using a binary representation similar to scientific notation, does not define an exact floating-point result. In contrast, here we use a patented bounded floating-point (BFP) device and method for calculating and retaining the precision of the floating-point
Alan A. Jorgensen, Andrew C. Masters
openaire   +1 more source

Fixed point versus floating point

SIMULATION, 1968
This paper discusses the advantages of using fixed-point arithmetic in a hybrid environment. The particular ex ample used is that of a hybrid simulation system. The paper discusses the performance penalties which are paid in using floating-point arithmetic as opposed to fixed-point arithmetic.
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Floating-Point Arithmetic

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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Arbitrary-Precision Floating Point

2017
Floating-Point numbers using the IEEE standard have a fixed number of bits associated with them. This limits the precision with which they can represent actual real numbers. In this chapter we examine arbitrary precision, also called multiple precision, floating-point numbers. We look at how they are represented in memory and how basic arithmetic works.
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Floating-Point Numbers

2021
So far, the only numbers we’ve dealt with are integers—numbers with no decimal point. Computers have a general problem with numbers with decimal points, because computers can only store fixed-size, finite values. Decimal numbers can be any length, including infinite length (think of a repeating decimal, like the result of 1/3).
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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
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Floating a Point

1986
So far throughout this introduction to assembly language programming we have only been concerned with integers, or whole numbers. As in the real world though, floating point numbers also exist in the machine code world. A floating point number is one that contains a decimal point (although in binary this is more correctly referred to as a ‘bicimal ...
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Floating-Point Numbers

1995
Floating-point storage of data takes care of many of the nasty problems that occur when you are using integers and fixed-point numbers. But floating-point storage has its own problems.
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Decimal Floating Point

2015
Decimal floating-point is an emerging standard which uses base 10 instead of base 2 to represent floating-point numbers. In this chapter we will take a look at how decimal floating-point numbers are stored using the IEEE 754-2008 standard as our reference.
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Floating Point

2021
Antonio Lloris Ruiz   +4 more
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