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Arbitrary-Precision Floating Point
2017Floating-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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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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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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Formal Verification of Floating-Point Hardware Design: A Mathematical Approach
Formal Verification of Floating-Point Hardware Design, 2nd Edition, 2022David M. Russinoff
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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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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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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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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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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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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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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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