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1
Write Great Code: Understanding the Machine
There are two ways computer systems commonly represent numbers with
fractional components: fixed-point representation and floating-point
representation. Back in the days when CPUs didn't support floating-point
arithmetic in hardware, ...
2
Numerical Mathematics and Computing
Representation. Before the Standard for Floating-Point Arithmetic (IEEE-754) was
established in the early 1980s, computers used many different forms of floating-
point representation, differing in the word length, the format of the representation
...
E. Cheney, David Kincaid, 2012
3
COMPUTER ORGANIZATION AND ARCHITECTURE
Thus, using a given six-digit register with one sign bit, the normalized floating
point representation is able to store a much larger range of numbers. The price
paid, namely the loss of two significant digits in order to do this, is well worth it.
V. RAJARAMAN, T. RADHAKRISHNAN, 2007
4
ARM System Developer's Guide: Designing and Optimizing ...
We could use a floating-point representation for x[t]. This would certainly meet our
dynamic range and accuracy constraints, and it would also be easy to manipulate
using the C type float. However, most ARM cores do not support floating point ...
Andrew Sloss, Dominic Symes, Chris Wright, 2004
5
Introduction to Computers' 1999 Ed.1999 Edition
FLOATING-POINT REPRESENTATION OF NUMBERS In most computing
applications, fractions are used very frequently. So a system of number
representation which automatically keeps track of the position of the binary or
decimal point is ...
6
COMPUTER ORGANIZATION AND DESIGN
This brings uniformity in representing zero in fixed point or floating point
representation. Such uniform representation enables the designer to use the
same circuit to implement Test for zero instruction, irrespective of fixed point or
floating point ...
7
Numerical Computing with IEEE
Floating Point Arithmetic:
Floating point representation is based on exponential (or scientific) notation. In
expo- nential notation, a nonzero real number x is expressed in decimal as and E
is an integer. The numbers S and E. x=±S× 10E, where 1 ≤ S< 10, 7Also known
...
8
Modern Mathematical Methods for Physicists and Engineers
Simulations of such a natural phenomenon in a floating-point representation with
precision p cannot accurately predict the outcome of a particular initial condition
for times longer than ph/X. This is why weather, for example, cannot accurately ...
9
Numerical Linear Algebra
In practice, the floating-point representation is more elaborate than these simple
examples. For example, in the binary base, the first digit of the mantissa is always
1, hence it is not necessary to store it. By the same token, the exponent is ...
Grégoire Allaire, K. Trabelsi, Sidi Mahmoud Kaber, 2008
10
DIGITAL LOGIC AND COMPUTER ORGANIZATION
Thus, using a given six digit register with one sign bit, the normalized floating
point representation is able to store a much larger range of numbers. The price
paid, namely the loss of two significant digits in order to do this, is well worth it.
V. RAJARAMAN, T. RADHAKRISHNAN, 2006
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floating point representation în contextul următoarelor știri.
Is it time to switch to OASIS.MASK?
For practical purposes, it seems that OASIS could use only two of these formats: the ones based on IEEE 754 floating point representation, already used by all ... «ElectroIQ, Iun 15»
Even Simple Floating-Point Output Is Complicated
I suspect that the garbage values may be the result of zero-padding the binary floating point representation to produce the full string of 43 digits. «Dr. Dobb's, Ian 14»
MIT Reveals Wondrous Modular Robots Inspired By Proteins
machine in a decimal form with an exponent, then they were converted to binary normalized floating point representation and transferred to the «Co.Design, Dec 12»
NaNs Just Don't Get No Respect
The floating point representation on modern computers contains a representation of the number's sign, exponent, and mantissa. Special ... «Dr. Dobb's, Aug 12»
Why computers suck at maths
Let's take the double precision floating point representation as an example. It uses 64 bits to store each number and permits values from about ... «TechRadar UK, Oct 09»
Visualizing Floats
This means the precision of your floating point representation of a position depends on where you're standing and what units you're using. «Gamasutra, Ian 09»
Schoolboy Corrects NASA's Math On Killer Asteroid
Have all the calculations taken into account numerical precision associated with floating point representation? Have the gravitational effects of ... «Slashdot, Apr 08»
