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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
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
...
7
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 ...
8
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
9
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
10
DIGITAL ELECTRONICS AND LOGIC DESIGN
EXAMPLE 1.8 Give the floating-point representation of the following numbers: (a)
5 (b) 3 (c) 12 (d) 5/8 (e) 3/8 (0 5/16 Solution In the floating-point representation,
we express a given decimal number in the form: Y = M10E In the binary system, ...
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Slidecast: John Gustafson Explains Energy Efficient Unum Computing
What you're doing with most floating-point representation is you are picking an exact number. It's a rational number that you are representing ... «insideHPC, Mar 15»
What Were The Techniques Prismatic Used To Achieve Such …
It involves both understanding math and floating-point representation.Beyond the ranking component, we compute a larger set of ranked items ... «Forbes, Sie 12»
The PolyArea Project: Part 1
It brought to the front some thorney programming points that bite newbies -- things like floating-point representation, comparing integers to ... «Dr. Dobb's, Sie 10»
