1.Analyze the floating point format
IEEE Standard for Binary Floating-Point Arithmetic (IEEE 754) is the most widely-used standard for floating-point computation, and is followed by many CPU and FPU implementations. The standard defines formats for representing floating-point numbers and special values together with a set of floating-point operations that operate on these values. It also specifies four rounding modes and five exceptions (Michael L Overton). 2.How floating point numbers are stored in memory

An IEEE-754 float (4 bytes) or double (8 bytes) has three components (there is also an analogous 96-bit extended-precision format under IEEE-854): a sign bit telling whether the number is positive or negative, an exponent giving its order of magnitude, and a mantissa specifying the actual digits of the number. Using single-precision floats as an example, here is the bit layout: seeeeeeeemmmmmmmmmmmmmmmmmmmmmmm meaning

31 0 bit # s = sign bit, e = exponent, m = mantissa In the internal representation, there is 1 bit for the sign (S), 8 bits for the exponent (E), and 23 bits for the mantissa (m). The number is stored as follows, with high memory to the right: Byte 0 Byte 1 Byte 2 Byte 3

3.The difficulty of manipulating and using floating point numbers in c calculations There are two reasons why a real number might not be exactly represented as a floating-point number. The most common situation is illustrated by the decimal number 0.1. Although it has a finite decimal representation, in binary it has an infinite repeating representation. Thus when β = 2, the number 0.1 lies strictly between two floating-point numbers and is exactly represented by neither of them (Cleve Moler). Floating-point representations...

...Numerical Methods Questions
1 f(x) = x3 – 2x – 5
a) Show that there is a root β of f(x) = 0 in the interval [2,3]. The root β is to be estimated using the iterative formula
,2 5 2 0 2 1 1 = =++ x x x n n
b) Calculate the values of x1, x2, x3, and x4, giving your answers to 4 sig fig.
c) Prove that, to 5 significant figures, β is 2.0946
2 Use the iterative formula
n
n n cox x x − =+ 1 1 With x1 = 0.5 to find the limit of the...

...2013/2014 ACADEMIC SESSION
LECTURER-IN-CHARGE: PROF. B. A. OLUWADE
CSC 403: NUMERICAL COMPUTATION II (with MATLAB)
TUTORIAL QUESTIONS
1
(a)
What do you understand by the Euler method ?
(b)
Let
y/ = 3y + 1
y(0) = 2
be an initial value problem. Using Euler method, present an approximation of y(5)
using a step size of 1.
2
(a)
State Simpson’s rule.
(b)
Write MATLAB code for finding the numerical approximation of a
definite integral...

...Experiment #4
Weighing and Volumetric Techniques – Accuracy and Precision
Abstract
The purpose of this experiment is to become familiar with proper techniques for using the analytic balances, graduated cylinder, burette and pipette and determine which is more accurate and/or precise. In this experiment, the burette and pipette were more exact than the graduated...

...Erica Alonso
Chemistry Honors 1
Mr. Cunningham
1.07 Accuracy and Precision
Procedure
Access the virtual lab and complete the experiments.
Data
• Below is the table that you will complete for the virtual lab. Either type your results into this table or print the table from the virtual lab (it must be submitted to receive full credit for this assignment.)
Part I: Density of Unknown Liquid
Trial 1 Trial 2 Trial 3
Mass of Empty 10 mL graduated cylinder (grams) 26 25.6...

...01.07 Accuracy and Precision: Balance Lab Worksheet
Before You Begin: You may either copy and paste this document into a word processing program of your choice or print this page.
Procedure
Access the virtual lab and complete the experiments.
Data
* Below is the table that you will complete for the virtual lab. Either type your results into this table or print the table from the virtual lab (it must be submitted to receive full credit for this assignment.)
* To...

...over" ("transit the scope") to let easy back-sighting and doubling of angles for error reduction. Some transit instruments are capable of reading angles directly to thirty seconds. However "transit" is considered to be a theodolite type having less precision. It also lacks such features as scale magnification and micrometers. In spite of the fact that newer precise electronic theodolites have become very popular, the transit is still used as a lightweight tool on construction...

...Precision describes the closeness of results that have been obtained in exactly the same way while accuracy indicates the closeness of the measurement to its true value. This experiment was used to determine the accuracy and precision of different volumetric measuring devices, as well as determining the density of an unknown metal. This lab was to help understand the application to volumetric measurements.
Part 1:
First, the next-to-smallest beaker was...

...studymode.com/essays/Precision-And-Accuracy-Lab-Report-921637.html
¢ Accuracy = the extent to which a measured value agrees with a standard value
Beware of Parallax – the apparent shift in position when viewed at a different angle.
Graduated Cylinder –
Meniscus and Parallax
anglemeniscus
¢ Precision = the degree of exactness of a measurement that is repeatedly recorded....