How To Read Log & Antilog Table
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How To Read Log & Antilog Table
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Fast multiplication of 2 digit numbers ending 1
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FYBSC IT SEM ( NUMERICAL METHODS QUESTION BANK SOLUTIONS )
UNIT 1
|
1.Let p = 0.54617 and q = 0.54601. Use three significant figures to approximate p − q and determine the absolute and relative errors using (i) rounding and (ii) chopping Solution: |
Using three significant figures, we
have p = 0.546 and q = 0.546.
(i) Rounding:
p - q = 0.546 - 0.546 = 0.000
Absolute error = |0.000 - 0.00016| =
0.00016
Relative error = |0.00016/0.00016| = 1
(ii) Chopping:
p - q = 0.546 - 0.546 = 0.000
Absolute error = |0.000 - (-0.00017)|
= 0.00017
Relative error = |0.00017/0.00017| = 1
Note that the true value of p - q is
0.00016.
2.Find the absolute error and relative
error and also determine the number of significant digits in the approximations
for the following.
True value =98350 and approximate
value =98000
Find the absolute error and relative
error and also determine the number of significant digits in the approximations
for the following.
solution :
True value =98350 and approximate
value =98000
The absolute error is the difference between the
true value and the approximate value: Absolute error = |true value -
approximate value| = |98350 - 98000| = 350
The relative error is the absolute error divided by
the true value: Relative error = Absolute error / True value = 350 / 98350 =
0.00356 (rounded to 5 decimal places)
To determine the number of significant digits in the approximation, we count the number of digits that are certain plus one uncertain digit. In this case, the approximation has two certain digits (98) and one uncertain digit (000). Therefore, there are three significant digits
3. Create a hypothetical floating-point number set for a machine that stores information using 7-bit words.
solution :
For a machine that uses 7-bit words,
we could use the following format for a floating-point number:
1 bit for the sign (S)
3 bits for the exponent (E)
3 bits
for the mantissa (M)
4.Determine the absolute and relative
errors when approximating p by p∗
when i) p = 0.3000 ×
101 and p∗ = 0.3100 × 101 ii) p = 0.3000 × 10−3 and p∗ = 0.3100 × 10−3
solution :
To determine the absolute and
relative errors when approximating p by p∗
when p = 0.3000 ×
10^1 and p∗ = 0.3100 × 10^1, we use the following formulas:
Absolute error = |p - p∗|
Relative error = |(p - p∗)/p|
Substituting the values given in the
problem, we get:
absolute error = |0.3000 × 10^1 -
0.3100 × 10^1| = |-0.0100 × 10^1| = 0.100
Relative error = |(0.3000 × 10^1 -
0.3100 × 10^1)/(0.3000 × 10^1)| = |-0.0100/0.3000| = 0.0333...
Therefore, the absolute error is 0.100
and the relative error is 0.0333... or approximately 3.33%.
ii) To determine the absolute and
relative errors when approximating p by p∗
when p = 0.3000 ×
10^-3 and p∗ = 0.3100 × 10^-3, we use the same formulas:
Absolute error = |p - p∗|
Relative error = |(p - p∗)/p|
Substituting the values given in the
problem, we get:
Absolute error = |0.3000 × 10^-3 -
0.3100 × 10^-3| = |-0.0100 × 10^-3| = 0.000010
Relative error = |(0.3000 × 10^-3 -
0.3100 × 10^-3)/(0.3000 × 10^-3)| = |-0.0100/0.3000| = 0.0333...
FYBSC IT ( SEM 2) IMP QUESTIONS WEB DEVELOPMENT
UNIT 1
What is WWW? Write
difference between WWW and Internet.
List and explain
different types of CSS selectors with example.
Write short note on
Uniform Resource Locator.
Explain the following
HTML tags with the help of example:
(i) < br>
(ii)<pre> (iii) <h6> (iv) <p> (v) <a>
What is proxy server?
Discuss its application with reference to internet.
Explain different
types of lists available in HTML with the help of example
List and explain
important applications of internet in brief.
Explain different
approaches to style sheets.
Write a short note on
internet address.
How hyperlinks are
created in HTML? Explain with the help of an example.
What is search
engine? Explain its working
What is internet?
Explain any two applications of internet.
Write a short note on
domain name server.
Write a short note on
search engine.
Explain the structure
of HTML5 file.
List different
formatting tags. Explain with example any three of them.
List and explain
different types of cascading style sheets.
UNIT 2
How to format and
position a division on a web page? Explain with example
How will you create
graphical navigation bar? Explain with example.
Explain <audio>
and <video> tags in HTML 5.
Write HTML Code to
design a web page with Image Maps.
List and explain any
five HTML Form controls with example
What is image map?
Write the difference between client-side and server-side
Image mapping.
Write the purpose of
using: rowspan, colspan, cellspacing and cellpadding in Table
tag. Give example.
Write HTML code for
embedding an audio and video in a web page.
Explain the semantic
tags of HTML5.
Write HTML code to
design a form to enter name of the user, his/her password,
and gender (radio
button for male/female), hobbies (checkbox for
reading/singing/sports),
favorite color (list box red/green/blue) and submit and reset button.
Explain <DIV>
tag with the help of suitable example
Explain with example
how text based navigation bar is created.
What is image map?
Explain with example server side image map.
List various HTML5
semantic tags. Explain with example any four of them.
Explain following
attributes of td tag:
i. rowspan ii.
colspan iii. width iv. valign v. bgcolor
Write a HTML5 program
to display college admission form.
List various tags
used to embed audio in a page. Explain with example any two of them.
UNIT 3
Write a short note on
“for…in” looping statement in JavaScript.
Write a program in
JavaScript to accept a sentence from the user and display the number
of words in it. (Do
not use split ( ) function).
Explain following
events:
(i)onclick (ii)
onfocus (iii) onmouseover (iv) onload (v) onerror
Write a JavaScript
program using various methods of Date Object.
Write a short note on
comparison and logical operators in JavaScript.
List various features
of JavaScript
Differentiate between
client side and server side JavaScript.
Write a JavaScript
program to display all the prime numbers between 1 and 100.
List and explain the
methods of string object of JavaScript.
Explain the following
operators of JavaScript:
(i)
new
(ii) delete (iii) this (iv) void (v) ,(Comma)
Define events and
event handlers. List various types of mouse event
Explain any five
special operators of java script.
Write html code to
display factorial of number entered by user.(use do while loop)
What is the purpose
of break and continue statement. Give suitable example.
Explain regular
expression in java script.
List different
methods of document object. Explain with example any two of them.
Explain following
event attributes:
i. onblur ii.
onchange iii. ondblclick iv. onkeydown v. onmousedown
UNIT 4
What is PHP? Write
the advantages of using PHP for server-side web scripting.
Write a PHP code to
find the greater of two numbers. Accept the numbers from the user.
Explain any five
string functions available in PHP with example.
What are the
different methods available in PHP for passing the information from one page to
another? Explain.
Write a short note on
PHP data types.
Explain associative array
in PHP with the help of example.
Write the difference
between GET and POST methods in PHP.
Explain different
types of arrays available in PHP.
Write a PHP program
to demonstrate the use of different string functions.
Explain error
handling in PHP.
Write a short note on
variables in PHP.
Write a PHP program
to create one dimensional array.
How PHP variables are
used? Explain with example.
Write down the rules
to determine the “truth” of any value not already of the Boolean type:
Explain doubly quoted
strings in PHP. Give suitable example.
Explain the ternary
operator with example.
Write the purpose of
following string methods:
i. strcasecmp ii.
strrpos iii. strstr iv. chop v. strtolower
List and explain
functions for inspecting arrays.
UNIT 5
Explain following
PHP/MYSQL functions:
(i) mysql_connect ( )
(ii) mysql_close ( ) (iii) mysql_query ( )
(iv) mysql_select_db
( ) (v) mysql_error ( )
Write a PHP program
to demonstrate the use of cookies in PHP.
Compare POSIX and
PERL style Regular expressions of PHP.
List various HTTP
functions available in PHP. Explain header ( ) function in detail.
Write a PHP program
to create a database named “employee”. Create a table named
“salary” with
following fields (eid, ename, esalary). Insert 3 records of your choice.
Display the names of
the employees whose salary is between 15000 to 20000 in a tabular format.
Write a short note on
PHP Session.
What is a cookie? How
to store and retrieve the values in cookie in PHP?
Explain any five
PHP/MYSQL functions with example.
Write a PHP program
to send email with attachment.
How to start and
destroy a session and how to store a session variable in PHP?
Explain.
Write a short note on
regular expressions in PHP.
Write a PHP code to
create a database “Company” and to create a table
“Employee” (emp_id,
emp_name,emp_dept,emp_salary)
Explain join with
suitable example.
List various fetching
functions. Explain with example any two of them.
List and explain
function used to create database programmatically.
Write a PHP program
to display boolean data from database on checks button.
Write down the use of
following PHP-MySQL functions
mysql_affected_rows
ii. mysql_data_seek iii. mysql_fetch_array
mysql_field_type v.
mysql_insert_id
Explain following
session functions:
i. session_register
ii. session_is_registered iii. session_unset
iv. session_decode v.
session_id
जर मी
शिक्षक
झालो
तर
मराठी
निबंध
(१०० शब्दात)
मला लहानपणा
पासूनच
शिक्षक
व्हायला
खुप
खुप
आवडते
त्यामुळे
मी
जर
शिक्षक
झालो
तर
प्रत्येक
विद्यार्थाला
खूप
आत्मयतेने
शिकवण्याचा
प्रयत्न
करेन.
मी
शिक्षक
बने
पर्यंत
जो
काही
ज्ञानाचा
साठा
मी
कमावेल
त्यातील
कण
न
कण
मी
विद्यार्त्यापर्यंत
कसा
पोहचेल
यासाठी
प्रयत्न
करेल.
मी विद्यार्थांना
चांगली
शिकवण
देईल,
त्यांना
चांगली
शिस्त
लावेल,
वडीलधाऱ्या
माणसांचा
आदर
करायला
शिकवेल
व
त्यांच्यावर
उत्तम
असे
संस्कार
करेल.
जे
की
त्यांना
भावी
आयुष्यात
एक
आदर्श
नागरिक
होण्यासाठी
मदत
करतील.
जर मी
शिक्षक
झालो
तर
प्रत्येक
विद्यार्थ्यास
शिक्षणाची
समान
संधी
देईल.
सर्वांना
सारखेच
शिक्षण
देईल,
कोणत्याही
विद्यार्त्याचा
तिरस्कार
करणार
नाही.
मी
प्रत्येक
विद्यार्थाला
असे
शिक्षण
देईल
की
तो
भविष्यात
कुठे
नोकरीला
जरी
नाही
लागला
तरी
तो
आपल्या
देशाचा
एक
आदर्श
नागरिक
मात्र
नक्कीच
बनेल.
FYBSC IT ( SEM 2) IMP QUESTIONS GREEN COMPUTING
UNIT 1
What are the steps involved for Measuring of carbon
footprint?
What is carbon footprint? Briefly explain how to compute
company’s carbon footprint?
How hardware deployments can affect the environment?
Write a note on Equipment Disposal.
What are the steps taken by JAPAN for managing their own
e-waste problem?
What are the Basel Action Network functions?
Write a short note on Basel Action Network.
Explain any five e-waste laws of states in US.
List and explain the various toxins present in computer
systems.
Discuss about cost saving in power consumption by desktops
and data centres.
Write a short note on United Nation’s solving the E-waste
Problem (Step).
Discuss the European Union’s e-waste management WEEE and its
RoHs directives.
Explain how green computing effect on cost saving.
How hardware deployments can affect the environment?
Mention the steps taken by CHINA in managing their own
e-waste problem?
What StEP stands for? Explain objectives of StEP
What is Green IT? What are motives behind Green IT
practices?
Write down the advantages of reusing equipment?
Write a short note on RoHS.
UNIT 2
Write a note on Data De-Duplication and Virtualization.
Explain MAID and RAID.
What is polling? Give example.
List and explain the issues regarding power consumption and
cooling costs.
Explain Hot Aisle (path)/Cold Aisle and Raised Floors.
List and explain datacentres design and decision making
issues
Explain the features and hardware specification of NORHTEC and
EXCITO.
How can you minimize excessive power output from wireless
devices?
Explain the ways of reducing power consumption in storage.
How to calculate cooling requirement of a system? Explain
using suitable example.
Write a note on cooling optimization by data centre design.
Explain any two best practices that can help optimize the
airflow around servers
How computer monitor settings save energy?
How to achieve proper humidity levels?
How to prevent Recirculation of Equipment Exhaust?
State the advantages of custom centralized air-handling
system.
Explain any two ways to reduce power usage
Explain any two low cost devices for checking power on
workstations
What is economizer? What are its different types? Explain
any one.
Explain how cooling needs are calculated.
What are different ways to optimize the airflow around
servers and networking?
Equipment? Explain any two of them
UNIT 3
List and explain decision making pyramid with its levels.
Which things are necessary for environmentally preferable
purchasing plan?
How to find out which products have low levels of toxins?
Which things are needed to go paperless in organization?
What is the use of Microsoft Office SharePoint Server 2007?
List its features.
What is Value Added Network? Give its benefits.
Briefly explain steps in setting up a telecommuting program.
Write a note on Environmentally Preferable Purchasing Plan.
List the tips to keep water usage under control. List the
issues to prevent wasted water.
Write a short note on intranet.
What is Microsoft Office SharePoint Server 2007?
What are the advantages and obstacles in using EDI in an
organization?
What are the ways to control the use of water in
organisation?
Which things are necessary for evaluating suppliers for
their level of environmental responsibility?
Describe intranet? How to build it?
What is Telecommuting? Explain in brief.
Which things are needed to go paperless in organization?
Write a note on PDA and Tablet PC.
What are different issues that should be considered to know
your supplier?
How the issue of CO2 emission is dealt with at different
levels of the decision making pyramid.
What are different monitoring ideas?
Write down different reasons for using PDF for paperless
documentation.
What is intranet? What are different components that are
required for building intranet?
What is EDI? Write down advantages and problems of EDI.
UNIT 4
Explain the recycling problems in China and Africa.
How to determine the system’s long life?
Which are benefits to leasing the equipment?
Write a short note on Electronic Product Environmental
Assessment Tool (EPEAT) certification.
What is Blade server? Give its benefits.
What is the use of Remote Desktop? Explain its components.
What is refurbishing? What is commercial and non-commercial
refurbishing?
Briefly explain the phases of a computer product’s life
cycle.
How to clean a hard drive?
Write a note on energy star program for computers.
Explain benefits and features of blade server.
How to configure a remote desktop server?
List various ways to clean a hard drive. Explain any two.
Write a short note on refurbishing.
Give advantages and disadvantages of buying equipment’s.
Explain how remote desktop server is configured.
Explain Restriction of Hazardous Substances certification.
Define and explain the terms packaging and Toxins with respect to Hardware Considerations.
UNIT 5
How CRM segregate the people of organization in group?
What are the steps involved for good green procurement
program?
Explain characteristics of Software as a Service.
Explain transitioning four-step process.
Write a note on SMART goals.
Which steps are involved to conduct energy audit?
How BI tools and MS SQL Server are useful in order to
measure and track data?
Write a note on Customer Relationship Management. Explain
its technology components.
What is Green Procurement?
Write a note on SMART Goals.
Explain the role of Chief Green Officer?
What is baseline data, benchmarking and data analysis in
equipment check-up.
List and explain tools used for measuring and tracking our
data.
What is the difference between Application Service Providers
and Software as a Service?
Which area needs to be updated in organization to reduce the
amount of waste?
Explain characteristics of Software as a Service.
Describe the work of Chief Green Officer.
List and explain key strategies to review action plan.
FYBSC IT ( SEM 2 ) C ++
IMPORTANT QUESTIONS
UNIT 1
What is procedure oriented Programming? What are its
characteristics?
Differentiate between Object Oriented and Procedure &
Oriented Programming
Paradigms.
Discuss procedure oriented programming paradigm. Also
discuss its characteristics.
What is object oriented programming paradigm? Discuss its
characteristics.
Discuss the need and advantages of Object Oriented
Programming.
Discuss various applications of Object Oriented Programming.
What do you mean by Dynamic and static binding.
Write a short notes on (i) Object (ii) Class
Define any two of the following
(i) Classes (ii) Objects (iii) Data abstraction
Discuss benefits and applications of oops.
Write a short note on data abstraction and data
encapsulation
Write down advantages and disadvantages of procedure
oriented language.
Explain object oriented development.
Write down benefits of using object oriented programming.
Write a short note on Data abstraction and data
encapsulation.
Explain dynamic binding with example. Give proper example.
What is inheritance? Explain with example the concept of
multiple inheritances
UNIT 2
What is a class? Illustrate the use of class with a simple
c++ program.
What are inline functions? How an outside function can be
made inline?
What is a constructor? Explain its characteristics. List
various types of constructors?
What are friend functions? What are their characteristics?
Write a small program to
Illustrate the use of a friend function.
Explain the use of parameterized constructors with a
programming example.
What do you understand from nesting of member functions?
Explain with suitable programming example
What is friend function? Write a friend function to display
mark sheet of the F. Y. B.Sc. IT student.
What is class? Explain with example how objects are passed
as argument to member function and objects are returned from member function.
What is inline function? Explain with example.
What is use of constructor? Explain with example
parameterized constructor.
Write a C++ program to demonstrate the use of constructor
and destructor.
What are objects? How they can be declared? Also discuss
memory allocation for objects in object oriented programming
How data members and member functions of a class can be
accessed. Write a program to demonstrate the concept of accessing public
members of a class.
What is a constructor? List various types of constructors.
Explain copy constructor
What is a friend function? How it can be declared? What are
its characteristics?
What is Member function ? explain the nesting of member functions
UNIT 3
What is function
overloading? Explain with suitable example.
What is operator
overloading? List the operators which can be overloaded and which cannot be
overloaded.
Write a c++ program
to overload unary minus operator.
What are virtual
functions? Explain.
Define the following
(i) Abstract Class
(ii) Pure Virtual Function
What is a pointer?
Write a program to illustrate its use
What is operator
overloading? Write down the rules for operator overloading.
How binary operators
are overloaded? Write a C++ program to overload binary operator +.
What is method
overriding? Explain with example.
Explain with example
abstract class.
Explain virtual
destructor. Give suitable example
What is this pointer?
Write a C++ program to demonstrate use of this pointer.
What are virtual
functions? What are the rules for writing virtual functions?
UNIT 4
What do you
understand from the concept of inheritance? Explain its various types.
Explain the use of
various visibility modes used in inheritance.
Discuss the role of
constructors in derived classes in detail.
What is an exception?
What are advantages of exception handling mechanism in a
Program?
Explain the concept
of throw and catch with suitable example.
Write a c++ program
to illustrate multilevel inheritance.
Can private members
of a base class are inheritable? Justify.
Explain with example
multilevel inheritance.
Explain how a base
class is derived in public and private mode.
What is exception?
Explain exceptions handling mechanism?
What happen when raised
exception is not caught by catch block? Explain with suitable example.
UNIT 5
What are class
templates? Explain their use. How a class template can be declared?
Explain function
template with a programming example.
Write a c++ program
to implement bubble sort using function template.
Explain the working
of files in c++.
Explain various
methods to detect end of file in a c++ program.
Explain the following
(i) seekg() (ii) seekp()
Explain with example
how function templates are used.
Explain how compiler
calls to a class and function template.
Write a C++ program
which defines and uses student class template.
What is file? Write
down the steps for manipulating files in C++.
Explain the hierarchy
of file stream class.
What are different
methods of opening a file? Write a program to open file and enter student
details into the file using any method.
Explain various
methods to detect end of file.
Write a program to
open two files country and capital simultaneously and print the Name of the
capital in front of the country.
Explain the use and
purpose of following functions
(i) seekg() and
seekp()
(ii) tellg() and
tellp()
What are class
templates? Explain their use. How they can be declared?
Define a class named
vector. Illustrate the use of vector class template for performing the scalar
product of int type vectors as well as float type vectors.
What is a function
template? Write a C++ program to demonstrate the use of function templates?