CONTENTS  INTRODUCTION,  TYPES OF NUMBER SYSTEM,  DECIMAL NUMBER SYSTEM,  BINARY NUMBER SYSTEM,  OCTAL NUMBER SYSTEM,  HEXADECIMAL NUMBER SYSTEM,  CONVERSION METHOD, • INTRODUCTION: A set of values used to represent different quantities is known as NUMBER SYSTEM. For example- A number can be used to represent the number of student in a class or number of viewers watching a certain TV program etc. • TYPES OF NUMBER SYSTEM: Number systems are four types, 1. DECIMAL NUMBER SYSTEM, 2. BINARY NUMBER SYSTEM, 3. OCTAL NUMBER SYSTEM, 4. HEXADECIMAL NUMBER SYSTEM,  DECIMAL NUMBER SYSTEM:  The number system that we used in our day to day life is the decimal number system.  Decimal number system has base 10 as it uses ten digits from 0 to 9.  EXAMPLE-(234)10  BINARY NUMBER SYSTEM:  Binary number system uses two digits 0&1.  Its base is 2.  A combination of binary numbers may be used to represent different quantities like 1001.  Example – (1001)2, (100)2,  OCTAL NUMBER SYSTEM:  Octal number system consists of eight digits from 0 to 7.  The base of octal system is 8.  Any digit in this system is always less than 8.  It is shortcut method to represent long binary number.  Example – (34)8, (235)8, • HEXADECIMAL NUMBER SYSTEM:  Hexadecimal number system consist of 16 digits from 0 to 9 and a to f.  Its base is 16.  Each digit of this number system represents a power of 8.  Example- (6D) 16, (A3)16,  CONVERSION METHOD: There are two methods used most frequently to convert a number in a particular base to another base.  Remainder method,  Expansion method,  REMAINDER METHOD: This method is used to convert a decimal number to its equivalent value in any other base. The following steps are to be followed by this method:  Divide the number by the base and note the remainder.  Divide the quotient by the base and note the remainder.  Repeat step 2 until the quotient cannot be divided further. That is, the quotient become to smaller than divisor.  The sequence of remainder starting from last generated 1 prefix by undivided quotient is the converted number.  EXPANSION METHOD:  This method can be applied to convert any number in any base to its equivalent in base 10.  During expansion, the base of the number is sequentially raised to start with 0 and is incremented by one for every digit that occurs in the binary number. THANK YOU!!!!!

1. WELCOME
TO
STUDENT FORUM
2015-16
TOPIC:
NUMBER SYSTEM

2. INTRODUCTION
TYPES OF NUMBER SYSTEM
DECIMAL NUMBER SYSTEM
BINARY NUMBER SYSTEM
OCTAL NUMBER SYSTEM
HEXADECIMAL NUMBER SYSTEM
CONVERSION METHOD
ADVANTAGES & DISADVANTAGES
APPLICATIONS
CONTENTS

3. INTRODUCTION
A set of values used to represent different
quantities is known as NUMBER SYSTEM.
For example-
A number can
be used to represent the number of student in a
class or number of viewers watching a certain
TV program etc.

4. Types of number system:

5. Decimal number
system
The number system that we used in our day to
day life is the decimal number system.
Decimal number system has base 10 as it uses ten
digits from 0 to 9.
 EXAMPLE:

6. BINARY NUMBER SYSTEM
 Binary number system uses two digits 0&1.
 Its base is 2.
 A combination of binary numbers may be used
to represent different quantities like 1001.
 Example –
(1001)2
(100)2

7. OCTAL NUMBER SYSTEM
Octal number system consists of eight digits
from 0 to 7.
The base of octal system is 8.
Any digit in this system is always less than 8.
It is shortcut method to represent long binary
number.
 Example –
(34)8
(235)8

8. HEXADECIMAL NUMBER SYSTEM
Hexadecimal number system consist of 16
digits from 0 to 9 and a to f.
 Its base is 16.
Each digit of this number system represents a
power of 8.
 Example-
(6D)16
(A3)16

9. ASCII (American Standard Code for Information Interexchange)TABLE

10. USER SYSTEMTRANSLATE

11. CONVERSION METHOD
There are two methods used to convert a number in a
particular base to the another base.
Remainder method,
Expansion method,

12. REMAINDER METHOD
This method is used to convert a decimal number to its
equivalent value in any other base.
EXAMPLE:

13. EXPANSION METHOD
This method can be applied to convert any number
in any base to its equivalent in base 10.
Example-

14. ADVANTAGE OF NUMBER SYSTEM
1. The biggest advantages of binary number
system is its simplicity. As the switch s used in
computer language or either ON or OFF they
can be easily read with little possibilities of
error.
2. The main advantage of hexadecimal number is
that it is very compact also it is quick and easy
to convert between hexadecimal number and
binary.

15. DISADVANTAGES OF NUMBER SYSTEM
The main disadvantages of binary number is that
the binary string equivalent of a large decimal
base 10 number can be quite long. When working
with large digital system , such as computers, it is
common to find binary number consisting of 8, 16
and 32 digits which makes it difficult to both read
and write without producing errors especially when
working with lot of 16 or 32-bits binary number.

16. APPLICATION
The most common application for the binary
number system can be found in computer
technology. All computer language and
programming is based on the 2-digit number system
used in Digital Encoding. Digital Encoding is the
process of taking data and representing it with
discreet bits of information. The discreet bits consist
of the zeros and ones of the binary system.