Digital systems represent quantities using symbols called digits that can take various forms such as binary, octal, and hexadecimal. The binary number system uses two symbols, 0 and 1, and is important for digital circuits. Decimal numbers can be converted to binary by repeatedly dividing the number by two and writing the remainders as binary digits. Real numbers are represented internally using a mantissa and exponent in binary form. Character encoding schemes like ASCII and ISCII assign numeric codes to letters and symbols to allow text to be represented digitally, with Unicode now providing a standard coding that supports many languages.

1. WEL COME
PRAVEEN M JIGAJINNI
PGT (Computer Science)
MCA, MSc[IT], MTech[IT],MPhil (Comp.Sci), PGDCA, ADCA,
Dc. Sc. & Engg.

2. Reference Book
CLASS XI
By
Sumita Arora

3. CHAPTER 3
DATA
REPRESENTATI
ON

4. INTRODUCTION
Digital technology have found their
way into innumerable areas of
technology and the far most reaching is
digital computers. In digital systems like
computer ,the quantities are measured
by symbol called digits. They occur in
various forms like binary, octal,
hexadecimal.

5. DIGITAL NUMBER
SYSTEM
DECIMAL NUMBER SYSTEM
The number system is composed of
10symbols(0,1,2,3,4,5,6,7,8,9).
Binary number system
To design a electronic system that
can work with 10 different numbers
very difficult, and it is easy to use
number system with base 2 so binary
digits are used. Ex 10001101

6. DIGITAL NUMBER
SYSTEM
Octal number system is also very
important in digital system. It is number
system with base8.
Hexadecimal number system uses
base16 from 0-9and a, b, c, d, e, f as 16
symbols.

7. NUMBER CONVERSION
The binary number system is very
important as it is easy to feed it in a
circuitry ,but we use decimal no. system
So there is a conversion need from one
form to another.

8. DECIMAL TO BINARY
Divide the number to be converted and
write its remainder, the remainder are
its binary form.
FRACTION TO BINARY
Successively multiply the decimal by
the radix.

9. BINARY TO DECIMAL
FRACTION
Any binary number can be converted by
summing up its positional value.
Ex.
(10110)2
24
+22
+21
+20
=20

10. BINARY
REPRESENTATION OF
INTEGER
1.Sign and magnitude representation is the
conventional form of number system. It is
represented as signs ( + or - ).
2.One,s complement represents positive
numbers by their binary equivalent called true
value.
3.Two complement representation represents
their binary equivalent numbers and negative
numbers by their second compliment form.

11. BINARY
REPRESENTATION OF
REAL NUMBERS
Real numbers are represented in
storage medium by their exponents and
mantissa. For example numbers 32.17
can be written as 0.3217*102,
0.3217is
its mantissa and 2 is its exponent.

12. ASCII
The American Standard Code for
Information Interchange (ASCII) is a
character-encoding scheme originally based
on the English alphabet. ASCII codes
represent text in computers, communications
equipment, and other devices that use text.
Most modern character-encoding schemes
are based on ASCII, though they support
many more characters than ASCII does.

13. ASCII CHARACTER
SET

14. ISCII
In recent past the computer activities were
limited to specific languages and with the
increase in works there was to be develop a
slandered code . In 1991, the bureau of
Indian standard develop common code
called ISCII. this is a 8-bit code capable of
coding 256 characters.

15. UNICODE
Unicode provides a unique number for every
character,
No matter what the platform
No matter what the program.
No matter what the language.
INDIAN LANGUAGES ON UNICODE
The standard has incorporated Indian
scripts under group name Asian scripts ,
includes Devnagari ,Bengali ,Tamil
,Malayalam.

16. THANK
YOU