A number system is a writing system that uses symbols to represent quantitative information. The main types of number systems are decimal, binary, hexadecimal, and octal. The decimal system uses the digits 0-9 with a base of 10. The binary system uses only the digits 0 and 1 and is used in computer applications. The hexadecimal system has a base of 16 and uses the digits 0-9 and the letters A-F. The octal system has a base of 8 and uses the digits 0-7.

1. NUMBER SYSTEM
A NUMBER SYSTEM IS A WRITING
SYSTEM FOR EXPRESSING NUMBERS
. IT IS USED TO REPRESENT
INFORMATION IN QUANTITATIVE
FORM.

2. Types of Number System
• THERE ARE MAIN 4 TYPES OF NUMBER SYSTEM
1. DECIMAL NUMBER SYSTEM
2. BINARY NUMBER SYSTEM
3. HEXADECIMAL NUMBER SYSTEM
4. OCTAL NUMBER SYSTEM

3. DECIMAL NUMBER SYSTEM
DECIMAL NUMBER SYSTEM CONSISTS OF TEN DIGITS (0 TO 9)
TO REPRESENT A NUMBER WITH THE BASE 10. THE NUMBER IS
EXPRESSED IN BASE 10 WHERE EACH VALUE IS DENOTED BY 0
OR FIRST NINE POSITIVE INTEGARS .
EX . 435 , 6543 ,5442 , ETC.

4. Binary Number System
A BINARY NUMBER SYSTEM IS ONE OF THE FOUR TYPES OF
NUMBER SYSTEM. IN COMPUTER APPLICATIONS, WHERE
BINARY NUMBERS ARE REPRESENTED BY ONLY TWO SYMBOLS
OR DIGITS, I.E. 0 (ZERO) AND 1(ONE). THE BINARY NUMBERS
HERE ARE EXPRESSED IN THE BASE-2 NUMERAL SYSTEM. FOR
EXAMPLE, (101)2 IS A BINARY NUMBER.

5. Hexadecimal Number System
THE HEXADECIMALNUMBERSYSTEM IS A ANOTHER TYPE OF
NUMBER SYSTEM, THAT HAS A BASE VALUE EQUAL TO 16. IT IS ALSO
PRONOUNCED SOMETIMES AS ‘HEX’. HEXADECIMAL NUMBERS ARE
REPRESENTED BY ONLY 16 SYMBOLS. THESE SYMBOLS OR VALUES
ARE 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A, B, C, D, E AND F.

6. Octal number system
A NUMBER SYSTEM WHICH HAS ITS BASE AS ‘EIGHT’ IS CALLED
AN OCTAL NUMBER SYSTEM. IT USES NUMBERS FROM 0 TO 7.
LET US TAKE AN EXAMPLE, TO UNDERSTAND THE CONCEPT.
AS WE SAID, ANY NUMBER WITH BASE 8 IS AN OCTAL NUMBER
LIKE 248, 1098, 558, ETC.