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

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NUMBER SYSTEM.pptx

  • 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.