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NUMBER SYSTEM
• Number system is used to represent information in quantitative form.
• Some important types of number system :
• Binary
• Decimal Number System
• Octal Number System
• Hexa decimal Number System
Binary Number System
• In the binary number system there are only two symbols of possible digit
values 0&1.
• So, this base 2 system can be used to represent any quantity that can be
represented in any number system.
• Example : (101011001)2
Decimal Number System
• It is composed of 10 numerals or symbols from 0 to 9. It is also called the
base-10 system as it has 10 digits.
• Digit that contains most weight is called Most Significant Digit (MSD) & the
digits that least weight is the Least Significant Digit (LSD).
• Example : (2512)10
Octal Number System
• It has a base of eight which means it has eight unique symbols.
• The 8 unique symbols are 0 to 7
• Binary equivalents of octal number system
Hexa Decimal Number System
• It uses base- 16. Thus it has 16 digit symbols
• The 16 unique symbols are 0 to 9 and the letters A,B,C,D,E,F
• Binary equivalents of hexa decimal number system
CONVERSIONS
• The binary number system is the most important one in digital systems as it
is very easy to implement in Circuitry.
• The Decimal number system is important because it is universally used to
represent quantities outside a digital system.
• Octal & Hexa decimal provide and efficient means for the representing large
binary numbers.

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NUMBER SYSTEM.pptx

  • 1. NUMBER SYSTEM • Number system is used to represent information in quantitative form. • Some important types of number system : • Binary • Decimal Number System • Octal Number System • Hexa decimal Number System
  • 2. Binary Number System • In the binary number system there are only two symbols of possible digit values 0&1. • So, this base 2 system can be used to represent any quantity that can be represented in any number system. • Example : (101011001)2
  • 3. Decimal Number System • It is composed of 10 numerals or symbols from 0 to 9. It is also called the base-10 system as it has 10 digits. • Digit that contains most weight is called Most Significant Digit (MSD) & the digits that least weight is the Least Significant Digit (LSD). • Example : (2512)10
  • 4. Octal Number System • It has a base of eight which means it has eight unique symbols. • The 8 unique symbols are 0 to 7 • Binary equivalents of octal number system
  • 5. Hexa Decimal Number System • It uses base- 16. Thus it has 16 digit symbols • The 16 unique symbols are 0 to 9 and the letters A,B,C,D,E,F • Binary equivalents of hexa decimal number system
  • 6. CONVERSIONS • The binary number system is the most important one in digital systems as it is very easy to implement in Circuitry. • The Decimal number system is important because it is universally used to represent quantities outside a digital system. • Octal & Hexa decimal provide and efficient means for the representing large binary numbers.