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NUMBER SYSTEM.pptx

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NUMBER SYSTEM.pptx

  1. 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. 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. 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. 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. 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. 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.

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