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Number System


Detailed Discussion


1)What is the number system ?
  Number systems are the technique to represent numbers in the computer system architecture, every value that you are saving or getting into/from computer memory has a defined number system.

2)What are the use of number system in computer ?
  When we type some letters or words, the computer translates them in numbers as computers can understand only numbers. A computer can understand the positional number system where there are only a few symbols called digits and these symbols represent different values depending on the position they occupy in the number.

3)How many number systems are supported by computer ?
  Computer architecture supports following number systems.
• Binary number system
• Octal number system
• Decimal number system
• Hexadecimal (hex) number system

4)What is the Binary Number System ?
  A Binary number system has only two digits that are 0 and 1. Every number (value) represents with 0 and 1 in this number system. The base of binary number system is 2, because it has only two digits.

5)What is the Octal Number System ?
  Octal number system has only eight (8) digits from 0 to 7. Every number (value) represents with 0,1,2,3,4,5,6 and 7 in this number system. The base of octal number system is 8, because it has only 8 digits.

6)What is the Decimal Number System ?
  Decimal number system has only ten (10) digits from 0 to 9. Every number (value) represents with 0,1,2,3,4,5,6, 7,8 and 9 in this number system. The base of decimal number system is 10, because it has only 10 digits.

7)What is the Hexadecimal number system?
  A Hexadecimal number system has sixteen (16) alphanumeric values from 0 to 9 and A to F. Every number (value) represents with 0,1,2,3,4,5,6, 7,8,9,A,B,C,D,E and F in this number system. The base of hexadecimal number system is 16, because it has 16 alphanumeric values. Here A is 10, B is 11, C is 12, D is 13, E is 14 and F is 15.

8)What is the Base or Radix of number system ?
  The number of distinct digits available in any number system is known as the Base or Radix of the number system. For example, the most commonly known base is a base 10numbering system or decimal numbers, which are 0,1,2,3,4,5,6,7,8, and 9. Another common base when dealing with computers is the binary base 2, which only has the numbers 0 and 1.