In Digital Computer, data and instructions are stored in computer memory using binary code represented by Binary digits 1's and 0's called bit’s.The data may contain digits, alphabets or special character, which are converted to bits, understandable by the computer. The number system uses well defined symbols called digits
Number systems are classified into two types:
1.Non-Positional Number System
In olden days people use of this type of number system for simple calculations like additions and subtractions. The non-positional number system consists of different symbols that are used to represent numbers.
2.Positional Number System
This type of number system are Decimal, Binary, Octal and Hexadecimal number system. The total number of digits present in any number system is called its Base or Radix. Every number is represented by a base (or radix) x, which represents x digits. The base is written after the number as subscript such as 512(10).It is a Decimal number as its base.
1.Decimal Number System
It is the most widely used number system. The decimal number system consists of 10 digits from 0 to 9. It has 10 digits and hence its base or radix is 10. These digits can be used to represent any numeric value.
2.Binary Number System
Digital computer represents all kinds of data and information in the binary system. Binary number system consists of two digits 0 (low voltage) and 1 (high voltage). Its base or radix is 2. Each digit or bit in binary number system can be 0 or 1.
3.Octal Number System
The octal number system has digits starting from 0 to 7. The base or radix of this system is 8. The positional values are expressed in power of 8. Any digit in this system is always less than 8.
4.Hexadecimal Number System
The hexadecimal number system consists of 16 digits from 0 to 9 and A to F. The letters A to F represent decimal numbers from 10 to 15. That is, ‘A’ represents 10, ‘B’ represents 11, ‘C’ represents 12, ‘D’ represents 13, ‘E’ represents 14 and ‘F’ represents 15.
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Conversions of Number System in Computer
Number systems are classified into two types:
1.Non-Positional Number System
In olden days people use of this type of number system for simple calculations like additions and subtractions. The non-positional number system consists of different symbols that are used to represent numbers.
2.Positional Number System
This type of number system are Decimal, Binary, Octal and Hexadecimal number system. The total number of digits present in any number system is called its Base or Radix. Every number is represented by a base (or radix) x, which represents x digits. The base is written after the number as subscript such as 512(10).It is a Decimal number as its base.
1.Decimal Number System
It is the most widely used number system. The decimal number system consists of 10 digits from 0 to 9. It has 10 digits and hence its base or radix is 10. These digits can be used to represent any numeric value.
2.Binary Number System
Digital computer represents all kinds of data and information in the binary system. Binary number system consists of two digits 0 (low voltage) and 1 (high voltage). Its base or radix is 2. Each digit or bit in binary number system can be 0 or 1.
3.Octal Number System
The octal number system has digits starting from 0 to 7. The base or radix of this system is 8. The positional values are expressed in power of 8. Any digit in this system is always less than 8.
4.Hexadecimal Number System
The hexadecimal number system consists of 16 digits from 0 to 9 and A to F. The letters A to F represent decimal numbers from 10 to 15. That is, ‘A’ represents 10, ‘B’ represents 11, ‘C’ represents 12, ‘D’ represents 13, ‘E’ represents 14 and ‘F’ represents 15.
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Conversions of Number System in Computer
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