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binaryOctal

# binaryOctal - Binary Decimal Octal and Hexadecimal number...

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Binary Decimal Octal and Hexadecimal number systems

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A number can be represented with different base values. We are familiar with the numbers in the base 10 (known as decimal numbers), with digits taking values 0,1,2,…,8,9. A computer uses a Binary number system which has a base 2 and digits can have only TWO values: 0 and 1. A decimal number with a few digits can be expressed in binary form using a large number of digits. Thus the number 65 can be expressed in binary form as 1000001. The binary form can be expressed more compactly by grouping 3 binary digits together to form an octal number. An octal number with base 8 makes use of the EIGHT digits 0,1,2,3,4,5,6 and 7. A more compact representation is used by Hexadecimal representation which groups 4 binary digits together. It can make use of 16 digits, but since we have only 10 digits, the remaining 6 digits are made up of first 6 letters of the alphabet. Thus the hexadecimal base uses 0,1,2,….8,9,A,B,C,D,E,F as digits. To summarize Decimal : base 10 Binary : base 2 Octal: base 8 Hexadecimal : base 16