Binary and data representation, Operating System

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  Computing uses three number bases:- Binary (base 2), Octal (base 8) and Hexadecimal (base 16). Binary has been described before, although various catchphrases are used to describe their length.

4 bits    e.g. 1100 is termed nibble
 
8 bits    e.g. 11001111 us termed Byte
 
16 bits e.g.  1100111111001111   is termed Word
 
32 bits e.g. 11001111110011111100111111001111    is termed long word.
 
Hexadecimal (Hex) is a common base; it uses 0 -> 9 and A -> F for 10 -> 15. Conversion to decimal is achieved by using weighted columns of 16n similar to binary. Within microprocessors we often convert from binary to hex and back, a short hand way of doing this is shown below.


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