Jul 18, 2010

Number Systems

Any number system has a radix or base. We can use any system for counting. Every system has its own symbols. The radix of a number system determines the total number of system symbols.
Number systems are:
•    Decimal number system
•    Binary number system
•    Octal number system
•    Hexadecimal number system



Symbols
•    Decimal symbols ( 0, 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 )
•    Binary number system ( 0, 1)
•    Octal number system ( 0, 1 , 2 , 3 , 4 , 5 , 6 , 7 )
•    Hexadecimal number system ( 0, 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , A , B , C , D , E , F  )

Decimal number system
It is the most common to us; it was developed because humans have ten fingers and ten toes. The base of that system is "10", total number of symbols equal the radix (base)
Value of any decimal number can be calculated as follow
            

Ex: 6754  =                   4*100          =   4

                                 + 5*101              +50

                                 + 7*102              +700

                                 + 6*103              +6000