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Any digit in this system is always less than 8. Octal number system is used as a shorthand
                 representation of long binary numbers. The number (841)  is not valid in this number system
                                                                               8
                 as 8 is not a valid digit.

                 The place value of the digits is determined by their position and weight as follows:

                                Position       2         1         0                   –1        –2
                                                                              •
                                Weights        8 2       8 1       8 0                 8 –1      8 –2


                   Hexadecimal Number System


                 The hexadecimal number system consists of 16 digits from 0 to 9 and A to F. The letters A                  NUMBER SYSTEM
                 to F represent decimal numbers from 10 to 15. The base of this number system is 16. Each
                 digit position in hexadecimal number system represents a power of 16. The number (764)
                                                                                                                    16
                 is valid hexadecimal number. It is different from (764)  which is seven hundred and sixty
                                                                              10
                 four.
                 The place value of the digits is determined by their position and weight as follows:                      9

                                Position       2         1         0                   –1        –2
                                                                              •
                                Weights       16 2      16 1      16 0                 16 –1     16 –2

                 The  hexadecimal  number  system  provides  a  shortcut  method  to  represent  long  binary
                 numbers.  These  numbers  are  often  used  to  show  colors  on  websites,  which  is  why

                 programmers like to use them. Here are some examples of color codes:
                 Red: #FF0000

                 Green: #00FF00
                 Blue: #0000FF


                    Number System Conversion


                 A number of any number system can be converted into other like decimal number can be
                 converted into binary number and vice-versa.


                   Decimal to Binary Conversion


                 To convert a decimal number into a binary number, follow these steps:
                 Step 1:  Divide the decimal number by 2 (the base of the binary number system).
                 Step 2:  Note down the quotient and the remainder.

                 Step 3:  Divide the quotient obtained again by 2 and note down the resulting quotient and
                           remainder.

                 Step 4:  Repeat the procedure till you reach a quotient less than 2.
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