• Has 16 digits: 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A, B, C, D, E, F
• Value of digits increase by 16 for each position

   Example:

      BAD(16) = 11 x 162 + 10 x 161 + 13 x 80
	     = 2816 + 160 + 13 = 298910

• Divide the value repeated by 16
• Collect the remainders in the reverse order

(The procedure is exactly the same as the one to find the representation for a value in the binary number system, except you need to divide by 8 instead of 2)

 Example:

     value = 30

 Find the representation in the octal number system:

        30
   16 ------ 14  (= E)
         1
   16 ------ 1
         0

    representation is ----> 1E(16)
 

• Convert each octal digit to 4 binary digits using:

        Hex digit         Binary digits
        -----------       -------------
              0      -->        0000
              1      -->        0001
              2      -->        0010
              3      -->        0011
              4      -->        0100
              5      -->        0101
              6      -->        0110
              7      -->        0111
              8      -->        1000
              9      -->        1001
              A      -->        1010
              B      -->        1011
              C      -->        1100
              D      -->        1101
              E      -->        1110
              F      -->        1111
  
     Example:
  
        BAD(16) = 101110101101
        901(16) = 100100000001  
  

• Convert (starting from the right) each group of 4 binary digits into one hexadecimal digit using:

        Binary digits      Hex digit
        -------------     -----------
           0000       -->      0
           0001       -->      1
           0010       -->      2
           0011       -->      3
           0100       -->      4
           0101       -->      5
           0110       -->      6
           0111       -->      7
           1000       -->      8
           1001       -->      9
           1010       -->      A
           1011       -->      B
           1100       -->      C
           1101       -->      D
           1110       -->      E
           1111       -->      F
  
     Example:
  
        11010101 = D5(16)
        10010001 = 91(16) (Note: this is NOT equal to 91 decimal !)