CRC = Cyclic Redundancy Check

        11001 is the Generator
 101101010111 is the Message

 The remainder after doing the division of the Message by the Generator
 we will call the redundancy bits.

 Since the redundancy bits are always n - 1 bits for an n bit Generator,
 here we will have the remainder being 5 -1 or 4 redundancy bits.

 Extend the orignal Message M with 4 bits.

 101101010111 is the Message
 0000 are the four extra 0 bits needed to get the entire Message + 
 Redundancy bits that will be Transmitted by one computer to another 
 computer.

 101101010111 concatenated with 0000 is:
 1011010101110000

  
 11001 1011010101110000

       10110
       11001
       -----
        1111  <--------- by even parity.  Do NOT put the leading 0's in.

 11001 1011010101110000

       10110
       11001
       -----
        11111 <----------- Bring down next digit, enough digits to get 
        11001                                     another 5 bit string.
        -----
          110 <----------- Result of the EVEN parity, but not showing 
                                     the leading 0's.
 11001 1011010101110000
             -- 
       10110 --
       11001 --
       ----- 
        11111--         
        11001--                             
        -----
          11001 Bring down the next two digits, to get 5 digit string.

 11001 1011010101110000
             -- 
       10110 
       11001      <---------Generator
       ----- 
        11111         
        11001     <---------Generator                             
        -----
          11001 
          11001 Generator again
          -----
          00000      <------------- By even parity there were no 1's!
               01110 <------------- Thus we need to bring down 5 digits!
                11100 <----------- Oh, 5 digits was NOT enough, cauuse
 Generator -->  11001                     the leading digits must be a 1.
                -----
                  101

                     --
 11001 1011010101110000
                     --
       10110 
       11001      <--------- Generator
       ----- 
        11111         
        11001     <--------- Generator                             
        -----
          11001 
          11001   <--------- Generator again
          -----
                11100 <----------- Oh, 5 digits was NOT enough, cauuse
 Generator -->  11001                     the leading digits must be a 1.
                -----
                  10100  <--------------- Bring down last TWO DIGITS..
                  11001  <--------------- Apply the GENERATOR for the 
                  -----                                      last time.                 
                   1101 THESE ARE THE ERROR CONTROL BITS
                        that the CRC algorithm calculated.

   1101 = the CRC bits.
   101101010111 is the Message (the data to be sent).

   Concatenate 101101010111 and 1101 and then

   TRANSMIT (T = the Transmitted) = 1011010101111101
                                    mmmmmmmmmmmmEEEE

   m = message bits
   E = CRC error control bits