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Jan Waclawek
08/11/07 01:22
Read: 683 times
Bratislava
Slovakia


 
#143089 - write down the bits
Responding to: Russ Cooper's previous message
Russ,

this is a classical example of "paper-and-pencil-ware".
So, take a sheet of paper and a pencil... :-)

Write down the bits of CRC (say c15..c0) and the input byte (say, b7..b0). Now, start to do the CRC manually, bitwise, observing where the individual bits go. You will find out, that within the first 4 bits, the bits won't get mixed too much, and in fact only the high nibble of the original CRC xored with high nibble of the input byte is xored into CRC shifted left by that nible, into 3 positions (this comes from the fact that the 3 nonzero bits in the 1021 poly are sufficently far from each other, and the highest nonzero bit is sufficiently far from the "overflow" end).

Now try to write down the same in nibbles form; and do it for both nibbles. You will then see how the algo works...

Have fun!

Jan



List of 32 messages in thread
TopicAuthorDate
CRC16 CCITT - What a challenge!      Jan Waclawek      08/06/07 13:08      
   Have you seen this?      Richard Erlacher      08/06/07 17:40      
      Of course!      Jan Waclawek      08/07/07 02:36      
         Balance      Russ Cooper      08/07/07 07:16      
            I know, Russ,      Jan Waclawek      08/07/07 07:53      
         Code? What code?      Russ Cooper      08/07/07 07:24      
            in the code library - look to the left column      Jan Waclawek      08/07/07 07:37      
               Thanks! I missed that note in the first post.      Russ Cooper      08/07/07 08:37      
   I need a hint      Russ Cooper      08/11/07 00:56      
      write down the bits      Jan Waclawek      08/11/07 01:22      
         Thanks for the hint      Russ Cooper      08/12/07 11:12      
            Your observations plus a comparison in C      Dan Henry      08/12/07 11:58      
               The rest of the story ...      Russ Cooper      08/12/07 16:43      
                  Compilers, but Keil C51 8.09 for the stated 28~      Dan Henry      08/12/07 17:04      
                  and this processes only a nibble, isn't it...      Jan Waclawek      08/12/07 23:27      
                     No, it process the entire byte.      Dan Henry      08/13/07 12:59      
                        now it\'s my pencil time...      Jan Waclawek      08/13/07 13:40      
                           FYFI      Dan Henry      08/13/07 14:40      
                              Clarification re: 8-bit optimized term      Dan Henry      08/13/07 17:46      
                              on optimisation      Jan Waclawek      08/14/07 02:56      
                                 Jan's optimization      Dan Henry      08/14/07 07:16      
                                    Re: on optimization      Dan Henry      08/19/07 09:18      
                                       Can you please be more specific?      Jan Waclawek      08/19/07 13:56      
                                          More specifically ...      Dan Henry      08/25/07 15:10      
            and what      Jan Waclawek      08/12/07 23:27      
               More on checksums        Russ Cooper      08/18/07 09:59      
   No reason to hide the excreted code      Dan Henry      08/12/07 17:41      
      Excreted code needs context like any other code      Dan Henry      08/12/07 19:01      
   One More Comment      Michael Karas      08/13/07 02:45      
      ... and a marginal remark ...      Jan Waclawek      08/13/07 07:02      
         Init all ones frequently specified      Dan Henry      08/13/07 13:06      
   18 cycles      Jan Waclawek      08/16/07 08:16      

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