Question

Checksum (CRC-16) calculation algorithm

Asked by: DmitriyAndreyev

I am trying to figure out the Checksum alrorithm used by one of the printers I am working with. I have set up a serial communications monitoring interface and was able to record the "conversation" betwee the device and the printer. At the end of the every data line, sent to the printer, device sends a 16 bit code. I suspect the device and the printer use CRC-16 algorithm to calculate this code.

Example 1 of the "conversation":
--------------------------------------------------------------------------
1) Device:
 4 4 0 4 48 227 86
2) Printer:
16 6
3)Device:
   2 48 0 83 30 95 95 95 95 95 95 95 95 95 95 95 95 95 95 95 95 95 95 95 95 95 95 95 95 95 95 95 95 95 95 95 95 95 95 95 95 95 95 95 95 95 95   95 95 95 95 95 95 95 95 95 95 95 95 95 95 95 95 95 95 95 95 95 95 95 95 95 95 95 95 95 95 95 95 95 95 95 95 95 95 13 10 224 62
4) Printer:
 16 21
 
As a result of this "Conversation" a Printer prints 83 underscore characters
--------------------------------------------------------------------------------------------
Here is Example 2 of the recorded conversation:

1) Device:
4 4 0 4 48 227 86
2) Printer:
 16 6
3) Device:
2 48 0 44 31 14 32 32 32 32 32 32 32 32 32 32 32 32 80 82 79 68 85 67 84 32 83 85 77 77 65 82 89 32 32 32 32 32 32 32 32 32 32 32 32 20 13 10 196 130
4) Printer:
 16 21
 
As a result of this conversation, printer Prints “Product Summary” in the middle of the line
------------------------------------------------------------------------------------

I have analized the strings sent by the device and here is what I've come up with.
2, 48, 0 - is likely to be a beginning of the printing command
44 (in exampe 2) and  83 (in example 1) - is likely to be the number of characters to be printed

[224 62] (in example 1) and [196 130] in example 2 is the checksum.

QUESTION:
Find the way to calculate this checksum.

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Asked On
2004-05-07 at 11:19:05ID20981873
Tags

algorithm

,

calculation

,

checksum

Topic

Assembly Programming Language

Participating Experts
2
Points
500
Comments
13

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Answers

 

by: dimitryPosted on 2004-05-07 at 15:29:23ID: 11018964

Can you give more examples and printer name ?

 

by: joghurtPosted on 2004-05-08 at 10:52:46ID: 11022613

Have you actually tried the standard 16-bit CRC (CRC-CCITT1 [X.25])?
I have, and found no match even by skipping the first bytes one-by-one, and with/without the trailing CR/LF.

But to find out the algorithm, you should use an algorithmic way:
Print 1 byte, get the checksum for all printable characters.
Print 2 bytes, get the checksum for some fixed characters as the first byte and for all printable characters for the second byte.

Write us the results.

 

by: dimitryPosted on 2004-05-08 at 16:44:42ID: 11023776

>>I have, and found no match even by skipping the first bytes one-by-one, and with/without the trailing CR/LF.
I did the same with two different CRC-16 algorithms and didn't find any match too. :)

 

by: DmitriyAndreyevPosted on 2004-05-10 at 06:54:34ID: 11031146

I wrote a little test program, which calculated checksums for all printable characters. Basically this code was sending characters to the printer, one at a time, and iterating through all possible combinations of the checksum. I even got the printer to print this way. It worked nicely but xtreeemly slow.
Here is the output of my program for some of the characters.

2, 48, 0, 1, 32,160, 98     -- This set of bytes sends a [space] character  (32) to the printer
2, 48, 0, 1, 33,41, 115     -- This set of bytes sends a [!] character  (33) to the printer
2, 48, 0, 1, 34,178, 65     -- This set of bytes sends a ["] character  (34) to the printer
2, 48, 0, 1, 35,59, 80       -- This set of bytes sends a [#] character  (35) to the printer
2, 48, 0, 1, 36,132, 36
2, 48, 0, 1, 37,13, 53
2, 48, 0, 1, 38,150, 7
2, 48, 0, 1, 39,31, 22
2, 48, 0, 1, 40,232, 238

I hope this helps :)

 

by: DmitriyAndreyevPosted on 2004-05-10 at 10:35:11ID: 11033251

Dimitry, the printer that I am working with was manufactured by Fujitsu about 15 years ago... I tried to find any info about it on google without any luck.
 

I generated some more sample data. This time I was calculating a checksum for different number of zeros sent to the printer. Here are the results:

2, 48, 0, 1, 0, 162, 67
2, 48, 0, 2, 0, 0, 63, 105
2, 48, 0, 3, 0, 0, 0, 166, 213
2, 48, 0, 4, 0, 0, 0, 0, 53, 240

Here is another sample, which was generated for a 2 byte data, incrementing a second byte by one:

2, 48, 0, 2, 32, 0, 12, 74
2, 48, 0, 2, 32, 1, 133, 91
2, 48, 0, 2, 32, 2, 30, 105
2, 48, 0, 2, 32, 3, 151, 120
2, 48, 0, 2, 32, 4, 40, 12

Thank you.

 

by: dimitryPosted on 2004-05-10 at 14:24:36ID: 11035316

I tried even CRC-12, but it is not even closed.
What about CRC of next sequence :
2, 48, 0, 1, 0, 0

It maybe not correct from printer protocol point of view, but anyway.

 

by: DmitriyAndreyevPosted on 2004-05-11 at 14:09:09ID: 11044721

Dimitry, I tried what you've asked. The printer did not accept any CRC value for this data: 2, 48, 0, 1, 0, 0. Which makes sense, because it probably interpreted the last 0 in the datastream as a first byte of the CRC. Any other ideas?

 

by: dimitryPosted on 2004-05-11 at 14:45:49ID: 11045003

You are generating sequences somehow. How exactly ?

 

by: dimitryPosted on 2004-05-11 at 15:48:53ID: 11045375

I found how to create CRC. Let me some time to convert the code to readable format.

 

by: dimitryPosted on 2004-05-11 at 16:07:40ID: 11045462

This is the code. Output in Hex format, but it is correct.
#include <stdio.h>
unsigned char string1[] = { 2, 0x30, 0, 2, 0x20, 1 }; // 0x85, 0x5B };
unsigned char string2[] = { 2, 0x30, 0, 2, 0x20, 2 }; // 0x1E, 0x69 };
unsigned char string3[] = { 2, 48, 0, 44, 31, 14, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 80, 82, 79, 68, 85, 67, 84, 32, 83, 85, 77, 77, 65, 82, 89, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 20, 13, 10 }; // 0xC4, 0x82 };

unsigned long reflect(unsigned short crc, int bitnum)
{ // reflects the lower 'bitnum' bits of 'crc'
  unsigned short i, j=1, crcout=0;

  for(i=(unsigned short)1<<(bitnum-1); i; i>>=1) {
    if(crc & i)
      crcout |= j;
    j <<= 1;
  }
  return( crcout );
}

unsigned short crcbitbybit(unsigned char *p, unsigned short len)
{ /* bit by bit algorithm with augmented zero bytes. */
  unsigned short i, j, c, bit;
  unsigned short crc = 0;

  for(i=0; i<len; i++) {
    c = (unsigned short)*p++;
    c = reflect(c, 8);

    for (j=0x80; j; j>>=1) {
      bit = crc & 0x8000;
      crc <<= 1;
      if(c & j)
        crc |= 1;
      if(bit)
        crc ^= 0x1021;
    }
  }      

  for(i=0; i < 16; i++) {
    bit = crc & 0x8000;
    crc <<= 1;
    if(bit)
      crc ^= 0x1021;
  }
  crc = reflect(crc, 16);
  return(crc);
}

int main( void )
{
  printf("Crc = 0x%x\n", crcbitbybit((unsigned char *)string1, sizeof(string1)));
  printf("Crc = 0x%x\n", crcbitbybit((unsigned char *)string2, sizeof(string2)));
  printf("Crc = 0x%x\n", crcbitbybit((unsigned char *)string3, sizeof(string3)));
}

 

by: dimitryPosted on 2004-05-12 at 09:54:48ID: 11051827

Did you succeed to reproduce CRC of your printer with the code I posted ?

 

by: DmitriyAndreyevPosted on 2004-05-12 at 11:08:37ID: 11052488

Dimitry,
You are a true expert!!! The code that you posted works like a charm.

A couple more questoins for you:
1. How did you figure out?
2. What is the name of this CRC algorithm?
3. Please, send me your email address to dandreyev@11.com. My boss wants to personally thank you :)
 

Dmitriy.

 

by: dimitryPosted on 2004-05-12 at 11:31:47ID: 11052687

1. Made a lot of tests with different algorithms that I found in internet.
2. I think it is called: CRC-CCITT 16-bit with data byte reflected before processing (as for UART) and CRC reflected before XOR.
3. Ok. :)

20120131-EE-VQP-002

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