CRC-CCITT Implementation

Question

I am using the following function to generate a CRC sum and it doesn't appear to be returning the same checksum when compared to online CRC-CCITT calculators.

This function specifically uses the XMODEM CRC generation with a 0x8408 polynomial with an initial fcs of 0xFFFF.

uint16_t crc16(uint8_t byte, uint16_t fcs)
{
    uint8_t bit;

    for(bit=0; bit<8; bit++)
    {
        fcs ^= (byte & 0x01);
        fcs = (fcs & 0x01) ? (fcs >> 1) ^ 0x8408 : (fcs >> 1);
        byte = byte >> 1;
    }
    return fcs;
}

Am I doing something wrong? If I send 0xFF, or 0x00 I do not get the same checksum as I do on http://depa.usst.edu.cn/chenjq/www2/SDesign/JavaScript/CRCcalculation.htm

printf("%04X\n", crc16(0x31, 0xFFFF)); //returns 2F8D

Answer 1

Take a look at Greg Cook's excellent catalog of CRCs. There is a variant often falsely identified as the CCITT CRC, which it isn't. That is what your code, with the 0xFFFF initialization, appears to be computing, though reflected. The Kermit CRC is the actual CCITT CRC. To get the CCITT CRC, you should start with zero, not 0xFFFF. The XMODEM CRC is different still, like the Kermit CRC, but unreflected (so bits go in the top, and you exclusive-or with 0x1021).

KERMIT
width=16 poly=0x1021 init=0x0000 refin=true refout=true xorout=0x0000 check=0x2189 name="KERMIT"

XMODEM
width=16 poly=0x1021 init=0x0000 refin=false refout=false xorout=0x0000 check=0x31c3 name="XMODEM"

CRC-16/CCITT-FALSE
width=16 poly=0x1021 init=0xffff refin=false refout=false xorout=0x0000 check=0x29b1 name="CRC-16/CCITT-FALSE"