Standard test vector
CRC implementations are commonly verified with the ASCII input 123456789.
- Input format
- ASCII
- Input
- 123456789
- Expected CRC
- 0xC2B7
- Residue
- 0xA366
Result is calculated from the current input. Check is the published verification value for the standard input 123456789. Click another algorithm to view its detail page.
Result
0x007E
Check
0x007E
Result
0x007F
Check
0x007F
Result
0xEA82
Check
0xEA82
Result
0xC2B7
Check
0xC2B7
Result
0xCE3C
Check
0xCE3C
/*
* Model: CRC-16 / EN-13757 (16-bit)
* Poly: 0x3D65, Init: 0x0000, XorOut: 0xFFFF
* CRC Table C Source Code & Lookup Table Generator
*/
#include <stdint.h>
#include <stddef.h>
const uint16_t crc_table[256] = {
0x0000, 0x3D65, 0x7ACA, 0x47AF, 0xF594, 0xC8F1, 0x8F5E, 0xB23B,
0xD64D, 0xEB28, 0xAC87, 0x91E2, 0x23D9, 0x1EBC, 0x5913, 0x6476,
0x91FF, 0xAC9A, 0xEB35, 0xD650, 0x646B, 0x590E, 0x1EA1, 0x23C4,
0x47B2, 0x7AD7, 0x3D78, 0x001D, 0xB226, 0x8F43, 0xC8EC, 0xF589,
0x1E9B, 0x23FE, 0x6451, 0x5934, 0xEB0F, 0xD66A, 0x91C5, 0xACA0,
0xC8D6, 0xF5B3, 0xB21C, 0x8F79, 0x3D42, 0x0027, 0x4788, 0x7AED,
0x8F64, 0xB201, 0xF5AE, 0xC8CB, 0x7AF0, 0x4795, 0x003A, 0x3D5F,
0x5929, 0x644C, 0x23E3, 0x1E86, 0xACBD, 0x91D8, 0xD677, 0xEB12,
0x3D36, 0x0053, 0x47FC, 0x7A99, 0xC8A2, 0xF5C7, 0xB268, 0x8F0D,
0xEB7B, 0xD61E, 0x91B1, 0xACD4, 0x1EEF, 0x238A, 0x6425, 0x5940,
0xACC9, 0x91AC, 0xD603, 0xEB66, 0x595D, 0x6438, 0x2397, 0x1EF2,
0x7A84, 0x47E1, 0x004E, 0x3D2B, 0x8F10, 0xB275, 0xF5DA, 0xC8BF,
0x23AD, 0x1EC8, 0x5967, 0x6402, 0xD639, 0xEB5C, 0xACF3, 0x9196,
0xF5E0, 0xC885, 0x8F2A, 0xB24F, 0x0074, 0x3D11, 0x7ABE, 0x47DB,
0xB252, 0x8F37, 0xC898, 0xF5FD, 0x47C6, 0x7AA3, 0x3D0C, 0x0069,
0x641F, 0x597A, 0x1ED5, 0x23B0, 0x918B, 0xACEE, 0xEB41, 0xD624,
0x7A6C, 0x4709, 0x00A6, 0x3DC3, 0x8FF8, 0xB29D, 0xF532, 0xC857,
0xAC21, 0x9144, 0xD6EB, 0xEB8E, 0x59B5, 0x64D0, 0x237F, 0x1E1A,
0xEB93, 0xD6F6, 0x9159, 0xAC3C, 0x1E07, 0x2362, 0x64CD, 0x59A8,
0x3DDE, 0x00BB, 0x4714, 0x7A71, 0xC84A, 0xF52F, 0xB280, 0x8FE5,
0x64F7, 0x5992, 0x1E3D, 0x2358, 0x9163, 0xAC06, 0xEBA9, 0xD6CC,
0xB2BA, 0x8FDF, 0xC870, 0xF515, 0x472E, 0x7A4B, 0x3DE4, 0x0081,
0xF508, 0xC86D, 0x8FC2, 0xB2A7, 0x009C, 0x3DF9, 0x7A56, 0x4733,
0x2345, 0x1E20, 0x598F, 0x64EA, 0xD6D1, 0xEBB4, 0xAC1B, 0x917E,
0x475A, 0x7A3F, 0x3D90, 0x00F5, 0xB2CE, 0x8FAB, 0xC804, 0xF561,
0x9117, 0xAC72, 0xEBDD, 0xD6B8, 0x6483, 0x59E6, 0x1E49, 0x232C,
0xD6A5, 0xEBC0, 0xAC6F, 0x910A, 0x2331, 0x1E54, 0x59FB, 0x649E,
0x00E8, 0x3D8D, 0x7A22, 0x4747, 0xF57C, 0xC819, 0x8FB6, 0xB2D3,
0x59C1, 0x64A4, 0x230B, 0x1E6E, 0xAC55, 0x9130, 0xD69F, 0xEBFA,
0x8F8C, 0xB2E9, 0xF546, 0xC823, 0x7A18, 0x477D, 0x00D2, 0x3DB7,
0xC83E, 0xF55B, 0xB2F4, 0x8F91, 0x3DAA, 0x00CF, 0x4760, 0x7A05,
0x1E73, 0x2316, 0x64B9, 0x59DC, 0xEBE7, 0xD682, 0x912D, 0xAC48
};
uint16_t calculate_crc(const uint8_t *data, size_t length) {
uint16_t crc = 0x0000;
for (size_t i = 0; i < length; i++) {
#if 0
uint8_t idx = (uint8_t)(crc ^ data[i]);
crc = (crc >> 8) ^ crc_table[idx];
#else
uint8_t idx = (uint8_t)((crc >> 8) ^ data[i]);
crc = (crc << 8) ^ crc_table[idx];
#endif
}
return crc ^ 0xFFFF;
}CRC-16/EN-13757 is used in metering communication standards including M-Bus.
CRC-16/EN-13757 is a 16-bit CRC model defined by polynomial 0x3D65, an initial register value of 0x0000, and final XOR 0xFFFF. It uses normal, non-reflected input and output processing.
Documented application context for this model includes M-Bus, Smart metering, Utility networks. The calculator above applies this exact parameter set to the current input; the published Check value below is instead the fixed verification result for ASCII 123456789.
CRC implementations are commonly verified with the ASCII input 123456789.
A model is identified by its complete parameter set, not its polynomial alone.
Continue with the main calculator, browse the algorithm catalog, compare models in the Algorithm Reference section, or generate a lookup table.
| Parameter | Value | Meaning | Reference |
|---|---|---|---|
| Width | 16 bits | CRC register and result width | Read guide |
| Poly | 0x3D65 | Generator polynomial without the leading term | Read guide |
| Init | 0x0000 | Initial CRC register value | Read guide |
| RefIn | No | Reflect each input byte before processing | Read guide |
| RefOut | No | Reflect the register before XOR Out | Read guide |
| XorOut | 0xFFFF | Final value XORed with the CRC register | Read guide |
| Check | 0xC2B7 | CRC of ASCII “123456789” | Read guide |
| Residue | 0xA366 | Expected residue after appending a valid CRC | Read guide |
For the standard ASCII test input 123456789, the check value of CRC-16/EN-13757 is 0xC2B7.
CRC-16/EN-13757 uses the 16-bit polynomial 0x3D65.
For CRC-16/EN-13757, RefIn is No and RefOut is No.
CRC-16/DNP uses the same polynomial (0x3D65), which is the usual source of mix-ups — matching the polynomial alone does not reproduce CRC-16/EN-13757. The two models differ in input reflection and output reflection, so a port from one to the other needs those fields checked explicitly, not just the poly.