Standard test vector
CRC implementations are commonly verified with the ASCII input 123456789.
- Input format
- ASCII
- Input
- 123456789
- Expected CRC
- 0xF7
CRC-8 / NRSC-5
Width8-bitRefInNoRefOutNoInput data9 bytesUTF-8 bytesText is converted to UTF-8 bytes.
Standard test string
Result
Similar CRC Algorithms
5 modelsBrowse all algorithms
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.
CRC-8 / AUTOSAR
8-bitPoly 0x2FIn No Out No
Result
0xDF
Check
0xDF
CRC-8 / CDMA2000
8-bitPoly 0x9BIn No Out No
Result
0xDA
Check
0xDA
CRC-8 / HITAG
8-bitPoly 0x1DIn No Out No
Result
0xB4
Check
0xB4
CRC-8 / MAXIM-DOW
8-bitPoly 0x31In Yes Out Yes
Result
0xA1
Check
0xA1
CRC-8 / NRSC-5 Current
8-bitPoly 0x31In No Out No
Result
0xF7
Check
0xF7
CRC Lookup Table
CRC-8 / NRSC-5 · Poly 0x31 · Init 0xFF · XorOut 0x00 · 256 entries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 Source Code
CRC-8 / NRSC-5 · Poly 0x31 · Init 0xFF · XorOut 0x00 · C · 56 lines
/*
* Model: CRC-8 / NRSC-5 (8-bit)
* Poly: 0x31, Init: 0xFF, XorOut: 0x00
* CRC Table C Source Code & Lookup Table Generator
*/
#include <stdint.h>
#include <stddef.h>
const uint8_t crc_table[256] = {
0x00, 0x31, 0x62, 0x53, 0xC4, 0xF5, 0xA6, 0x97,
0xB9, 0x88, 0xDB, 0xEA, 0x7D, 0x4C, 0x1F, 0x2E,
0x43, 0x72, 0x21, 0x10, 0x87, 0xB6, 0xE5, 0xD4,
0xFA, 0xCB, 0x98, 0xA9, 0x3E, 0x0F, 0x5C, 0x6D,
0x86, 0xB7, 0xE4, 0xD5, 0x42, 0x73, 0x20, 0x11,
0x3F, 0x0E, 0x5D, 0x6C, 0xFB, 0xCA, 0x99, 0xA8,
0xC5, 0xF4, 0xA7, 0x96, 0x01, 0x30, 0x63, 0x52,
0x7C, 0x4D, 0x1E, 0x2F, 0xB8, 0x89, 0xDA, 0xEB,
0x3D, 0x0C, 0x5F, 0x6E, 0xF9, 0xC8, 0x9B, 0xAA,
0x84, 0xB5, 0xE6, 0xD7, 0x40, 0x71, 0x22, 0x13,
0x7E, 0x4F, 0x1C, 0x2D, 0xBA, 0x8B, 0xD8, 0xE9,
0xC7, 0xF6, 0xA5, 0x94, 0x03, 0x32, 0x61, 0x50,
0xBB, 0x8A, 0xD9, 0xE8, 0x7F, 0x4E, 0x1D, 0x2C,
0x02, 0x33, 0x60, 0x51, 0xC6, 0xF7, 0xA4, 0x95,
0xF8, 0xC9, 0x9A, 0xAB, 0x3C, 0x0D, 0x5E, 0x6F,
0x41, 0x70, 0x23, 0x12, 0x85, 0xB4, 0xE7, 0xD6,
0x7A, 0x4B, 0x18, 0x29, 0xBE, 0x8F, 0xDC, 0xED,
0xC3, 0xF2, 0xA1, 0x90, 0x07, 0x36, 0x65, 0x54,
0x39, 0x08, 0x5B, 0x6A, 0xFD, 0xCC, 0x9F, 0xAE,
0x80, 0xB1, 0xE2, 0xD3, 0x44, 0x75, 0x26, 0x17,
0xFC, 0xCD, 0x9E, 0xAF, 0x38, 0x09, 0x5A, 0x6B,
0x45, 0x74, 0x27, 0x16, 0x81, 0xB0, 0xE3, 0xD2,
0xBF, 0x8E, 0xDD, 0xEC, 0x7B, 0x4A, 0x19, 0x28,
0x06, 0x37, 0x64, 0x55, 0xC2, 0xF3, 0xA0, 0x91,
0x47, 0x76, 0x25, 0x14, 0x83, 0xB2, 0xE1, 0xD0,
0xFE, 0xCF, 0x9C, 0xAD, 0x3A, 0x0B, 0x58, 0x69,
0x04, 0x35, 0x66, 0x57, 0xC0, 0xF1, 0xA2, 0x93,
0xBD, 0x8C, 0xDF, 0xEE, 0x79, 0x48, 0x1B, 0x2A,
0xC1, 0xF0, 0xA3, 0x92, 0x05, 0x34, 0x67, 0x56,
0x78, 0x49, 0x1A, 0x2B, 0xBC, 0x8D, 0xDE, 0xEF,
0x82, 0xB3, 0xE0, 0xD1, 0x46, 0x77, 0x24, 0x15,
0x3B, 0x0A, 0x59, 0x68, 0xFF, 0xCE, 0x9D, 0xAC
};
uint8_t calculate_crc(const uint8_t *data, size_t length) {
uint8_t crc = 0xFF;
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 >> 0) ^ data[i]);
crc = (crc << 8) ^ crc_table[idx];
#endif
}
return crc ^ 0x00;
}About CRC-8/NRSC-5
CRC-8/NRSC-5 is an 8-bit CRC used by the NRSC-5 in-band on-channel digital radio standard.
CRC-8/NRSC-5 is a 8-bit CRC model defined by polynomial 0x31, an initial register value of 0xFF, and final XOR 0x00. It uses normal, non-reflected input and output processing.
Documented application context for this model includes NRSC-5, HD Radio, Digital broadcast. 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.
Model characteristics
A model is identified by its complete parameter set, not its polynomial alone.
- Bit order
- Normal
- Register start
- 0xFF
- Final XOR
- 0x00
- Published check
- 0xF7
Implementation checks for CRC-8/NRSC-5
- Use a 8-bit register and polynomial 0x31.
- Initialize the register to 0xFF and use XorOut 0x00 exactly as listed; changing either value defines a different model.
- Verify the implementation with ASCII “123456789”; the expected result is 0xF7.
Continue with the main calculator, browse the algorithm catalog, compare models in the Algorithm Reference section, or generate a lookup table.
Complete CRC-8/NRSC-5 parameters
| Parameter | Value | Meaning | Reference |
|---|---|---|---|
| Width | 8 bits | CRC register and result width | Read guide |
| Poly | 0x31 | Generator polynomial without the leading term | Read guide |
| Init | 0xFF | 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 | 0x00 | Final value XORed with the CRC register | Read guide |
| Check | 0xF7 | CRC of ASCII “123456789” | Read guide |
| Residue | Not listed | Expected residue after appending a valid CRC | Read guide |
AliasesNRSC-5 CRC-8
Where CRC-8/NRSC-5 is used
- 01NRSC-5
- 02HD Radio
- 03Digital broadcast
CRC-8/NRSC-5 FAQ
What is the check value for CRC-8/NRSC-5?
For the standard ASCII test input 123456789, the check value of CRC-8/NRSC-5 is 0xF7.
What polynomial does CRC-8/NRSC-5 use?
CRC-8/NRSC-5 uses the 8-bit polynomial 0x31.
Does CRC-8/NRSC-5 use reflected input and output?
For CRC-8/NRSC-5, RefIn is No and RefOut is No.
What is CRC-8/NRSC-5 commonly confused with?
CRC-8/MAXIM-DOW uses the same polynomial (0x31), which is the usual source of mix-ups — matching the polynomial alone does not reproduce CRC-8/NRSC-5. The two models differ in initial value, input reflection, and output reflection, so a port from one to the other needs those fields checked explicitly, not just the poly.