‘壹’ CRC16校验码如何计算
首先G(X)=X3+X+1可以得出G(x)=1011[G(x)中的1就是二进制第0位为1,X就是第一位为1,没有X^2,所以第二位为0,X^3则第三位为1。所以就是1011]
M(x)=0011M(x)*x3=0011000
M(x)*x3/G(x)的余数是101所以R(X)=101
CRC码为:M(x)*x3+R(x)=0011000+010=0011010
在计算机网络通信中
运用CRC校验时相对于其他校验方法就有一定的优势。CRC可以高比例的纠正信息传输过程中的错误,可以在极短的时间内完成数据校验码的计算,并迅速完成纠错过程,通过数据包自动重发的方式使得计算机的通信速度大幅提高,对通信效率和安全提供了保障。由于CRC算法检验的检错能力极强,且检测成本较低,因此在对于编码器和电路的检测中使用较为广泛。
以上内容参考:网络-CRC
‘贰’ CRC16检验算法
public class CRC16 {
public static String getData(String data){
byte[] b=data.getBytes();
short crc=0;
for(int n=0;n<b.length;n++){
for (char i = 0x80; i != 0; i >>= 1)
{
if ((crc&0x8000) != 0)
{
crc <<= 1;
crc ^= 0x1021;
}
else
{
crc <<= 1;
}
if ((b[n]&i) != 0)
{
crc ^= 0x1021;
}
}
}
return Integer.toHexString(crc & 0xFFFF);
}
public static void main(String[] args) {
System.out.println(CRC16.getData("1234567890"));
}
}这个肯定可以 我自己测试通过的
‘叁’ crc16校验的c语言程序
下面我们以CRC-16为例来说明任意长度数据流的CRC校验码生成过程。我们采用将数据流分成若干个8bit字符,并由低字节到高字节传送的并行方法来求CRC校验码。具体计算过程为:用一个16bit的寄存器来存放CRC校验值,且设定其初值为0x0000;将数据流的第一个8bit与16bit的CRC寄存器的高字节相异或,并将结果存入CRC寄存器高字节;CRC寄存器左移一位,最低1bit补零,同时检查移出的最高1bit,若移出的最高1bit为0,则继续按上述过程左移,若最高1bit为1,则将CRC寄存器中的值与生成多项式码相异或,结果存入CRC寄存器值;继续左移并重复上述处理方法,直到将8bit数据处理完为止,则此时CRC寄存器中的值就是第一个8bit数据对应的CRC校验码;然后将此时CRC寄存器的值作为初值,用同样的处理方法重复上述步骤来处理下一个8bit数据流,直到将所有的8bit字符都处理完后,此刻CRC寄存器中的值即为整个数据流对应的CRC校验码。
下面示出了其计算过程的流程图:
在用C语言编写CRC校验码的实现程序时我们应该注意,生成多项式 对应的十六进制数为0x18005,由于CRC寄存器左移过程中,移出的最高位为1时与 相异或,所以与16bit的CRC寄存器对应的生成多项式的十六进制数可用0x8005表示。下面给出并行处理8bit数据流的C源程序:
unsigned short crc_dsp(unsigned short reg, unsigned char data_crc)
//reg为crc寄存器, data_crc为将要处理的8bit数据流
{
unsigned short msb; //crc寄存器将移出的最高1bit
unsigned short data;
unsigned short gx = 0x8005, i = 0; //i为左移次数, gx为生成多项式
data = (unsigned short)data_crc;
data = data << 8;
reg = reg ^ data;
do
{
msb = reg & 0x8000;
reg = reg << 1;
if(msb == 0x8000)
{
reg = reg ^ gx;
}
i++;
}
while(i < 8);
return (reg);
}
以上为处理每一个8bit数据流的子程序,在计算整个数据流的CRC校验码时,我们只需将CRC_reg的初值置为0x0000,求第一个8bit的CRC值,之后,即可将上次求得的CRC值和本次将要处理的8bit数据作为函数实参传递给上述子程序的形参进行处理即可,最终返回的reg值便是我们所想得到的整个数据流的CRC校验值。
‘肆’ rfid技术标准采用了哪些crc检验算法
一般用CRC16的C语言算法:
#define PRESET_VALUE 0xFFFF
#define POLYNOMIAL 0x8408
unsigned int uiCrc16Cal(unsigned char const * pucY, unsigned char ucX)
{
unsignedchar ucI,ucJ;
unsignedshort int uiCrcValue = PRESET_VALUE;
for(ucI = 0; ucI < ucX; ucI++)
{
uiCrcValue = uiCrcValue ^ *(pucY + ucI);
for(ucJ = 0; ucJ < 8; ucJ++)
{
if(uiCrcValue& 0x0001)
{
uiCrcValue= (uiCrcValue >> 1) ^ POLYNOMIAL;
}
else
{
uiCrcValue= (uiCrcValue >> 1);
}
}
}
return uiCrcValue;
}
pucY是要计算CRC16的字符数组的入口,ucX是字符数组中字符个数。
上位机收到数据的时候,只要把收到的数据按以上算法进行计算CRC16,结果为0x0000表明数据正确。像UR6258 UR5002等超高频读写器都是用这样的算法的
‘伍’ C语言,编程求助,关于编CRC-16的。
晕!CRC冗余校验的C语言程序网上一大堆,你下个直接用就得了。
‘陆’ 求教 C#语言编写 的CRC16的校验程序 (多项式为:CRC-16/X25 x16+x12+x5+1)
using System;
using System.Collections.Generic;
using System.Linq;
using System.Text;
namespace ConvertToCRC16
{
public static class CRC16Util
{
// CRC高位字节表
private static readonly byte[] m_CRCHighOrderByteTable = new byte[]
{
0x00, 0xC1, 0x81, 0x40, 0x01, 0xC0, 0x80, 0x41, 0x01, 0xC0,
0x80, 0x41, 0x00, 0xC1, 0x81, 0x40, 0x01, 0xC0, 0x80, 0x41,
0x00, 0xC1, 0x81, 0x40, 0x00, 0xC1, 0x81, 0x40, 0x01, 0xC0,
0x80, 0x41, 0x01, 0xC0, 0x80, 0x41, 0x00, 0xC1, 0x81, 0x40,
0x00, 0xC1, 0x81, 0x40, 0x01, 0xC0, 0x80, 0x41, 0x00, 0xC1,
0x81, 0x40, 0x01, 0xC0, 0x80, 0x41, 0x01, 0xC0, 0x80, 0x41,
0x00, 0xC1, 0x81, 0x40, 0x01, 0xC0, 0x80, 0x41, 0x00, 0xC1,
0x81, 0x40, 0x00, 0xC1, 0x81, 0x40, 0x01, 0xC0, 0x80, 0x41,
0x00, 0xC1, 0x81, 0x40, 0x01, 0xC0, 0x80, 0x41, 0x01, 0xC0,
0x80, 0x41, 0x00, 0xC1, 0x81, 0x40, 0x00, 0xC1, 0x81, 0x40,
0x01, 0xC0, 0x80, 0x41, 0x01, 0xC0, 0x80, 0x41, 0x00, 0xC1,
0x81, 0x40, 0x01, 0xC0, 0x80, 0x41, 0x00, 0xC1, 0x81, 0x40,
0x00, 0xC1, 0x81, 0x40, 0x01, 0xC0, 0x80, 0x41, 0x01, 0xC0,
0x80, 0x41, 0x00, 0xC1, 0x81, 0x40, 0x00, 0xC1, 0x81, 0x40,
0x01, 0xC0, 0x80, 0x41, 0x00, 0xC1, 0x81, 0x40, 0x01, 0xC0,
0x80, 0x41, 0x01, 0xC0, 0x80, 0x41, 0x00, 0xC1, 0x81, 0x40,
0x00, 0xC1, 0x81, 0x40, 0x01, 0xC0, 0x80, 0x41, 0x01, 0xC0,
0x80, 0x41, 0x00, 0xC1, 0x81, 0x40, 0x01, 0xC0, 0x80, 0x41,
0x00, 0xC1, 0x81, 0x40, 0x00, 0xC1, 0x81, 0x40, 0x01, 0xC0,
0x80, 0x41, 0x00, 0xC1, 0x81, 0x40, 0x01, 0xC0, 0x80, 0x41,
0x01, 0xC0, 0x80, 0x41, 0x00, 0xC1, 0x81, 0x40, 0x01, 0xC0,
0x80, 0x41, 0x00, 0xC1, 0x81, 0x40, 0x00, 0xC1, 0x81, 0x40,
0x01, 0xC0, 0x80, 0x41, 0x01, 0xC0, 0x80, 0x41, 0x00, 0xC1,
0x81, 0x40, 0x00, 0xC1, 0x81, 0x40, 0x01, 0xC0, 0x80, 0x41,
0x00, 0xC1, 0x81, 0x40, 0x01, 0xC0, 0x80, 0x41, 0x01, 0xC0,
0x80, 0x41, 0x00, 0xC1, 0x81, 0x40
};
// CRC低位字节表
private static readonly byte[] m_CRCLowOrderByteTable = new byte[]
{
0x00, 0xC0, 0xC1, 0x01, 0xC3, 0x03, 0x02, 0xC2, 0xC6, 0x06,
0x07, 0xC7, 0x05, 0xC5, 0xC4, 0x04, 0xCC, 0x0C, 0x0D, 0xCD,
0x0F, 0xCF, 0xCE, 0x0E, 0x0A, 0xCA, 0xCB, 0x0B, 0xC9, 0x09,
0x08, 0xC8, 0xD8, 0x18, 0x19, 0xD9, 0x1B, 0xDB, 0xDA, 0x1A,
0x1E, 0xDE, 0xDF, 0x1F, 0xDD, 0x1D, 0x1C, 0xDC, 0x14, 0xD4,
0xD5, 0x15, 0xD7, 0x17, 0x16, 0xD6, 0xD2, 0x12, 0x13, 0xD3,
0x11, 0xD1, 0xD0, 0x10, 0xF0, 0x30, 0x31, 0xF1, 0x33, 0xF3,
0xF2, 0x32, 0x36, 0xF6, 0xF7, 0x37, 0xF5, 0x35, 0x34, 0xF4,
0x3C, 0xFC, 0xFD, 0x3D, 0xFF, 0x3F, 0x3E, 0xFE, 0xFA, 0x3A,
0x3B, 0xFB, 0x39, 0xF9, 0xF8, 0x38, 0x28, 0xE8, 0xE9, 0x29,
0xEB, 0x2B, 0x2A, 0xEA, 0xEE, 0x2E, 0x2F, 0xEF, 0x2D, 0xED,
0xEC, 0x2C, 0xE4, 0x24, 0x25, 0xE5, 0x27, 0xE7, 0xE6, 0x26,
0x22, 0xE2, 0xE3, 0x23, 0xE1, 0x21, 0x20, 0xE0, 0xA0, 0x60,
0x61, 0xA1, 0x63, 0xA3, 0xA2, 0x62, 0x66, 0xA6, 0xA7, 0x67,
0xA5, 0x65, 0x64, 0xA4, 0x6C, 0xAC, 0xAD, 0x6D, 0xAF, 0x6F,
0x6E, 0xAE, 0xAA, 0x6A, 0x6B, 0xAB, 0x69, 0xA9, 0xA8, 0x68,
0x78, 0xB8, 0xB9, 0x79, 0xBB, 0x7B, 0x7A, 0xBA, 0xBE, 0x7E,
0x7F, 0xBF, 0x7D, 0xBD, 0xBC, 0x7C, 0xB4, 0x74, 0x75, 0xB5,
0x77, 0xB7, 0xB6, 0x76, 0x72, 0xB2, 0xB3, 0x73, 0xB1, 0x71,
0x70, 0xB0, 0x50, 0x90, 0x91, 0x51, 0x93, 0x53, 0x52, 0x92,
0x96, 0x56, 0x57, 0x97, 0x55, 0x95, 0x94, 0x54, 0x9C, 0x5C,
0x5D, 0x9D, 0x5F, 0x9F, 0x9E, 0x5E, 0x5A, 0x9A, 0x9B, 0x5B,
0x99, 0x59, 0x58, 0x98, 0x88, 0x48, 0x49, 0x89, 0x4B, 0x8B,
0x8A, 0x4A, 0x4E, 0x8E, 0x8F, 0x4F, 0x8D, 0x4D, 0x4C, 0x8C,
0x44, 0x84, 0x85, 0x45, 0x87, 0x47, 0x46, 0x86, 0x82, 0x42,
0x43, 0x83, 0x41, 0x81, 0x80, 0x40
};
/// <summary>
/// 获得CRC16效验码
/// </summary>
/// <param name="buffer"></param>
/// <returns></returns>
public static void CalculateCrc16(byte[] buffer, out byte crcHighOrderByte, out byte crcLowOrderByte)
{
// CRC高位字节/低位字节
crcHighOrderByte = crcLowOrderByte = 0xff;
for (int i = 0; i < buffer.Length; i++)
{
// 计算CRC查找索引
int crcIndex = crcHighOrderByte ^ buffer[i];
crcHighOrderByte = (byte)(crcLowOrderByte ^ m_CRCHighOrderByteTable[crcIndex]);
crcLowOrderByte = (byte)m_CRCLowOrderByteTable[crcIndex];
}
}
}
}
// 工具函数如上
‘柒’ 请将CRC16的C语言算法,改造为JAVA语言算法,万分感谢!
public static int CRC16(byte[] Buf, int Len) {
int CRC;
int i, Temp;
CRC = 0xffff;
for (i = 0; i < Len; i++) {
CRC = CRC ^ byteToInteger(Buf[i]);
// System.out.println(byteToInteger(Buf[i]));
for (Temp = 0; Temp < 8; Temp++) {
if ((CRC & 0x01) == 1)
CRC = (CRC >> 1) ^ 0xA001;
else
CRC = CRC >> 1;
}
}
return CRC;
}
‘捌’ crc16 c代码
0x00, 0xC0, 0xC1, 0x01, 0xC3, 0x03, 0x02, 0xC2, 0xC6, 0x06, 0x07, 0xC7, 0x05, 0xC5, 0xC4,
0x04, 0xCC, 0x0C, 0x0D, 0xCD, 0x0F, 0xCF, 0xCE, 0x0E, 0x0A, 0xCA, 0xCB, 0x0B, 0xC9, 0x09,
0x08, 0xC8, 0xD8, 0x18, 0x19, 0xD9, 0x1B, 0xDB, 0xDA, 0x1A, 0x1E, 0xDE, 0xDF, 0x1F, 0xDD,
0x1D, 0x1C, 0xDC, 0x14, 0xD4, 0xD5, 0x15, 0xD7, 0x17, 0x16, 0xD6, 0xD2, 0x12, 0x13, 0xD3,
0x11, 0xD1, 0xD0, 0x10, 0xF0, 0x30, 0x31, 0xF1, 0x33, 0xF3, 0xF2, 0x32, 0x36, 0xF6, 0xF7,
0x37, 0xF5, 0x35, 0x34, 0xF4, 0x3C, 0xFC, 0xFD, 0x3D, 0xFF, 0x3F, 0x3E, 0xFE, 0xFA, 0x3A,
0x3B, 0xFB, 0x39, 0xF9, 0xF8, 0x38, 0x28, 0xE8, 0xE9, 0x29, 0xEB, 0x2B, 0x2A, 0xEA, 0xEE,
0x2E, 0x2F, 0xEF, 0x2D, 0xED, 0xEC, 0x2C, 0xE4, 0x24, 0x25, 0xE5, 0x27, 0xE7, 0xE6, 0x26,
0x22, 0xE2, 0xE3, 0x23, 0xE1, 0x21, 0x20, 0xE0, 0xA0, 0x60, 0x61, 0xA1, 0x63, 0xA3, 0xA2,
0x62, 0x66, 0xA6, 0xA7, 0x67, 0xA5, 0x65, 0x64, 0xA4, 0x6C, 0xAC, 0xAD, 0x6D, 0xAF, 0x6F,
0x6E, 0xAE, 0xAA, 0x6A, 0x6B, 0xAB, 0x69, 0xA9, 0xA8, 0x68, 0x78, 0xB8, 0xB9, 0x79, 0xBB,
0x7B, 0x7A, 0xBA, 0xBE, 0x7E, 0x7F, 0xBF, 0x7D, 0xBD, 0xBC, 0x7C, 0xB4, 0x74, 0x75, 0xB5,
0x77, 0xB7, 0xB6, 0x76, 0x72, 0xB2, 0xB3, 0x73, 0xB1, 0x71, 0x70, 0xB0, 0x50, 0x90, 0x91,
0x51, 0x93, 0x53, 0x52, 0x92, 0x96, 0x56, 0x57, 0x97, 0x55, 0x95, 0x94, 0x54, 0x9C, 0x5C,
0x5D, 0x9D, 0x5F, 0x9F, 0x9E, 0x5E, 0x5A, 0x9A, 0x9B, 0x5B, 0x99, 0x59, 0x58, 0x98, 0x88,
0x48, 0x49, 0x89, 0x4B, 0x8B, 0x8A, 0x4A, 0x4E, 0x8E, 0x8F, 0x4F, 0x8D, 0x4D, 0x4C, 0x8C,
0x44, 0x84, 0x85, 0x45, 0x87, 0x47, 0x46, 0x86, 0x82, 0x42, 0x43, 0x83, 0x41, 0x81, 0x80,
0x40
};
static unsigned char auchCRCHi[]=
{
0x00, 0xC1, 0x81, 0x40, 0x01, 0xC0, 0x80, 0x41, 0x01, 0xC0, 0x80, 0x41, 0x00, 0xC1, 0x81,
0x40, 0x01, 0xC0, 0x80, 0x41, 0x00, 0xC1, 0x81, 0x40, 0x00, 0xC1, 0x81, 0x40, 0x01, 0xC0,
0x80, 0x41, 0x01, 0xC0, 0x80, 0x41, 0x00, 0xC1, 0x81, 0x40, 0x00, 0xC1, 0x81, 0x40, 0x01,
0xC0, 0x80, 0x41, 0x00, 0xC1, 0x81, 0x40, 0x01, 0xC0, 0x80, 0x41, 0x01, 0xC0, 0x80, 0x41,
0x00, 0xC1, 0x81, 0x40, 0x01, 0xC0, 0x80, 0x41, 0x00, 0xC1, 0x81, 0x40, 0x00, 0xC1, 0x81,
0x40, 0x01, 0xC0, 0x80, 0x41, 0x00, 0xC1, 0x81, 0x40, 0x01, 0xC0, 0x80, 0x41, 0x01, 0xC0,
0x80, 0x41, 0x00, 0xC1, 0x81, 0x40, 0x00, 0xC1, 0x81, 0x40, 0x01, 0xC0, 0x80, 0x41, 0x01,
0xC0, 0x80, 0x41, 0x00, 0xC1, 0x81, 0x40, 0x01, 0xC0, 0x80, 0x41, 0x00, 0xC1, 0x81, 0x40,
0x00, 0xC1, 0x81, 0x40, 0x01, 0xC0, 0x80, 0x41, 0x01, 0xC0, 0x80, 0x41, 0x00, 0xC1, 0x81,
0x40, 0x00, 0xC1, 0x81, 0x40, 0x01, 0xC0, 0x80, 0x41, 0x00, 0xC1, 0x81, 0x40, 0x01, 0xC0,
0x80, 0x41, 0x01, 0xC0, 0x80, 0x41, 0x00, 0xC1, 0x81, 0x40, 0x00, 0xC1, 0x81, 0x40, 0x01,
0xC0, 0x80, 0x41, 0x01, 0xC0, 0x80, 0x41, 0x00, 0xC1, 0x81, 0x40, 0x01, 0xC0, 0x80, 0x41,
0x00, 0xC1, 0x81, 0x40, 0x00, 0xC1, 0x81, 0x40, 0x01, 0xC0, 0x80, 0x41, 0x00, 0xC1, 0x81,
0x40, 0x01, 0xC0, 0x80, 0x41, 0x01, 0xC0, 0x80, 0x41, 0x00, 0xC1, 0x81, 0x40, 0x01, 0xC0,
0x80, 0x41, 0x00, 0xC1, 0x81, 0x40, 0x00, 0xC1, 0x81, 0x40, 0x01, 0xC0, 0x80, 0x41, 0x01,
0xC0, 0x80, 0x41, 0x00, 0xC1, 0x81, 0x40, 0x00, 0xC1, 0x81, 0x40, 0x01, 0xC0, 0x80, 0x41,
0x00, 0xC1, 0x81, 0x40, 0x01, 0xC0, 0x80, 0x41, 0x01, 0xC0, 0x80, 0x41, 0x00, 0xC1, 0x81,
0x40
};
bool CRCDecToHex(unsigned char Destination[],unsigned char Source,const int DesLen,int &HexBit);
void UCToASCII(unsigned char Lo16[],int len);
unsigned short CRC16(unsigned char puchmsg[],unsigned short usdatalen);
int main()
{
//unsigned char buf[]={0x01,0xA8,0x98,0x42,0x65,0x74,0x74,0x65,0x72,0x17};
//unsigned char buf[]={0x07,0x11,0x41,0x00,0x53,0xB9,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x03};
unsigned char buf[]={0x00,0x00,0x01,0x00,0x00,0x00,0x1A,0x00,0x1C,0x03};
//unsigned short Len=10;
//unsigned short Len=19;
unsigned short Len=10;
unsigned char Lo=CRC16(buf,Len)%256;
unsigned char Hi=CRC16(buf,Len)/256;
unsigned char Lo16[4]={0};
unsigned char Hi16[4]={0};
printf(" 十进制:低字节Lo=%d\n 十进制:高字节Hi=%d\n",Lo,Hi);
unsigned char temp=Lo;
int ASCIILoLen=0;
CRCDecToHex(Lo16,temp,4,ASCIILoLen);
UCToASCII(Lo16,ASCIILoLen);
printf(" 低字节:Lo16=");
for (int i=0;i<ASCIILoLen;i++)
printf("%c",Lo16[i]);
printf("H\n");
temp=Hi;
int ASCIIHiLen=0;
CRCDecToHex(Hi16,temp,4,ASCIIHiLen);
UCToASCII(Hi16,ASCIIHiLen);
printf(" 高字节:Hi16=");
for (int I=0;I<ASCIIHiLen;I++)
printf("%c",Hi16[I]);
printf("H\n");
return 1;
}
//十进制转十六进制
bool CRCDecToHex(unsigned char Destination[],unsigned char Source,const int DesLen,int &HexBit)
{
unsigned char temp=Source;
int i=DesLen-1;
while(temp>=16)
{
Destination[i]=temp%16;
printf("Lo[%d]=%d\n",i,Destination[i]);
temp=temp/16;
i--;
}
Destination[i]=temp;
printf("Lo[%d]=%d\n",i,Destination[i]);
HexBit=DesLen-1-i+1;
for(int a=i;(a-i)<(DesLen-1-i+1);a++)
{
Destination[a-i]=Destination[a];
printf("移位后:Lo16[%d]=%d\n",a-i,Destination[a-i]);
}
return true;
}
//无符号字符型转ASCII码
void UCToASCII(unsigned char Lo16[],int len)
{
for(int i=0;i<len;i++)
{
if (Lo16[i]>=10)
{
switch (Lo16[i])
{
case 10:
Lo16[i]='A';break;
case 11:
Lo16[i]='B';break;
case 12:
Lo16[i]='C';break;
case 13:
Lo16[i]='D';break;
case 14:
Lo16[i]='E';break;
case 15:
Lo16[i]='F';break;
default: break;
}
}
else
{
Lo16[i]+=48;
}
}
}
unsigned short CRC16(unsigned char puchmsg[],unsigned short usdatalen)
{
unsigned char uchCRCHi=0xFF;
unsigned char uchCRCLo=0xFF;
unsigned short uIndex;
unsigned short y=0;
while(usdatalen--)
{
uIndex=uchCRCHi=(unsigned char)(uchCRCHi ^ puchmsg[y++]);
uchCRCHi=(unsigned char)(uchCRCLo ^ auchCRCHi[uIndex]);
uchCRCLo=auchCRCLo[uIndex];
}
return(unsigned short)(uchCRCLo+uchCRCHi*256);