需求:将 11010010 转变为 01001011,可以看出是一个简单的从最低位到最高位的一个倒序需求。
网上搜到的都是位运算法,这在计算量大的应用中,一个字节运算8次是非常可耻的。
解决问题的办法当然是越简单越好,查表法将一个字节的256种组合放到数组内,用的时候直接从内存取结果,不用运算,但用在MCU上还是要注意下内存容量(占用了256个字节)。
一、查表法
在高速运算的处理过程中,当然还是直接访问内存更快:
#include <stdio.h>
#define PRINT_BINARY(byte) for (int i = 7; i >= 0; i--) putchar((byte & (1 << i)) ? '1' : '0')// 预先计算好的查表,索引对应 0-255 的逆序结果 unsigned char reverseTable[256] = {0x00, 0x80, 0x40, 0xC0, 0x20, 0xA0, 0x60, 0xE0, 0x10, 0x90, 0x50, 0xD0, 0x30, 0xB0, 0x70, 0xF0,0x08, 0x88, 0x48, 0xC8, 0x28, 0xA8, 0x68, 0xE8, 0x18, 0x98, 0x58, 0xD8, 0x38, 0xB8, 0x78, 0xF8,0x04, 0x84, 0x44, 0xC4, 0x24, 0xA4, 0x64, 0xE4, 0x14, 0x94, 0x54, 0xD4, 0x34, 0xB4, 0x74, 0xF4,0x0C, 0x8C, 0x4C, 0xCC, 0x2C, 0xAC, 0x6C, 0xEC, 0x1C, 0x9C, 0x5C, 0xDC, 0x3C, 0xBC, 0x7C, 0xFC,0x02, 0x82, 0x42, 0xC2, 0x22, 0xA2, 0x62, 0xE2, 0x12, 0x92, 0x52, 0xD2, 0x32, 0xB2, 0x72, 0xF2,0x0A, 0x8A, 0x4A, 0xCA, 0x2A, 0xAA, 0x6A, 0xEA, 0x1A, 0x9A, 0x5A, 0xDA, 0x3A, 0xBA, 0x7A, 0xFA,0x06, 0x86, 0x46, 0xC6, 0x26, 0xA6, 0x66, 0xE6, 0x16, 0x96, 0x56, 0xD6, 0x36, 0xB6, 0x76, 0xF6,0x0E, 0x8E, 0x4E, 0xCE, 0x2E, 0xAE, 0x6E, 0xEE, 0x1E, 0x9E, 0x5E, 0xDE, 0x3E, 0xBE, 0x7E, 0xFE,0x01, 0x81, 0x41, 0xC1, 0x21, 0xA1, 0x61, 0xE1, 0x11, 0x91, 0x51, 0xD1, 0x31, 0xB1, 0x71, 0xF1,0x09, 0x89, 0x49, 0xC9, 0x29, 0xA9, 0x69, 0xE9, 0x19, 0x99, 0x59, 0xD9, 0x39, 0xB9, 0x79, 0xF9,0x05, 0x85, 0x45, 0xC5, 0x25, 0xA5, 0x65, 0xE5, 0x15, 0x95, 0x55, 0xD5, 0x35, 0xB5, 0x75, 0xF5,0x0D, 0x8D, 0x4D, 0xCD, 0x2D, 0xAD, 0x6D, 0xED, 0x1D, 0x9D, 0x5D, 0xDD, 0x3D, 0xBD, 0x7D, 0xFD,0x03, 0x83, 0x43, 0xC3, 0x23, 0xA3, 0x63, 0xE3, 0x13, 0x93, 0x53, 0xD3, 0x33, 0xB3, 0x73, 0xF3,0x0B, 0x8B, 0x4B, 0xCB, 0x2B, 0xAB, 0x6B, 0xEB, 0x1B, 0x9B, 0x5B, 0xDB, 0x3B, 0xBB, 0x7B, 0xFB,0x07, 0x87, 0x47, 0xC7, 0x27, 0xA7, 0x67, 0xE7, 0x17, 0x97, 0x57, 0xD7, 0x37, 0xB7, 0x77, 0xF7,0x0F, 0x8F, 0x4F, 0xCF, 0x2F, 0xAF, 0x6F, 0xEF, 0x1F, 0x9F, 0x5F, 0xDF, 0x3F, 0xBF, 0x7F, 0xFF, };int main() {unsigned char byte = 0b11010010; // 示例输入unsigned char reversed = reverseTable[byte]; // 通过查表获取逆序结果 printf("原始字节:");PRINT_BINARY(byte);printf("\n逆序字节:");PRINT_BINARY(reversed);return 0; }
输出结果:
原始字节:11010010 逆序字节:01001011
二、位运算法
网上大多是这种类似的方式,不是很苛刻的需求也足够用了,实现如下:
#include <stdio.h> #define PRINT_BINARY(byte) \for (int i = 7; i >= 0; i--) \putchar((byte & (1 << i)) ? '1' : '0')unsigned char reverseBits(unsigned char byte) {unsigned char result = 0; // 用于存储结果for (int i = 0; i < 8; i++){result <<= 1; // 左移结果以腾出低位result |= (byte & 1); // 取出 byte 的最低位并赋值到 result 的最低位byte >>= 1; // 右移 byte,准备处理下一个位 }return result; }int main() {unsigned char byte = 0b11010010; // 示例输入unsigned char reversed = reverseBits(byte);printf("原始字节:");PRINT_BINARY(byte);printf("\n逆序字节:");PRINT_BINARY(reversed);return 0; }
输出结果:
原始字节:11010010 逆序字节:01001011