LeetCode:405. Convert a Number to Hexadecimal
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Description
Given an integer, write an algorithm to convert it to hexadecimal. For negative integer, two’s complement method is used.
Note:
- All letters in hexadecimal (a-f) must be in lowercase.
- The hexadecimal string must not contain extra leading 0s. If the number is zero, it is represented by a single zero character ‘0’; otherwise, the first character in the hexadecimal string will not be the zero character.
- The given number is guaranteed to fit within the range of a 32-bit signed integer.
- You must not use any method provided by the library which converts/formats the number to hex directly.
Example 1:
Input:26Output:"1a"
Example 2:
Input:-1Output:"ffffffff"
原题链接:405. Convert a Number to Hexadecimal
Solution
solution1
思路:
最原始的方法,完全按照数字的源码、反码、补码的格式来转化,这种思路下,就要先将数字转化为2进制,再将二进制转化为十六进制。同时,还需要注意数字为负数时,需要一些特殊的操作。这种解法非常麻烦,但是却非常直接。
代码:
public String toHex(int num) { if (num == 0) { return "0"; } int MAX = 32; boolean isNegative = false; int bits[] = new int[MAX]; if (num < 0) { isNegative = true; bits[MAX - 1] = 1; num = -num; } int i = 0; // 转化为二进制的原码 while (num > 0) { bits[i++] = num % 2; num /= 2; } // 如果是负数,需要取反并且+1从而得到补码 if (isNegative) { // 取反 for (int j = 0; j < bits.length - 1; j++) { bits[j] = (bits[j] + 1) % 2; } // +1 int digit = 1; int res = 0; for (int j = 0; j < bits.length - 1; j++) { res = bits[j] + digit; bits[j] = res % 2; digit = res / 2; } } // 二进制转化为十六进制 String ret = ""; for (int j = 0; j < bits.length; j += 4) { int data = 0; for (int j2 = 0; j2 < 4; j2++) { data += bits[j + j2] * (1 << j2); } ret = String.format("%x", data) + ret; } // 去掉字符串前面多余的0 for (int j = 0; j < ret.length(); j++) { if (ret.charAt(j) != '0') { ret = ret.substring(j); break; } } return ret;}
solution2
思路:
第二种解法就是按位与来获取。计算机内部操作一个数字的时候其实用的就是该数字的补码。既然是要得到十六进制,那么每次与上0xF(二进制就是1111),得到一个值,然后数字向右移动4位。这里需要注意的是数字是有符号的,刚好可以利用Java提供的无符号右移>>>。
代码:
char[] map = {'0','1','2','3','4','5','6','7','8','9','a','b','c','d','e','f'};public String toHex(int num) { if(num == 0) return "0"; String result = ""; while(num != 0){ result = map[(num & 0xF)] + result; num = (num >>> 4); } return result;}
参考:【LeetCode】405 Convert a Number to Hexadecimal (java实现)
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