CS-Notes/notes/15. 二进制中 1 的个数.md
2019-11-02 12:07:41 +08:00

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# 15. 二进制中 1 的个数
[NowCoder](https://www.nowcoder.com/practice/8ee967e43c2c4ec193b040ea7fbb10b8?tpId=13&tqId=11164&tPage=1&rp=1&ru=/ta/coding-interviews&qru=/ta/coding-interviews/question-ranking&from=cyc_github)
## 题目描述
输入一个整数输出该数二进制表示中 1 的个数
### n&(n-1)
该位运算去除 n 的位级表示中最低的那一位
```
n : 10110100
n-1 : 10110011
n&(n-1) : 10110000
```
时间复杂度O(M)其中 M 表示 1 的个数
```java
public int NumberOf1(int n) {
int cnt = 0;
while (n != 0) {
cnt++;
n &= (n - 1);
}
return cnt;
}
```
### Integer.bitCount()
```java
public int NumberOf1(int n) {
return Integer.bitCount(n);
}
```
<div align="center"><img width="320px" src="https://cs-notes-1256109796.cos.ap-guangzhou.myqcloud.com/githubio/公众号二维码-1.png"></img></div>