## Bitwise AND of Numbers Range

07/16/2016 Bit Manipulation

## Question

Given a range [m, n] where 0 <= m <= n <= 2147483647, return the bitwise AND of all numbers in this range, inclusive.

For example, given the range [5, 7], you should return 4.

## Solution

Result: Accepted Time: 44 ms

Here should be some explanations.

int rangeBitwiseAnd(int m, int n) {
int ret = 0, tmp = 1, seg = n - m,nm = n&m;
while(m)
{
if(seg < tmp)
ret |= (nm&tmp);
tmp <<= 1;
m >>= 1;
}
return ret;
}


Complexity Analytics

• Time Complexity: $O(log(n))$
• Space Complexity: $O(1)$