Bitwise AND Property
In this approach, compute the bitwise AND of all numbers in a given range [L, R]. The algorithm repeatedly clears the least significant bit of ‘R’ using the operation ‘R = R & (R – 1)’ until ‘L’ is no longer less than ‘R’. After reducing the range, it performs a final bitwise AND operation between ‘L’ and the modified ‘R’ to get the result. This method leverages the property that clearing the least significant bits reduces the range until ‘L’ and ‘R’ converge to a common prefix.
Example: The example below shows how to compute the bitwise AND of all numbers in a range using bitwise AND properties in JavaScript.
function rangeBitwiseAnd(L, R) {
while (L < R) {
R = R & (R - 1);
}
return L & R;
}
let L = 3;
let R = 6;
console.log(rangeBitwiseAnd(L, R));
Output
0
Time Complexity: O(N), where N is the size of the range.
Space Complexity: O(1), as it uses a constant amount of additional space regardless of the input size.
Compute the Bitwise AND of all Numbers in a Range using JavaScript
The complexity of bitwise AND computation for all numbers in a specific range is a common challenge faced by developers, particularly when optimizing algorithms. We have given two integers, L and R, and find the bitwise AND of all numbers in the inclusive range from L to R in JavaScript.
Example:
Let's consider an example where L=3 and R=6.
The bitwise AND of all numbers from 3 to 6 is calculated
as follows: 3&4&5&6 = (3&4) & (5&6)
= 0 & 4
= 0
Below are the approaches to compute the bitwise AND of all numbers in a range using JavaScript:
Table of Content
- Bitwise AND Property
- Bitwise Manipulation