1009. Complement of Base 10 Integer

Description

The complement of an integer is the integer you get when you flip all the 0's to 1's and all the 1's to 0's in its binary representation.

• For example, The integer 5 is "101" in binary and its complement is "010" which is the integer 2.

Given an integer n, return its complement.

 

Example 1:

Input: n = 5
Output: 2
Explanation: 5 is "101" in binary, with complement "010" in binary, which is 2 in base-10.

Example 2:

Input: n = 7
Output: 0
Explanation: 7 is "111" in binary, with complement "000" in binary, which is 0 in base-10.

Example 3:

Input: n = 10
Output: 5
Explanation: 10 is "1010" in binary, with complement "0101" in binary, which is 5 in base-10.

 

Constraints:

• 0 <= n < 109

 

Note: This question is the same as 476: https://leetcode.com/problems/number-complement/

 

Solutions

Solution: Bit Manipulation

• Time complexity: O(logn)
• Space complexity: O(1)

 

JavaScript

/**
 * @param {number} n
 * @return {number}
 */
const bitwiseComplement = function (n) {
  if (n === 0) return 1;

  const bits = Math.floor(Math.log2(n)) + 1;
  const mask = (1 << bits) - 1;

  return n ^ mask;
};