190.Reverse Bits
190. Reverse Bits
-
Reverse bits of a given 32 bits unsigned integer.
Note:
- Note that in some languages, such as Java, there is no unsigned integer type. In this case, both input and output will be given as a signed integer type. They should not affect your implementation, as the integer’s internal binary representation is the same, whether it is signed or unsigned.
- In Java, the compiler represents the signed integers using 2’s complement notation. Therefore, in Example 2 above, the input represents the signed integer
-3
and the output represents the signed integer-1073741825
.
Example 1
Input: n = 00000010100101000001111010011100
Output: 964176192 (00111001011110000010100101000000)
Explanation: The input binary string 00000010100101000001111010011100 represents the unsigned integer 43261596, so return 964176192 which its binary representation is 00111001011110000010100101000000.
Example 2
Input: n = 11111111111111111111111111111101
Output: 3221225471 (10111111111111111111111111111111)
Explanation: The input binary string 11111111111111111111111111111101 represents the unsigned integer 4294967293, so return 3221225471 which its binary representation is 10111111111111111111111111111111.
Method 1
【O(1) time | O(1) space】
package Leetcode.BitManipulation;
/**
* @author zhengstars
* @date 2024/06/10
*/
public class ReverseBits {
/**
* Reverse the bits of a given 32 bits unsigned integer.
*
* @param n the input 32 bits unsigned integer
* @return the integer resulting from reversing the bits of {@code n}
*/
public static int reverseBits(int n) {
int result = 0;
// Iterate over the 32 bits of the integer
for (int i = 0; i < 32; i++) {
// Left shift the result to make space for the next bit
// This shifts all bits of result one place to the left
result = result << 1;
// Extract the lowest bit of n using bitwise AND with 1
// If n's current lowest bit is 1, it returns 1; otherwise, it returns 0
int lowestBit = n & 1;
// Combine the shifted result with the lowest bit of n using bitwise OR
// This is equivalent to adding the lowest bit of n to result's lowest place
result = result | lowestBit;
// Right shift n to discard the bit we just processed
// This moves the next bit of n into the lowest place for the next iteration
n = n >> 1;
}
return result;
}
/**
* Reverse the bits of a given 32 bits unsigned integer using Java's built-in method.
*
* @param n the input 32 bits unsigned integer
* @return the integer resulting from reversing the bits of {@code n}
*/
public static int reverseBits2(int n) {
// Use the Integer.reverse method which is a built-in utility to reverse bits
return Integer.reverse(n);
}
public static void main(String[] args) {
// Test case 1
int n1 = 0b00000010100101000001111010011100;
// expected output: 964176192 (0b00111001011110000010100101000000)
System.out.println(reverseBits(n1));
// Test case 2
int n2 = 0b11111111111111111111111111111101;
// expected output: 3221225471 (0b10111111111111111111111111111111)
System.out.println(reverseBits(n2));
}
}
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