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:
Example 2:
Constraints:
  • The input must be a binary string of length 32

From: LeetCode
Link: 190. Reverse Bits


Solution:

Ideas:
  • Initializes a result variable reversed to 0.
  • Iterates 32 times, corresponding to the 32 bits of an unsigned integer.
  • In each iteration, it shifts reversed to the left to make room for the next bit.
  • It then takes the least significant bit of n by performing n & 1 and ORs it with reversed.
  • Then it shifts n to the right by one, to process the next bit in the next iteration.
Code:
uint32_t reverseBits(uint32_t n) {
    uint32_t reversed = 0;
    for (int i = 0; i < 32; i++) {
        reversed = (reversed << 1) | (n & 1);
        n >>= 1;
    }
    return reversed;
}
11-10 08:36