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242. Number of bit to be flipped to convert one number to another.

Objec­tive:  Given two numbers x and y. write an algorithm to find the number of bits that are to be flipped to convert the number x to y.

Example

x = 10, Y = 20
x = 0 1 0 1 0, y = 1 0 1 0 0
So if we need to convert x to y then a) turn on the bits at 2nd and 5th position b) turn off the bits at 1stand 4thposition.
Output: 4

Approach:

Let’s observe the XOR table

XYResult
000
011
101
110
  • So as we can see that XOR of two numbers will set the bit in the result if the bit is set in either X or Y, not in both.
  • Calculate z = x XOR y.
  • Count the number of set bits in z. this will be the final answer.

Code:

Code:


Output:

Number of bit needs to be flipped to convert 10 to 20 are: 4