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Use recursion.
- Murali Mohan September 28, 2010Base case- f(k): if k has binary digits with all 1s aligned to the right,(and all 0s to the left) return 1;
Recursion- f(k) : return 1 + f(next_lesser_num(k))
next_lesser_num(k) = start from LSD. keep going to the left until you encounter a 0. Now, keep going to the left until to encounter a 1. Flip this 1 to 0 and the zero to the immediate right to 1.