#include <bits/stdc++.h>

using namespace std;

typedef long long ll;
typedef unsigned long long ull;

#define Abs(x)((x) < 0 ? (x) * -1 : (x))

#define rep(x, y) for ((x) = 0; (x) < (y); (x)++)
#define repin(x, y) for ((x) = 0; (x) <= (y); (x)++)
#define nep(x, y) for ((x) = (y) - 1; 0 <= (x); (x)--)
#define nepi(x, y, z) for ((x) = (y) - 1; (z) <= (x); (x)--)
#define repi(x, y, z) for ((x) = (z); (x) < (y); (x)++)
#define repiin(x, y, z) for ((x) = (z); (x) <= (y); (x)++)
#define reps(x, y, z) for ((x) = 0; (x) < (y); (x) += (z))
#define repis(x, y, z, s) for ((x) = (z); (x) < (y); (x) += (s))
#define repiins(x, y, z, s) for ((x) = (z); (x) <= (y); (x) += (s))
#define repit(x) for (__typeof((x).begin()) it = (x).begin(); it != (x).end(); it++)
#define repit2(x) for (__typeof((x).begin()) it2 = (x).begin(); it2 != (x).end(); it2++)
#define nepit(x) for (__typeof((x).rbegin()) it = (x).rbegin(); it != (x).rend(); it++)

#define All(x) (x).begin(),(x).end()

#define Mem0(x) memset(x, 0, sizeof(x))
#define Mem1(x) memset(x, -1, sizeof(x))

// can be applied to string type
#define Unique(v) v.resize(unique(All(v)) - v.begin())

#define peq(p0, p1)(p0.first == p1.first && p0.second == p1.second)

#define End '\n'
#define Out(x) cout<<(x)<<End
template<typename T>
void OutN(T x) {
	size_t i, len = x.size() - 1;

	for (i = 0; i < len; i++) cout << x[i] << " ";
	cout << x[len] << '\n';
}
#define OutaN(x)                                                     \
    do {                                                             \
        size_t i, len = sizeof(x) / sizeof(__typeof(x[0])) - 1;      \
        for (i = 0; i < len; i++) cout << x[i] << " ";               \
        cout << x[len] << '\n';                                      \
    } while (0);

template<typename T>
void Outit(T x) {
	auto end = x.end();

	end--;
	
	for (auto it = x.begin(); it != end; it++) cout << *it << " ";
	cout << *end << '\n';
}
template<typename T>
void Debug(const T &val) { cerr << val << End; }
template<typename T, typename... Args>
void Debug(const T &val, Args... args) {
    cerr << val << ' ';
	Debug(std::forward<Args>(args)...);
}

template<typename T> inline bool Max(T &x, const T &y) { return x < y ? x = y, 1 : 0; }
template<typename T> inline bool Min(T &x, const T &y) { return x > y ? x = y, 1 : 0; }
template<typename T> using V = vector<T>;
template<typename T> using VV = V<V<T> >;

// can be applied to string type
#define Sort(v) sort(All(v))
#define SortR(v) sort(All(v), std::greater<__typeof(v[0])>())
// array sorters
#define Sart(a) sort(a, a + sizeof(a) / sizeof(__typeof(a[0])));
#define SartR(a) sort(a, a + sizeof(a) / sizeof(__typeof(a[0])), std::greater<__typeof(a[0])>())

#define pb push_back
#define mp make_pair
#define a first
#define b second
#define lb std::lower_bound
#define ub std::upper_bound

#define lbi(v, x) lb(All(v), (x))-v.begin()
#define ubi(v, x) ub(All(v), (x))-v.begin()

static const ll MOD = 1e9 + 7;
static const double PI = 3.141592653589793;

#define LOCAL 0

int main()
{
#if LOCAL
    freopen("in.txt", "r", stdin);
    freopen("out.txt", "w", stdout);
    freopen("debug.txt", "w", stderr);
#endif

    cin.tie(0);
    ios::sync_with_stdio(false);
	std::cout.precision(18);

    double n, k;

	cin >> n >> k;

	double x = 1.0 / n;
	double y;
	double exp;
	double ans = 0.0;

	double i;

	repiin(i, n, 1.0) {
		if (k <= i) {
			ans += x;

			continue;
		}

	    y = i;
		exp = 0.0;
		while (y < k) {
			y *= 2.0;
			exp += 1.0;
		}
		
		y = pow(0.5, exp);

		ans += x * y;
	}

	Out(ans);
	
	return 0;
}


Measured memory_bytes: 256