#include<iostream>
#include<vector>
#include<algorithm>
#include<string>
#include<cmath>
#include<map>
#include<cstdio>
#include<stack>
#include<queue>
#include<fstream>
#include<cstdio>
#include<deque>
#include<iomanip>
#include <numeric>
#include<tuple>
//#include<bits/stdc++.h>

using namespace std;
#define ok1 printf("ok1\n");
#define ok2 printf("ok2\n");
#define M 1000000000000000000LL
#define rep(i,n) for(int i=0;i<n;++i)
#define REP(i,s,n) for(int i=(s);i<(n);++i)
#define repr(i,n) for(int i=n-1;i>=0;--i)
#define REPR(i,s,n) for(int i=(s);i>=(n);--(i))
#define all(a) (a).begin(),(a).end()
#define reall(a) (a).rbegin(),(a).rend()
#define pb push_back
#define pf push_front
#define MIN(a,b) a=min((a),(b))
#define MAX(a,b) a=max((a),(b))
#define SIZE(v) (int)v.size()
#define fi first
#define se second
const double pi = acos(-1.0);

typedef vector<int> vi;
typedef vector<string> vs;
typedef long long ll;
typedef vector<ll> vll;
typedef vector<vi> vvi;
typedef vector<vll> vvll;
typedef vector<char> vc;
typedef vector<double> vd;
typedef vector<bool> vb;
typedef deque<ll> dll;
typedef pair<ll, ll> P;
typedef vector<P> vP;
using Edge = pair<int, ll>;
using Graph = vector<vector<Edge> >;
const ll mod = 1e9 + 7;
ll dx[4] = { 1,0,-1,0 };
ll dy[4] = { 0,1,0,-1 };

void printvll(vll v) {
	cout << "------------------------------------------------\n";
	rep(i, v.size()) cout << v[i] << " ";
	cout << endl;
	cout << "------------------------------------------------\n";
}
void printvvll(vvll v) {
	cout << "------------------------------------------------\n";
	rep(i, v.size()) {
		rep(j, v[i].size()) {
			cout << v[i][j] << " ";
		}
		cout << endl;
	}
	cout << "------------------------------------------------\n";
}

void prints(string s) {
	cout << "------------------------------------------------\n";
	rep(i, s.size()) cout << s[i] << " ";
	cout << endl;
	cout << "------------------------------------------------\n";
}

void printvs(vs s) {
	cout << "------------------------------------------------\n";
	rep(i, s.size()) {
		rep(j, s[i].size()) {
			cout << s[i][j] << " ";
		}
		cout << endl;
	}
	cout << "------------------------------------------------\n";
}

void Yes(bool x) {
	if (x) cout << "Yes\n";
	else cout << "No\n";
}

void YES(bool x) {
	if (x) cout << "YES\n";
	else cout << "NO\n";
}

void yes(bool x) {
	if (x) cout << "yes\n";
	else cout << "no\n";
}

void Yay(bool x) {
	if (x) cout << "Yay!\n";
	else cout << ":(\n";
}
ll gcd(ll x, ll y)
{
	ll r;
	while ((r = x % y) != 0)
	{
		x = y;
		y = r;
	}
	return y;
}
ll lcm(ll x, ll y)
{
	x /= gcd(x, y);
	y /= gcd(x, y);
	return (x * y);
}



ll  d, n, r, l, k, ans = 0, ret = M;
bool flag = false, flag2 = false, flag3 = false;
string s,t;

int main() {
	cin.tie(0);
	ios::sync_with_stdio(false);
	/*cin >> n >> k >> s;
	s[k-1] = s[k-1] - 'A' + 'a';
	cout << s << endl;*/
	/*cin >> s;
	ll a = (s[0] - '0') * 10 + (s[1] - '0');
	ll b = (s[2] - '0') * 10 + (s[3] - '0');
	if (b == 0) {
		cout << "NA\n";
		return 0;
	}
	if (a <= 12) {
		//ok1
		if (b <= 12) {
			cout << "AMBIGUOUS\n";
		}
		else {
			if (a == 0) {
				puts("NA");
				return 0;
			}
			cout << "MMYY\n";
		}
	}
	else {
		//ok2
		if (b <= 12) cout << "YYMM\n";
		else cout << "NA\n";
	}*/
	double an=0.0;
	cin >> n >> k;
	REP(i, 1, n+1) {
		ll a = i;
		double b = 1;
		while (1) {
			if (a >= k) break;
			a *= 2;
			b *= 2;
		}
		//cout << b * n << endl;
		an += (double)1 / (b*n);
		//cout << an << endl;
	}
	cout << fixed << setprecision(10) << an << endl;
	return 0;
}

Measured memory_bytes: 256