#include<bits/stdc++.h>
#include<ext/pb_ds/assoc_container.hpp>
#pragma GCC optimize "-O3"
//#pragma GCC optimize("Ofast,no-stack-protector")
//#pragma GCC target("mmx,avx,fma")
//#pragma GCC optimize ("unroll-loops")

using namespace __gnu_pbds;
using namespace std;

template <class T>
istream& operator >> (istream& in, vector<T>& v){ for(auto& e : v){ in >> e;} return in;}
template <class T>
istream& operator >> (istream& in, vector<pair<T, T> >& v){ for(auto& e : v){ in >> e.first >> e.second;} return in;}

#define int long long
#define pb push_back
#define mk make_pair
#define X first
#define Y second
#define cont continue
#define ret return
#define For(i, a, b) for (int i = a; i < b;i++)
#define forn(i, a) for (int i = 0;i < a;i++)
#define ford(i, a, b) for (int i = b - 1;i >= a;i--)
#define fordn(i, a) for (int i = a - 1;i >= 0;i--)
#define forr(x, arr) for(auto &x: arr)
#define all(x) x.begin(),x.end()
#define rall(x) x.rbegin(),x.rend()
#define REE(s_) {cout << s_ << '\n';exit(0);}
//#define endl '\n'
#define makeunique(x) sort(all(x)), (x).resize(unique(all(x)) - (x).begin())
#ifdef debug
template <char d = ' ', class T>
    ostream& operator << (ostream& out, vector<T>& v){ out << "[";for(int i = 0;i < v.size();i++){out << v[i];if (i != v.size() - 1) out << ", ";} out << "]\n"; return out; }
    template <char d = ' ', class T>
    ostream& operator << (ostream& out, vector<pair<T, T> >& v){ out << "[";for(int i = 0;i < v.size();i++){ out << ' ' << v[i].first << ", " << v[i].second; if (i != v.size() - 1) out << '\n'; } out << "]"; return out;}
    template <char d = ' ', class T>
    ostream& operator << (ostream& out, set<T>& v){out << "["; for(auto i = v.begin();i != v.end();i++){ out << *i; if (*i != *v.rbegin()) out << ", ";} out << "]"; return out;}
#else
template <char d = ' ', class T>
ostream& operator << (ostream& out, vector<T>& v){ for(auto& e : v){ out << e << d;} return out;}
template <char d = ' ', class T>
ostream& operator << (ostream& out, vector<pair<T, T> >& v){ for(auto& e : v){ out << e.first << ' ' << e.second << '\n';} return out;}
template <char d = ' ', class T>
ostream& operator << (ostream& out, set<T>& v){ for(auto& e : v){ out << e << d;} return out;}
#endif
typedef double dd;
typedef long double ldd;
typedef pair<int, int> pii;
typedef vector<int> vi;
typedef vector<string> vs;
typedef vector<pii> vpi;
typedef vector<vi> vvi;
typedef map<int, int> mii;
typedef map<string, int> msi;
typedef set<int> si;
typedef tree<int,null_type,less<int>,rb_tree_tag,tree_order_statistics_node_update> indexed_set;
template<class T> bool uin(T &a, T b) { return a > b ? (a = b, true) : false; }
template<class T> bool uax(T &a, T b) { return a < b ? (a = b, true) : false; }
template <typename T> string toString(T val){ostringstream oss; oss << val; return oss.str();}

const int dx[4] = {1, 0, -1, 0};
const int dy[4] = {0, 1, 0, -1};
//const int dx[8] = {0, 0, 1, 1, 1, -1, -1, -1};
//const int dy[8] = {1, -1, 1, 0, -1, 1, 0, -1};
//const int dx[8] = {2, 2, 1, 1, -1, -1, -2, -2};
//const int dy[8] = {1, -1, 2, -2, 2, -2, 1, -1};

const int mod = (int)1e9 + 7;

//int powq(int a, int n, int mod) {
//    int res = 1;
//    while (n){
//        if (n & 1) {
//            (res *= a) %= mod;
//            --n;
//        }
//        else {
//            (a *= a) %= mod;
//            n >>= 1;
//        }
//
//    }
//    res %= mod;
//    return res;
//}

signed main(){
    ios_base::sync_with_stdio(false); cin.tie(0); cout.tie(0);
    #ifdef KULA
    //        freopen("input.txt", "r", stdin);
    //        freopen("output.txt", "w", stdout);
    #else
    //        freopen("input.txt", "r", stdin);
    //        freopen("output.txt", "w", stdout);
    #endif
    int n, k;
    cin >> n >> k;
    ldd ans = 0;
    For(i, 1, n + 1){
        int gg = i;
        int flip = 0;
        while(gg < k){
            ++flip;
            gg <<= 1;
        }
        ldd qwe = 1. / n;
        qwe *= pow(0.5, flip);
        ans += qwe;
    }
    cout << fixed << setprecision(20) << ans;
    return 0;
}

Measured memory_bytes: 256