/*
Author - Bohot harami
Motive - Candidate Master banunga ek din
*/
#include<bits/stdc++.h>

/*#include <boost/multiprecision/cpp_int.hpp>
using namespace boost::multiprecision;*/
 
#define ll long long int
#define ld long double
#define bigint int64_t
#define vll vector<ll>
#define vpll vector<pair<ll,ll>>
#define mp make_pair
#define pb push_back
#define MOD 1000000007
#define flash ios_base::sync_with_stdio(false);cin.tie(NULL);
#define test ll t;read(t);while(t--)
#define all(v) v.begin(),v.end()
#define pll pair<ll,ll>
 
/*#include <ext/pb_ds/assoc_container.hpp> // Policy_based_Data_Structure 
#include <ext/pb_ds/graph_policy.hpp> 
using namespace __gnu_pbds;*/ 
 
#define forn(i,n) for(ll (i) = 0 ; (i) < (n) ; ++(i))
#define for1(i,n) for(ll (i) = 1 ; (i) <= (n) ; ++(i))
#define forr(i,n) for(ll (i) = (n)-1 ; (i)>=0 ; --(i))
#define forab(i,a,b,c) for(ll (i) = a ; (i) <= (b) ; (i)+=(c))
 
using namespace std;
template <typename T>
void read(T &x){
    cin >> x;
}
template <typename T , typename T0>
void read(T &x,T0 &y){
    cin >> x >> y;
}
 
template <typename T , typename T0 , typename T1>
void read(T &x,T0 &y,T1 &z){
    cin >> x >> y >> z;
}
 
template <typename T , typename T0 , typename T1 , typename T2>
void read(T &x,T0 &y,T1 &z,T2 &w){
    cin >> x >> y >> z >> w;
}
 
template <typename T , typename T0>
void read(pair< T , T0 > &p){
    cin >> p.fst >>p.scd;
}
 
template <typename T>
void read(vector< T > &oneD,ll n){
    forn(i,n)
    {
        ll x;
        read(x);
        oneD.push_back(x);
    }
}
 
template <typename T>
void read(T oneD[] , ll n){
    for(ll i=0;i<n;i++){
        read(oneD[i]);
    }
}
 
template <typename T>
void write(T &x){
    
    cout << x << " ";
}
 
template <typename T , typename T0>
void write(T &x,T0 &y){
    cout << x << " " << y << "\n";
}
 
template <typename T , typename T0 , typename T1>
void write(T &x,T0 &y,T1 &z){
    cout << x << " " << y << " " << z << "\n";
}
 
template <typename T , typename T0 , typename T1 , typename T2>
void write(T &x,T0 &y,T1 &z,T2 &w){
    cout << x << " " << y << " " << z << " " << w << "\n";
}
 
template <typename T , typename T0>
void write(pair< T , T0 > &p){
    write(p.fst);
    write(p.scd);
    cout << endl;
}
 
template <typename T>
void write(vector< T > &oneD,ll n){
    for(ll i=0;i<n;i++){
        cout<<oneD[i]<<" ";
    }
    cout << endl;
}
 
template <typename T>
void write(T oneD[] ,int n){
    for(ll i=0;i<n;i++){
        write(oneD[i]);
    }
    cout << endl;
}
 
template <typename T , typename T0>
void write(map< T , T0 > &mpp){
    for(auto it : mpp){
        write(it.fst);
        cout << ": ";
        write(it.scd);
        cout << "\n";
    }
    cout<<endl;
}
 
vll seive;
void Seive(){
    const ll maxn = 1000005;
    seive.resize(maxn);
    forn(i,maxn) seive[i] = i;
    forab(i,2,maxn,2)
    seive[i]=2;
    seive[1] = -1;
    seive[0] = -1;
    for(ll i=3;i<=maxn;i+=2) if(i == seive[i]) for(ll j = i*i ; j < maxn ; j+=i) if(seive[j] == j) seive[j] = i;
}
 
ll extended_GCD(ll a , ll b , ll &x , ll &y){
    if(a == 0){
        x = 0;
        y = 1;
        return b;
    }
    ll x1 , y1;
    ll gcd = extended_GCD(b%a , a , x1 , y1);
    x = y1 - (b/a)*x1; 
    y = x1;
    return gcd;
}
 
ll modinv(ll a , ll mod = MOD){
    ll x , y;
    extended_GCD(a , mod , x , y);
    if(x < 0) x += mod;
    return x;
}
 
//Chinese Remainder Theoram
ll find_x_CRT(ll num[],ll rem[],ll n)
{
    ll pro=1;
    forn(i,n)
    pro*=num[i];
    ll res=0;
    forn(i,n)
    {
        ll pp = pro/num[i];
        res+=(rem[i]*modinv(pp,num[i])*pp);
    }
    res%=pro;
    return res;
}
 
ll power(ll a, ll b, ll m = MOD) {
    a%=m;
    ll res = 1;
    while (b > 0) {
        if (b & 1)
            res = res * a %m;
        a = a * a %m;
        b >>= 1;
    }
    return res;
}
 
ll powe(ll a, ll b, ll m = MOD) {
    ll res = 1;
    while (b > 0) {
        if (b & 1)
            res = res * a;
        a = a * a;
        b >>= 1;
    }
    return res;
}
 
ll gcd(ll a, ll b)
{
    if (a == 0)
        return b;
    return gcd(b % a, a);
}
 
string getString(char x) 
{ 
    string s(1, x); 
    return s;    
} 

void update(vll &BIT,ll index,ll inc)
{
    while(index<=BIT.size())
    {
        BIT[index]+=inc;
        index+=(index&(-index));
    }
}

ll query(vll &BIT,ll index)
{
    ll sum=0;
    while(index>0)
    {
        sum+=BIT[index];
        index-=(index&(-index));
    }
    return sum;
}

//typedef graph<ll, null_type, less<ll>, rb_graph_tag,graph_order_bigsmallistics_node_update> index_set
void add_edge(ll u,ll v,vector<vll> &ad)
{
    ad[u].pb(v);
    ad[v].pb(u);
}

void make_set(ll v,vll &parent,vll &siz)
{
	parent[v]=v;
	siz[v]=1;
}

ll find_set(ll x,vll &parent)
{
	if(x==parent[x])
	return x;
	else
	{
		return parent[x]=find_set(parent[x],parent);
	}
}

void union_set(ll a,ll b,vll &siz,vll &parent)
{
	a = find_set(a,parent);
	b = find_set(b,parent);
	if(a!=b)
	{
		if(siz[a]<siz[b])
		swap(a,b);
		parent[b]=a;
		siz[a]+=siz[b];
		siz[b]=0;
	}
}

bool mycomp(string a,string b)
{
    return a.length()>b.length();
}

void solve()
{

}
 
int main()
{
    flash;
    ll n,k;
    read(n,k);
    ld ans = 0.0;
    forab(i,1,n,1)
    {
        ll raise = 0,y=i;
        while(y<k)
        {
            y*=2;
            raise++;
        }
        ll p = powe(2,raise);
        ld f = (1.0/n)*(1.0/p);
        ans+=f;
    }
    cout<<fixed<<setprecision(10)<<ans;
    return 0;
}

Measured memory_bytes: 256