#define	_USE_MATH_DEFINES
#include <iostream>
#include <iomanip>
#include <cctype>
#include <cstdlib>
#include <algorithm>
#include <functional>
#include <vector>
#include <cstdio>
#include <cstring>
#include <cmath>
#include <cfloat>
#include <map>
#include <queue>
#include <stack>
#include <list>
#include <string>
#include <set>
#include <complex>
#include <utility>
#include <numeric>
#include <bitset>
#define  rep(i,n) for(int i=0;i<(n);i++)
#define  REP(i,a,n) for(int i=a;i<(n);i++)
#define  rrep(i,n) for(int i=(n)-1;i>=0;i--)
#define  VI	vector<int>
#define	 VS vector<string>
#define  all(a) (a).begin(),(a).end()
#define  debug(x) cout<<#x<<": "<<x<<endl

using namespace std;
typedef long long int ll;
typedef string::const_iterator State;
typedef pair<int,int> P;
class ParseError {};
const ll INF=1LL<<50;
char fi[101][101];
int day[12]={31,28,31,30,31,30,31,31,30,31,30,31};
double EPS = 1e-14;
const int MAX_V=100;
const int MAX_N=100;
char o[3]={'+','-','*'};
#define md 1000003



int bow[353][353]={0};
double add(double a,double b){
	if(abs(a+b)<EPS*(abs(a)+abs(b)))
	return 0;
	return a+b;
}

/*struct P{
	double x,y;
	P(){}
		P(double x,double y):x(x),y(y){
		}
		P operator + (P p){
			return P(add(x,p.x),add(y,p.y));
		}
		P operator - (P p){
			return P(add(x,-p.x),add(y,-p.y));
		}
		P operator *(double d){
			return P(x*d,y*d);
		}
		double dot(P p){
			return add(x*p.x,y*p.y);
		}
		double det(P p){
			return add(x*p.y,-y*p.x);
		}
};

bool cmp_x(const P& p,const P& q){
	if(p.x!=q.x) return p.x<q.x;
	return p.y<q.y;
}

vector<P> convex_hull(P* ps, int n){
	sort(ps,ps+n,cmp_x);
	int k=0;
	vector<P> 	qs(n*2);
	
	rep(i,n){
		while(k>1&&(qs[k-1]-qs[k-2]).det(ps[i]-qs[k-1])<=0)
			k--;
		qs[k++]=ps[i];
	}
	for(int i=n-2,t=k;i>=0;i--){
		while(k>t&&(qs[k-1]-qs[k-2]).det(ps[i]-qs[k-1])<=0)
		k--;
		qs[k++]=ps[i];
	}
	qs.resize(k-1);
	return qs;
}

int n,m;
vector<double> p;
P ps[101];
*/
//char c[520][520];
long long mod=1000000007;
long long pow(ll i,ll j){
	ll tmp=1;
	while(j){
		if(j%2) tmp=tmp*i%mod;
		i=i*i%mod;
		j/=2;
	}
	return tmp;
}

int expression(State&);
int term(State&);
int factor(State&);
int number(State&);
int expression(State &begin){
	int ret = term(begin);
	
	for(;;){
		if(*begin == '+'){
			begin++;
			ret += term(begin);
		}
		else if(*begin == '-'){
			begin++;
			ret -= term(begin);
		}
		else
			break;
	}
	return ret;
}

int term(State &begin){
	int ret = factor(begin);
	
	for(;;){
		if(*begin=='*'){
			begin++;
			ret *= factor(begin);
		}
		else if(*begin=='/'){
			begin++;
			ret /= factor(begin);
		}
		else
			break;
	}
	return ret;
}

int factor(State &begin){
	int ret;
	if(*begin == '('){
		begin++;
		ret = expression(begin);
		begin++;
	}
	else
	ret = number(begin);
	
	return ret;

}

int number(State &begin){
	int ret =0;
	
	while(isdigit(*begin)){
		ret*=10;
		ret+=*begin - '0';
		begin++;
	}
	return ret;
}
/*int inf=1e9;
struct edge{ll to;
ll cost;};
typedef pair<ll,ll> T;
int V;
vector<edge> G[100000];
bool used[100000];

ll prim(){
	priority_queue<T,vector<T>, greater<T> > que;
	fill(used,used+V,false);
	ll res=0;

	que.push(T(0,0));
	
	while(!que.empty()){
		T t = que.top();
		que.pop();
		int v=t.second;
		if(used[v])
			continue;
		used[v]=true;
		res+=t.first;
		for(int i=0;i<G[v].size();i++){
			
			que.push(T(G[v][i].cost,G[v][i].to));
		}
	}
	return res;
}
*/
int gcd(int a,int b){
	if(!b)	return a;
	return gcd(b,a%b);
}
struct edge {int from, to, cost;};


int n,m;
int s[13]={0};
int d[13][13]={0};
void warshall_floyd(){
	for(int k=1;k<=n;k++){
		for(int i=1;i<=n;i++){
			for(int j=1;j<=n;j++){
				d[i][j]=min(d[i][j],d[i][k]+d[k][j]);
				}
					
			
		}
	}
	
}

int L[10001];
int R[10001];


int main(void){
	
	int n,k;
	double sum=0;
	cin>>n>>k;
	double a=double(1)/n;

	for (int i=1;i<=n;i++){
		for (int j=0;j<18;j++){
			if(i*pow(2,j)>=k){
				//cout<<j<<" "<<pow(0.5,j)<<endl; 
				sum+=a*pow(0.5,j);
				break;
			}
		}
	}
	printf("%.20f\n",sum);
}

Measured memory_bytes: 256