import java.util.Scanner;

public class Main {

	public static void main(String[] args) {

		Scanner sc = new Scanner(System.in);

		int n = sc.nextInt();
		int k = sc.nextInt();

		double exp = (double) 1 / n;
		double sum = 0;

		for (int i = 1; i <= n; i++) {
			int count = 1;
			int tmp = i;
			while (tmp < k) {
				tmp *= 2;
				count *= 2;
			}
			sum += exp / count;
		}

		System.out.println(sum);

	}
} import java.util.Scanner; Scanner java.util public class Main {

	public static void main(String[] args) {

		Scanner sc = new Scanner(System.in);

		int n = sc.nextInt();
		int k = sc.nextInt();

		double exp = (double) 1 / n;
		double sum = 0;

		for (int i = 1; i <= n; i++) {
			int count = 1;
			int tmp = i;
			while (tmp < k) {
				tmp *= 2;
				count *= 2;
			}
			sum += exp / count;
		}

		System.out.println(sum);

	}
} Main public static void main(String[] args) {

		Scanner sc = new Scanner(System.in);

		int n = sc.nextInt();
		int k = sc.nextInt();

		double exp = (double) 1 / n;
		double sum = 0;

		for (int i = 1; i <= n; i++) {
			int count = 1;
			int tmp = i;
			while (tmp < k) {
				tmp *= 2;
				count *= 2;
			}
			sum += exp / count;
		}

		System.out.println(sum);

	} main {

		Scanner sc = new Scanner(System.in);

		int n = sc.nextInt();
		int k = sc.nextInt();

		double exp = (double) 1 / n;
		double sum = 0;

		for (int i = 1; i <= n; i++) {
			int count = 1;
			int tmp = i;
			while (tmp < k) {
				tmp *= 2;
				count *= 2;
			}
			sum += exp / count;
		}

		System.out.println(sum);

	} Scanner sc = new Scanner(System.in); sc new Scanner(System.in) int n = sc.nextInt(); n sc.nextInt() sc.nextInt sc int k = sc.nextInt(); k sc.nextInt() sc.nextInt sc double exp = (double) 1 / n; exp (double) 1 / n (double) 1 n double sum = 0; sum 0 for (int i = 1; i <= n; i++) {
			int count = 1;
			int tmp = i;
			while (tmp < k) {
				tmp *= 2;
				count *= 2;
			}
			sum += exp / count;
		} int i = 1; int i = 1; i 1 i <= n i n i++ i++ i {
			int count = 1;
			int tmp = i;
			while (tmp < k) {
				tmp *= 2;
				count *= 2;
			}
			sum += exp / count;
		} {
			int count = 1;
			int tmp = i;
			while (tmp < k) {
				tmp *= 2;
				count *= 2;
			}
			sum += exp / count;
		} int count = 1; count 1 int tmp = i; tmp i while (tmp < k) {
				tmp *= 2;
				count *= 2;
			} tmp < k tmp k {
				tmp *= 2;
				count *= 2;
			} tmp *= 2 tmp 2 count *= 2 count 2 sum += exp / count sum exp / count exp count System.out.println(sum) System.out.println System.out System System.out sum String[] args args public class Main {

	public static void main(String[] args) {

		Scanner sc = new Scanner(System.in);

		int n = sc.nextInt();
		int k = sc.nextInt();

		double exp = (double) 1 / n;
		double sum = 0;

		for (int i = 1; i <= n; i++) {
			int count = 1;
			int tmp = i;
			while (tmp < k) {
				tmp *= 2;
				count *= 2;
			}
			sum += exp / count;
		}

		System.out.println(sum);

	}
} public class Main {

	public static void main(String[] args) {

		Scanner sc = new Scanner(System.in);

		int n = sc.nextInt();
		int k = sc.nextInt();

		double exp = (double) 1 / n;
		double sum = 0;

		for (int i = 1; i <= n; i++) {
			int count = 1;
			int tmp = i;
			while (tmp < k) {
				tmp *= 2;
				count *= 2;
			}
			sum += exp / count;
		}

		System.out.println(sum);

	}
} Main
import java.util.Scanner;

public class Main {

	public static void main(String[] args) {

		Scanner sc = new Scanner(System.in);

		int n = sc.nextInt();
		int k = sc.nextInt();

		double exp = (double) 1 / n;
		double sum = 0;

		for (int i = 1; i <= n; i++) {
			int count = 1;
			int tmp = i;
			while (tmp < k) {
				tmp *= 2;
				count *= 2;
			}
			sum += exp / count;
		}

		System.out.println(sum);

	}
}