# Find the number of integers from 1 to n which contains digits 0’s and 1’s only

Given a number **N**. The task is to find the number of integers from 1 to n which contains digits 0’s and 1’s only.

**Examples:**

Input :N = 15Output :3Explanation :1, 10, 11 are such integers.Input :N = 120Output :7Explanation :1, 10, 11, 100, 101, 110, 111 are such integers.

**Approach**: An efficient approach is to build integers which contain 1’s and 0’s only using a recursive function starting from the number 1. For each number check whether it is less than **n **or not.

Below is the implementation of the above approach:

## C++

`// CPP program to find the number of integers ` `// from 1 to n which contains digits 0's and 1's only ` ` ` `#include <bits/stdc++.h> ` `using` `namespace` `std; ` ` ` `// Function to find the number of integers ` `// from 1 to n which contains 0's and 1's only ` `int` `countNumbers(` `int` `x, ` `int` `n) ` `{ ` ` ` `// If number is greater than n ` ` ` `if` `(x > n) ` ` ` `return` `0; ` ` ` ` ` `// otherwise add count this number and ` ` ` `// call two functions ` ` ` `return` `1 + countNumbers(x * 10, n) + countNumbers(x * 10 + 1, n); ` `} ` ` ` `// Driver code ` `int` `main() ` `{ ` ` ` `int` `n = 120; ` ` ` ` ` `cout << countNumbers(1, n); ` ` ` ` ` `return` `0; ` `} ` |

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## Java

`// Java program to find the number of integers ` `// from 1 to n which contains digits 0's and 1's only ` `class` `GFG ` `{ ` ` ` `// Function to find the number of integers ` `// from 1 to n which contains 0's and 1's only ` `static` `int` `countNumbers(` `int` `x, ` `int` `n) ` `{ ` ` ` `// If number is greater than n ` ` ` `if` `(x > n) ` ` ` `return` `0` `; ` ` ` ` ` `// otherwise add count this number and ` ` ` `// call two functions ` ` ` `return` `1` `+ countNumbers(x * ` `10` `, n) + countNumbers(x * ` `10` `+ ` `1` `, n); ` `} ` ` ` `// Driver code ` `public` `static` `void` `main (String[] args) ` `{ ` ` ` `int` `n = ` `120` `; ` ` ` ` ` `System.out.println(countNumbers(` `1` `, n)); ` `} ` `} ` ` ` `// This code is contributed by chandan_jnu ` |

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## Python3

`# Python3 program to find the number of ` `# integers from 1 to n which contains ` `# digits 0's and 1's only ` ` ` `# Function to find the number of integers ` `# from 1 to n which contains 0's and 1's only ` `def` `countNumbers(x, n): ` ` ` ` ` `# If number is greater than n ` ` ` `if` `x > n : ` ` ` `return` `0` ` ` ` ` `# otherwise add count this number and ` ` ` `# call two functions ` ` ` `return` `(` `1` `+` `countNumbers(x ` `*` `10` `, n) ` `+` ` ` `countNumbers(x ` `*` `10` `+` `1` `, n)) ` ` ` `# Driver code ` `if` `__name__ ` `=` `=` `'__main__'` `: ` ` ` `n ` `=` `120` `; ` ` ` ` ` `print` `(countNumbers(` `1` `, n)); ` ` ` `# This code is contributed by Arnab Kundu ` |

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## C#

`// C# program to find the number of integers ` `// from 1 to n which contains digits 0's and 1's only ` `using` `System; ` ` ` `class` `GFG ` `{ ` ` ` `// Function to find the number of integers ` `// from 1 to n which contains 0's and 1's only ` `static` `int` `countNumbers(` `int` `x, ` `int` `n) ` `{ ` ` ` `// If number is greater than n ` ` ` `if` `(x > n) ` ` ` `return` `0; ` ` ` ` ` `// otherwise add count this number and ` ` ` `// call two functions ` ` ` `return` `1 + countNumbers(x * 10, n) + ` ` ` `countNumbers(x * 10 + 1, n); ` `} ` ` ` `// Driver code ` `public` `static` `void` `Main() ` `{ ` ` ` `int` `n = 120; ` ` ` ` ` `Console.WriteLine(countNumbers(1, n)); ` `} ` `} ` ` ` `// This code is contributed by Ryuga ` |

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## PHP

`<?php ` `// PHP program to find the number of ` `// integers from 1 to n which contains ` `// digits 0's and 1's only ` ` ` `// Function to find the number of integers ` `// from 1 to n which contains 0's and 1's only ` `function` `countNumbers(` `$x` `, ` `$n` `) ` `{ ` ` ` `// If number is greater than n ` ` ` `if` `(` `$x` `> ` `$n` `) ` ` ` `return` `0; ` ` ` ` ` `// otherwise add count this number and ` ` ` `// call two functions ` ` ` `return` `1 + countNumbers(` `$x` `* 10, ` `$n` `) + ` ` ` `countNumbers(` `$x` `* 10 + 1, ` `$n` `); ` `} ` ` ` `// Driver code ` `$n` `= 120; ` ` ` `echo` `(countNumbers(1, ` `$n` `)); ` ` ` `// This code is contributed ` `// by Code_Mech. ` `?> ` |

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**Output:**

7

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