# Generate all the binary number from 0 to n

• Difficulty Level : Easy
• Last Updated : 05 Nov, 2019

Given a positive integer number n generate all the binary number from 0 to n.

Examples:

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```Input :  5
Output : 0  1  10  11  100  101
Binary numbers are 0(0), 1(1), 2(10),
3(11), 4(100) and 5(101).

Input : 10
Output : 0 1  10  11  100   101  110
111  1000  1001  1010
```

## Recommended: Please try your approach on {IDE} first, before moving on to the solution.

This program simple use predefined function (itoa() in C++) which convert in which base you want. so simple used these function and convert binary number it is consist three value.

## C++

 `// CPP function to generate all binary number``// from 0 to given number n``#include``#include``using` `namespace` `std;`` ` `// Maximum length of generated binary number``const` `int` `MAX = 100;`` ` `// CPP function to generate all binary number ``// for given number n``char` `binaryGenerator(``int` `n)``{``    ``char` `a[MAX];`` ` `    ``for` `(``int` `i = 0; i <= n; i++) {`` ` `        ``// use define function itoa() to convert ``        ``// in given base``        ``// a is char[] array where value store``        ``// 2  is base, which convert.``        ``itoa(i, a, 2);`` ` `        ``cout << a << endl;``    ``}``}`` ` `// Driven program``int` `main()``{``    ``int` `n = 10;``    ``binaryGenerator(n);``    ``return` `0;``}`

## Java

 `// Java function to generate ``// all binary number from ``// 0 to given number n``import` `java.io.*;`` ` `class` `GFG``{ ``    ``static` `String itoa(``int` `x, ``                       ``int` `base)``    ``{``        ``boolean` `negative = ``false``;``        ``String s = ``""``;``        ``if` `(x == ``0``)``            ``return` `"0"``;``        ``negative = (x < ``0``);``        ``if` `(negative)``            ``x = -``1` `* x;``        ``while` `(x != ``0``) ``        ``{``            ``// add char to``            ``// front of s``            ``s = (x % base) + s; ``             ` `            ``// integer division ``            ``// gives quotient``            ``x = x / base; ``        ``}``        ``if` `(negative)``            ``s = ``"-"` `+ s;``        ``return` `s;``    ``}``     ` `    ``// function to generate``    ``// all binary number ``    ``// for given number n``    ``static` `void` `binaryGenerator(``int` `n)``    ``{``        ``System.out.print(``"0 "``);``        ``for` `(``int` `i = ``1``; i <= n; i++)``        ``{``     ` `            ``// use define function ``            ``// itoa() to convert ``            ``// in given base``            ``// a is char[] array ``            ``// where value store``            ``// 2 is base, which convert.``            ``String a = ``new` `String(itoa(i, ``2``));``             ` `            ``System.out.print(a.substring(``                        ``0``, a.length()) + ``" "``);``        ``}``    ``}``     ` `    ``// Driver Code``    ``public` `static` `void` `main(String args[])``    ``{``        ``int` `n = ``10``;``        ``binaryGenerator(n);``    ``}``}`` ` `// This code is contributed by``// Manish Shaw(manishshaw1)`

## Python3

 `# Python function to generate ``# all binary number from ``# 0 to given number n`` ` `def` `itoa(x, base) :`` ` `    ``negative ``=` `False``    ``s ``=` `""``    ``if` `(x ``=``=` `0``) :``        ``return` `"0"``    ``negative ``=` `(x < ``0``)``    ``if` `(negative) :``        ``x ``=` `-``1` `*` `x``    ``while` `(x !``=` `0``) :``     ` `        ``# add char to``        ``# front of s``        ``s ``=` `str``(x ``%` `base) ``+` `s ``         ` `        ``# integer division ``        ``# gives quotient``        ``x ``=` `int``(x ``/` `base) ``     ` `    ``if` `(negative) :``        ``s ``=` `"-"` `. s`` ` `    ``return` `s`` ` `# function to generate``# all binary number ``# for given number n``def` `binaryGenerator(n) :`` ` `    ``print` `(``"0 "``, end ``=` `"")``    ``for` `i ``in` `range``(``1``, n ``+` `1``) :``     ` `        ``# use define function ``        ``# itoa() to convert ``        ``# in given base``        ``# a is char[] array ``        ``# where value store``        ``# 2 is base, which convert.``        ``a ``=` `itoa(i, ``2``)``         ` `        ``print` `(``"{} "``.``format``(a[``0``:]), end ``=` `"") `` ` `# Driver Code``n ``=` `10``binaryGenerator(n)`` ` `# This code is contributed by``# Manish Shaw(manishshaw1)`

## C#

 `// C# function to generate ``// all binary number from ``// 0 to given number n``using` `System;`` ` `class` `GFG``{ ``    ``static` `String itoa(``int` `n, ``                       ``int` `radix) ``    ``{``        ``if``(0 == n)``            ``return` `"0"``;`` ` `        ``var` `index = 10;``        ``var` `buffer = ``new` `char``[1 + index];``        ``var` `xlat = ``"0123456789abcdefghijklmnopqrstuvwxyz"``;`` ` `        ``for``(``int` `r = Math.Abs(n), q; r > 0; r = q) ``        ``{``            ``q = Math.DivRem(r, radix, ``out` `r);``            ``buffer[index -= 1] = xlat[r];``        ``}`` ` `        ``if``(n < 0) ``        ``{``            ``buffer[index -= 1] = ``'-'``;``        ``}`` ` `        ``return` `new` `String(buffer, index, ``                          ``buffer.Length - ``                                 ``index);``    ``}``     ` `    ``// function to generate``    ``// all binary number ``    ``// for given number n``    ``static` `void` `binaryGenerator(``int` `n)``    ``{``        ``string` `a = ``""``;``        ``Console.Write(``"0 "``);``        ``for` `(``int` `i = 1; i <= n; i++)``        ``{``     ` `            ``// use define function ``            ``// itoa() to convert ``            ``// in given base``            ``// a is char[] array ``            ``// where value store``            ``// 2 is base, which convert.``            ``a = itoa(i, 2);``             ` `            ``Console.Write(a.Substring(``                          ``0, a.Length - 1) + ``" "``);``        ``}``    ``}``     ` `    ``// Driver Code``    ``static` `void` `Main()``    ``{``        ``int` `n = 10;``        ``binaryGenerator(n);``    ``}``}`` ` `// This code is contributed by``// Manish Shaw(manishshaw1)`

## PHP

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Output:

``` 0  1  10  11  100   101  110  111  1000  1001  1010
```

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