# Generate all the binary number from 0 to n

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

Examples:

```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

 ` `

Output:

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

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