# Check if a N base number is Even or Odd

Given a number num in base N, check whether it is even or odd.

Examples:

```Input: num = 10, N = 8
Output: Even
Explanation:
108 = 810, which is even

Input: num = 122, N = 5
Output: Odd
Explanation:
1225 = 3710, which is odd
```

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

Approach:

Below is the implementation of the above approach.

## C++

 `// C++ code to check if a Octal ` `// number is Even or Odd ` `#include ` `using` `namespace` `std; ` ` `  `    ``// To return value of a char. ` `    ``int` `val(``char` `c) ` `    ``{ ` `        ``if` `(c >= ``'0'` `&& c <= ``'9'``) ` `            ``return` `(``int``)c - ``'0'``; ` `        ``else` `            ``return` `(``int``)c - ``'A'` `+ 10; ` `    ``} ` ` `  `    ``// Function to convert a ` `    ``// number from N base to decimal ` `    ``int` `toDeci(string str, ` `                      ``int` `base) ` `    ``{ ` `        ``int` `len = str.length(); ` ` `  `        ``// power of base ` `        ``int` `power = 1; ` ` `  `        ``int` `num = 0; ` `        ``int` `i; ` ` `  `        ``// Decimal equivalent is ` `        ``// str[len-1]*1 + str[len-1] * ` `        ``// base + str[len-1]*(base^2) + ... ` `        ``for` `(i = len - 1; i >= 0; i--) { ` ` `  `            ``// A digit in input number ` `            ``// must be less than ` `            ``// number's base ` `            ``if` `(val(str[i]) >= base) { ` ` `  `                ``cout << ``"Invalid Number"``; ` `                ``return` `-1; ` `            ``} ` ` `  `            ``num += val(str[i])* power; ` `            ``power = power * base; ` `        ``} ` ` `  `        ``return` `num; ` `    ``} ` ` `  `    ``// Returns true if n is even, else odd ` `     ``bool` `isEven(string num, ``int` `N) ` `    ``{ ` ` `  `        ``int` `deci = toDeci(num, N); ` ` `  `        ``return` `(deci % 2 == 0); ` `    ``} ` ` `  `int` `main() ` `{ ` `        ``string num = ``"11A"``; ` `        ``int` `N = 16; ` ` `  `        ``if` `(isEven(num, N)) { ` `            ``cout << ``"Even"``; ` `        ``} ` `        ``else` `{ ` `            ``cout << ``"Odd"``; ` `        ``} ` `} ` ` `  `// This code is contributed by AnkitRai01 `

## Java

 `// Java code to check if a Octal ` `// number is Even or Odd ` ` `  `import` `java.io.*; ` ` `  `class` `Main { ` ` `  `    ``// To return value of a char. ` `    ``static` `int` `val(``char` `c) ` `    ``{ ` `        ``if` `(c >= ``'0'` `&& c <= ``'9'``) ` `            ``return` `(``int``)c - ``'0'``; ` `        ``else` `            ``return` `(``int``)c - ``'A'` `+ ``10``; ` `    ``} ` ` `  `    ``// Function to convert a ` `    ``// number from N base to decimal ` `    ``static` `int` `toDeci(String str, ` `                      ``int` `base) ` `    ``{ ` `        ``int` `len = str.length(); ` ` `  `        ``// power of base ` `        ``int` `power = ``1``; ` ` `  `        ``int` `num = ``0``; ` `        ``int` `i; ` ` `  `        ``// Decimal equivalent is ` `        ``// str[len-1]*1 + str[len-1] * ` `        ``// base + str[len-1]*(base^2) + ... ` `        ``for` `(i = len - ``1``; i >= ``0``; i--) { ` ` `  `            ``// A digit in input number ` `            ``// must be less than ` `            ``// number's base ` `            ``if` `(val(str.charAt(i)) >= base) { ` ` `  `                ``System.out.println(``"Invalid Number"``); ` `                ``return` `-``1``; ` `            ``} ` ` `  `            ``num += val(str.charAt(i)) ` `                   ``* power; ` `            ``power = power * base; ` `        ``} ` ` `  `        ``return` `num; ` `    ``} ` ` `  `    ``// Returns true if n is even, else odd ` `    ``public` `static` `boolean` `isEven( ` `        ``String num, ``int` `N) ` `    ``{ ` ` `  `        ``int` `deci = toDeci(num, N); ` ` `  `        ``return` `(deci % ``2` `== ``0``); ` `    ``} ` ` `  `    ``// Driver code ` `    ``public` `static` `void` `main(String[] args) ` `    ``{ ` `        ``String num = ``"11A"``; ` `        ``int` `N = ``16``; ` ` `  `        ``if` `(isEven(num, N)) { ` `            ``System.out.println(``"Even"``); ` `        ``} ` `        ``else` `{ ` `            ``System.out.println(``"Odd"``); ` `        ``} ` `    ``} ` `} `

## Python3

 `# Python3 code to check if a Octal ` `# number is Even or Odd ` ` `  `# To return value of a char. ` `def` `val(c): ` `    ``if` `(``ord``(c) >``=` `ord``(``'0'``) ``and` `ord``(c) <``=` `ord``(``'9'``)): ` `        ``return` `ord``(c) ``-` `ord``(``'0'``) ` `    ``else``: ` `        ``return` `ord``(c) ``-` `ord``(``'A'``) ``+` `10` ` `  `# Function to convert a ` `# number from N base to decimal ` `def` `toDeci(``str``, base): ` `    ``Len` `=` `len``(``str``) ` ` `  `    ``# power of base ` `    ``power ``=` `1` ` `  `    ``num ``=` `0` ` `  `    ``# Decimal equivaLent is ` `    ``# str[Len-1]*1 + str[Len-1] * ` `    ``# base + str[Len-1]*(base^2) + ... ` `    ``for` `i ``in` `range``(``Len``-``1``, ``-``1``, ``-``1``): ` ` `  `        ``# A digit in input number ` `        ``# must be less than ` `        ``# number's base ` `        ``if` `(val(``str``[i]) >``=` `base): ` ` `  `            ``print``(``"Invalid Number"``) ` `            ``return` `-``1` ` `  `        ``num ``+``=` `val(``str``[i])``*``power ` `        ``power ``=` `power ``*` `base ` ` `  `    ``return` `num ` ` `  `# Returns true if n is even, else odd ` `def` `isEven(num, N): ` ` `  `    ``deci ``=` `toDeci(num, N) ` ` `  `    ``return` `(deci ``%` `2` `=``=` `0``) ` ` `  `# Driver code ` `if` `__name__ ``=``=` `'__main__'``: ` `    ``num ``=` `"11A"` `    ``N ``=` `16` ` `  `    ``if` `(isEven(num, N)): ` `        ``print``(``"Even"``) ` `    ``else``: ` `        ``print``(``"Odd"``) ` ` `  `# This code is contributed by mohit kumar 29 `

## C#

 `// C# code to check if a Octal ` `// number is Even or Odd ` `using` `System; ` ` `  `class` `Gfg{ ` ` `  `    ``// To return value of a char. ` `    ``static` `int` `val(``char` `c) ` `    ``{ ` `        ``if` `(c >= ``'0'` `&& c <= ``'9'``) ` `            ``return` `(``int``)c - ``'0'``; ` `        ``else` `            ``return` `(``int``)c - ``'A'` `+ 10; ` `    ``} ` ` `  `    ``// Function to convert a ` `    ``// number from N base to decimal ` `    ``static` `int` `toDeci(``string` `str,``int` `base_var) ` `    ``{ ` `        ``int` `len = str.Length; ` ` `  `        ``// power of base ` `        ``int` `power = 1; ` ` `  `        ``int` `num = 0; ` `        ``int` `i; ` ` `  `        ``// Decimal equivalent is ` `        ``// str[len-1]*1 + str[len-1] * ` `        ``// base + str[len-1]*(base^2) + ... ` `        ``for` `(i = len - 1; i >= 0; i--) { ` ` `  `            ``// A digit in input number ` `            ``// must be less than ` `            ``// number's base ` `            ``if` `(val(str[i]) >= base_var) { ` ` `  `                ``Console.WriteLine(``"Invalid Number"``); ` `                ``return` `-1; ` `            ``} ` ` `  `            ``num += val(str[i]) ` `                   ``* power; ` `            ``power = power * base_var; ` `        ``} ` ` `  `        ``return` `num; ` `    ``} ` ` `  `    ``// Returns true if n is even, else odd ` `    ``public` `static` `bool` `isEven( ` `        ``string` `num, ``int` `N) ` `    ``{ ` ` `  `        ``int` `deci = toDeci(num, N); ` ` `  `        ``return` `(deci % 2 == 0); ` `    ``} ` ` `  `    ``// Driver code ` `    ``public` `static` `void` `Main(``string``[] args) ` `    ``{ ` `        ``string` `num = ``"11A"``; ` `        ``int` `N = 16; ` ` `  `        ``if` `(isEven(num, N)) { ` `            ``Console.WriteLine(``"Even"``); ` `        ``} ` `        ``else` `{ ` `            ``Console.WriteLine(``"Odd"``); ` `        ``} ` `    ``} ` `} ` ` `  `// This code is contributed by AnkitRai01 `

Output:

```Even
```

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