# Alternate bits of two numbers to create a new number

• Difficulty Level : Hard
• Last Updated : 07 Apr, 2021

Given two numbers, the task is to use alternative bits within two numbers to create result. We take first bits of second number, then second bit of the first number, third bit of second number and take the fourth bit of a first number and so on and generate a number with it.
Examples :

```Input : n = 10, m = 11
Output : 11
Start from right of second number
Binary representation of n = 1 0 1 0
^   ^
Binary representation of m = 1 0 1 1
^   ^
Output  is                 = 1 0 1 1

Input : n = 20, m = 7
Output : 5
Start from right of second number
binary representation of n = 1 0 1 0 0
^   ^
binary representation of m = 0 0 1 1 1
^   ^   ^
Output  is                 = 0 0 1 0 1   ```

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Approach :-
1. Get the set even bits number of n.
2. Get the set odd bits number of m.
3. return OR of these number.

## C++

 `// CPP Program to generate a number using``// alternate bits of two numbers.``#include ``using` `namespace` `std;` `// set even bit of number n``int` `setevenbits(``int` `n)``{``    ``int` `temp = n;``    ``int` `count = 0;` `    ``// res for store 101010.. number``    ``int` `res = 0;` `    ``// generate number form of 101010.....``    ``// till temp size``    ``for` `(temp = n; temp > 0; temp >>= 1) {` `        ``// if bit is even then generate``        ``// number and or with res``        ``if` `(count % 2 == 1)``            ``res |= (1 << count);` `        ``count++;``    ``}` `    ``// return set even bit number``    ``return` `(n & res);``}` `// set odd bit of number m``int` `setoddbits(``int` `m)``{``    ``int` `count = 0;` `    ``// res for store 101010.. number``    ``int` `res = 0;` `    ``// generate number form of 101010....``    ``// till temp size``    ``for` `(``int` `temp = m; temp > 0; temp >>= 1) {` `        ``// if bit is even then generate``        ``// number and or with res``        ``if` `(count % 2 == 0)``            ``res |= (1 << count);` `        ``count++;``    ``}` `    ``// return set odd bit number``    ``return` `(m & res);``}` `int` `getAlternateBits(``int` `n, ``int` `m)``{``    ``// set even bit of number n``    ``int` `tempn = setevenbits(n);` `    ``// set odd bit of number m``    ``int` `tempm = setoddbits(m);` `    ``// take OR with these number``    ``return` `(tempn | tempm);``}` `// Driver code``int` `main()``{``    ``int` `n = 10;``    ``int` `m = 11;` `    ``// n  = 1 0 1 0``    ``//        ^   ^``    ``// m  = 1 0 1 1``    ``//          ^   ^``    ``// result= 1 0 1 1` `    ``cout << getAlternateBits(n, m);` `    ``return` `0;``}`

## Java

 `// java Program to generate a number using``// alternate bits of two numbers.``import` `java.io.*;` `class` `GFG {``    ` `    ``// set even bit of number n``    ``static` `int` `setevenbits(``int` `n)``    ``{``    ` `        ``int` `temp = n;``        ``int` `count = ``0``;``    ` `        ``// res for store 101010.. number``        ``int` `res = ``0``;``    ` `        ``// generate number form of 101010.....``        ``// till temp size``        ``for` `(temp = n; temp > ``0``; temp >>= ``1``) {``    ` `            ``// if bit is even then generate``            ``// number and or with res``            ``if` `(count % ``2` `== ``1``)``                ``res |= (``1` `<< count);``    ` `            ``count++;``        ``}``    ` `        ``// return set even bit number``        ``return` `(n & res);``    ``}` `    ``// set odd bit of number m``    ``static` `int` `setoddbits(``int` `m)``    ``{``        ``int` `count = ``0``;``    ` `        ``// res for store 101010.. number``        ``int` `res = ``0``;``    ` `        ``// generate number form of 101010....``        ``// till temp size``        ``for` `(``int` `temp = m; temp > ``0``; temp >>= ``1``)``        ``{``            ``// if bit is even then generate``            ``// number and or with res``            ``if` `(count % ``2` `== ``0``)``                ``res |= (``1` `<< count);``    ` `            ``count++;``        ``}``    ` `        ``// return set odd bit number``        ``return` `(m & res);``    ``}` `    ``static` `int` `getAlternateBits(``int` `n, ``int` `m)``    ``{``        ``// set even bit of number n``        ``int` `tempn = setevenbits(n);``    ` `        ``// set odd bit of number m``        ``int` `tempm = setoddbits(m);``    ` `        ``// take OR with these number``        ``return` `(tempn | tempm);``    ``}` `    ``// Driver code``    ``public` `static` `void` `main (String[] args)``    ``{``    ` `    ``int` `n = ``10``;``    ``int` `m = ``11``;` `    ``// n = 1 0 1 0``    ``//       ^   ^``    ``// m = 1 0 1 1``    ``//         ^   ^``    ``// result= 1 0 1 1``    ``System.out.println(getAlternateBits(n, m));``    ``}``}` `// This code is contributed by vt_m`

## Python3

 `# Python Program to generate a number using``# alternate bits of two numbers.` `# set even bit of number n``def` `setevenbits(n):``    ``temp ``=` `n``    ``count ``=` `0` `    ``# res for store 101010.. number``    ``res ``=` `0` `    ``# generate number form of 101010.....``    ``# till temp size``    ``while` `temp > ``0``:` `        ``# if bit is even then generate``        ``# number and or with res``        ``if` `count ``%` `2``:``            ``res |``=` `(``1` `<< count)` `        ``count ``+``=` `1``        ``temp >>``=` `1` `    ``# return set even bit number``    ``return` `(n & res)` `# set odd bit of number m``def` `setoddbits(m):``    ``temp ``=` `m``    ``count ``=` `0``    ` `    ``# res for store 101010.. number``    ``res ``=` `0``    ` `    ``# generate number form of 101010....``    ``# till temp size``    ``while` `temp > ``0``:``    ` `        ``# if bit is even then generate``        ``# number and or with res``        ``if` `not` `count ``%` `2``:``            ``res |``=` `(``1` `<< count)``    ` `        ``count ``+``=` `1``        ``temp >>``=` `1``    ` `    ``# return set odd bit number``    ``return` `(m & res)` `def` `getAlternateBits(n, m):``    ``# set even bit of number n``    ``tempn ``=` `setevenbits(n)` `    ``# set odd bit of number m``    ``tempm ``=` `setoddbits(m)` `    ``# take OR with these number``    ``return` `(tempn | tempm)` `# Driver code``n ``=` `10``m ``=` `11` `# n = 1 0 1 0``#     ^ ^``# m = 1 0 1 1``#         ^ ^``# result= 1 0 1 1` `print``(getAlternateBits(n, m))` `# This code is contributed by Ansu Kumari.`

## C#

 `// C# Program to generate a number using``// alternate bits of two numbers.``using` `System;` `class` `GFG {``    ` `    ``// set even bit of number n``    ``static` `int` `setevenbits(``int` `n)``    ``{``    ` `        ``int` `temp = n;``        ``int` `count = 0;``    ` `        ``// res for store 101010.. number``        ``int` `res = 0;``    ` `        ``// generate number form of 101010.....``        ``// till temp size``        ``for` `(temp = n; temp > 0; temp >>= 1) {``    ` `            ``// if bit is even then generate``            ``// number and or with res``            ``if` `(count % 2 == 1)``                ``res |= (1 << count);``    ` `            ``count++;``        ``}``    ` `        ``// return set even bit number``        ``return` `(n & res);``    ``}` `    ``// set odd bit of number m``    ``static` `int` `setoddbits(``int` `m)``    ``{``        ``int` `count = 0;``    ` `        ``// res for store 101010.. number``        ``int` `res = 0;``    ` `        ``// generate number form of 101010....``        ``// till temp size``        ``for` `(``int` `temp = m; temp > 0; temp >>= 1)``        ``{``            ``// if bit is even then generate``            ``// number and or with res``            ``if` `(count % 2 == 0)``                ``res |= (1 << count);``    ` `            ``count++;``        ``}``    ` `        ``// return set odd bit number``        ``return` `(m & res);``    ``}` `    ``static` `int` `getAlternateBits(``int` `n, ``int` `m)``    ``{``        ``// set even bit of number n``        ``int` `tempn = setevenbits(n);``    ` `        ``// set odd bit of number m``        ``int` `tempm = setoddbits(m);``    ` `        ``// take OR with these number``        ``return` `(tempn | tempm);``    ``}` `    ``// Driver code``    ``public` `static` `void` `Main ()``    ``{``    ` `        ``int` `n = 10;``        ``int` `m = 11;``    ` `        ``// n = 1 0 1 0``        ``// ^ ^``        ``// m = 1 0 1 1``        ``//     ^ ^``        ``// result= 1 0 1 1``        ``Console.WriteLine(getAlternateBits(n, m));``    ``}``}` `// This code is contributed by vt_m`

## PHP

 ` 0; ``\$temp` `>>= 1)``    ``{` `        ``// if bit is even then generate``        ``// number and or with res``        ``if` `(``\$count` `% 2 == 1)``            ``\$res` `|= (1 << ``\$count``);` `        ``\$count``++;``    ``}` `    ``// return set even bit number``    ``return` `(``\$n` `& ``\$res``);``}` `// set odd bit of number m``function` `setoddbits(``\$m``)``{``    ``\$count` `= 0;` `    ``// res for store 101010.. number``    ``\$res` `= 0;` `    ``// generate number form of 101010....``    ``// till temp size``    ``for` `(``\$temp` `= ``\$m``; ``\$temp` `> 0; ``\$temp` `>>= 1)``    ``{` `        ``// if bit is even then generate``        ``// number and or with res``        ``if` `(``\$count` `% 2 == 0)``            ``\$res` `|= (1 << ``\$count``);` `        ``\$count``++;``    ``}` `    ``// return set odd bit number``    ``return` `(``\$m` `& ``\$res``);``}` `function` `getAlternateBits(``\$n``, ``\$m``)``{``    ``// set even bit of number n``    ``\$tempn` `= setevenbits(``\$n``);` `    ``// set odd bit of number m``    ``\$tempm` `= setoddbits(``\$m``);` `    ``// take OR with these number``    ``return` `(``\$tempn` `| ``\$tempm``);``}` `// Driver code``\$n` `= 10;``\$m` `= 11;` `// n = 1 0 1 0``// ^ ^``// m = 1 0 1 1``//     ^ ^``// result= 1 0 1 1` `echo` `getAlternateBits(``\$n``, ``\$m``);` `// This code is contributed by mits``?>`

## Javascript

 ``

Output :

`11`

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