---
id: 5900f4b01000cf542c50ffc2
challengeType: 5
title: 'Problem 323: Bitwise-OR operations on random integers'
forumTopicId: 301980
---

## Description
<section id='description'>
Let y0, y1, y2,... be a sequence of random unsigned 32 bit integers
(i.e. 0 ≤ yi < 232, every value equally likely).
For the sequence xi the following recursion is given:x0 = 0 and
xi = xi-1| yi-1, for i > 0. ( | is the bitwise-OR operator)
It can be seen that eventually there will be an index N such that xi = 232 -1 (a bit-pattern of all ones) for all i ≥ N.

Find the expected value of N.
Give your answer rounded to 10 digits after the decimal point.
</section>

## Instructions
<section id='instructions'>

</section>

## Tests
<section id='tests'>

```yml
tests:
  - text: <code>euler323()</code> should return 6.3551758451.
    testString: assert.strictEqual(euler323(), 6.3551758451);

```

</section>

## Challenge Seed
<section id='challengeSeed'>

<div id='js-seed'>

```js
function euler323() {
  // Good luck!
  return true;
}

euler323();
```

</div>



</section>

## Solution
<section id='solution'>

```js
// solution required
```

</section>