# JavaScript - Parity of a given number

## JavaScript Bit Manipulation: Exercise-13 with Solution

Write a JavaScript program to calculate and find the parity of a given number.

In mathematics, parity is the property of an integer of whether it is even or odd. In binary numbers, parity refers to the total number of 1s. The odd parity(1) represents an odd number of 1s, whereas the even parity(0) represents an even number of 1s.
In information theory, a parity bit appended to a binary number provides the simplest form of error detecting code. If a single bit in the resulting value is changed, then it will no longer have the correct parity: changing a bit in the original number gives it a different parity than the recorded one, and changing the parity bit while not changing the number it was derived from again produces an incorrect result. In this way, all single-bit transmission errors may be reliably detected. Some more sophisticated error detecting codes are also based on the use of multiple parity bits for subsets of the bits of the original encoded value.

Test Data:
(34) -> "Parity of 34 is even."
"34 in binary is 100010" // Even number of 1s
(104) -> "Parity of 104 is odd."
"104 in binary is 1101000" // Odd number of 1s

Sample Solution:

JavaScript Code:

``````// Define a function to determine the parity (even or odd) of a number
const parity_even_odd = (n) => {
let parity = false; // Initialize parity as false (even)
let temp = n; // Store the original value of n in a temporary variable
while (n != 0) {
// Check if the least significant bit (LSB) of n is 1
if ((n & 1) !== 0) {
parity = !parity; // Flip the parity if LSB is 1
}
n = n >> 1; // Right shift n by 1 bit
}
// Return a message indicating whether the parity is even or odd
if (parity) {
return "Parity of " + temp + " is odd.";
} else {
return "Parity of " + temp + " is even.";
}
}

// Initialize variable n with a value
let n = 34;

// Display the binary representation of n
console.log(n + " in binary is " + n.toString(2));

// Call the parity_even_odd function to determine the parity of n
console.log(parity_even_odd(n));

// Update variable n with a new value
n = 104;

// Display the binary representation of n
console.log(n + " in binary is " + n.toString(2));

// Call the parity_even_odd function to determine the parity of n
console.log(parity_even_odd(n));
```
```

Output:

```34 in binary is 100010
Parity of 34 is even.
104 in binary is 1101000
Parity of 104 is odd.
```

Flowchart:

Live Demo:

See the Pen javascript-bit-manipulation-exercise-12 by w3resource (@w3resource) on CodePen.

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