JavaScript/Bit-Manipulation/GrayCodes.js at master · TheAlgorithms/JavaScript · GitHub

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/**

* Generates a Gray code sequence for the given number of bits.

* @param {number} n - The number of bits in the Gray code sequence.

* @returns {number[]} - An array of Gray codes in binary format.

* @description

* Gray codes are binary sequences in which two successive values differ in only one bit.

* This function generates a Gray code sequence of length 2^n for the given number of bits.

* The algorithm follows these steps:

* 1. Initialize an array `grayCodes` to store the Gray codes. Start with [0, 1] for n = 1.

* 2. Iterate from 1 to n:

* a. Calculate `highestBit` as 2^i, where `i` is the current iteration index.

* b. Iterate in reverse order through the existing Gray codes:

* - For each Gray code `code`, add `highestBit | code` to `grayCodes`.

* - This operation flips a single bit in each existing code, creating new codes.

* 3. Return the `grayCodes` array containing the Gray codes in decimal representation.

*resources: [GFG](https://www.geeksforgeeks.org/generate-n-bit-gray-codes/)

* @example

* const n = 3;

* const grayCodes = generateGrayCodes(n);

* // grayCodes will be [0, 1, 3, 2, 6, 7, 5, 4] for n=3.

function generateGrayCodes(n) {

if (n <= 0) {

return [0]

}

const grayCodes = [0, 1]

for (let i = 1; i < n; i++) {

const highestBit = 1 << i

for (let j = grayCodes.length - 1; j >= 0; j--) {

grayCodes.push(highestBit | grayCodes[j])

}

return grayCodes

}

export { generateGrayCodes }

JavaScript/Bit-Manipulation/GrayCodes.js at master · TheAlgorithms/JavaScript · GitHub

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JavaScript/Bit-Manipulation/GrayCodes.js at master · TheAlgorithms/JavaScript · GitHub

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