---
id: binary
title: Binary
toc_max_heading_level: 2
---

## Introduction

Knowledge of binary number system and bit manipulation is less important in coding interviews as most Software Engineers do not have to deal with bits, which is more commonly used when dealing with lower level systems and programming languages. They are still asked sometimes, so you should at least still know how to convert a number from decimal form into binary form, and vice versa, in your chosen programming language.

## Learning resources

- Readings
  - [Bits, Bytes, Building With Binary](https://medium.com/basecs/bits-bytes-building-with-binary-13cb4289aafa), basecs
  - [Bitwise operation](https://en.wikipedia.org/wiki/Bitwise_operation), Wikipedia
- Videos
  - [Algorithms: Bit Manipulation](https://www.youtube.com/watch?v=NLKQEOgBAnw), HackerRank
- Practice
  - [Practice with bit operations](https://pconrad.github.io/old_pconrad_cs16/topics/bitOps/)

## Corner cases

- Be aware and check for overflow/underflow
- Negative numbers

## Techniques

Questions involving binary representations and bitwise operations are asked sometimes and you must be absolutely familiar with how to convert a number from decimal form into binary form (and vice versa) in your chosen programming language.

Some helpful utility snippets:

| Technique | Code |
| --- | --- |
| Test k<sup>th</sup> bit is set | `num & (1 << k) != 0`. |
| Set k<sup>th</sup> bit | <code>num &#124;= (1 << k)</code> |
| Turn off k<sup>th</sup> bit | `num &= ~(1 << k)`. |
| Toggle the k<sup>th</sup> bit | `num ^= (1 << k)`. |
| Multiple by 2<sup>k</sup> | `num << k` |
| Divide by 2<sup>k</sup> | `num >> k` |
| Check if a number is a power of 2 | `(num & num - 1) == 0` or `(num & (-num)) == num` |
| Swapping two variables | `num1 ^= num2; num2 ^= num1; num1 ^= num2` |

## Recommended questions

- [Sum of Two Integers](https://leetcode.com/problems/sum-of-two-integers/)
- [Number of 1 Bits](https://leetcode.com/problems/number-of-1-bits/)
- [Counting Bits](https://leetcode.com/problems/counting-bits/)
- [Missing Number](https://leetcode.com/problems/missing-number/)
- [Reverse Bits](https://leetcode.com/problems/reverse-bits/)
- [Single Number](https://leetcode.com/problems/single-number/)

## Recommended courses

import AlgorithmCourses from '../\_courses/AlgorithmCourses.md'

<AlgorithmCourses />