The ultimate guide to bit manipulation for coding interviews. Developed by FAANG engineers, practice with real-world interview questions, and get interview-ready in just a few hours.

This course teaches bit manipulation, a powerful technique to enhance algorithmic and problem-solving skills. It is a critical topic for those preparing for coding interviews for top tech companies, startups and industry leaders. Competitive programmers can take full advantage of this course by running most of the bit-related problems in O(1) complexity.

The course will begin by educating you about the number system and its representation, decimal and binary, followed by the six bitwise operators: AND, OR, NOT, XOR, and bit-shifting (left, right).

You will receive ample practical experience working through practice problems to improve your comprehension.

Upon completing this course, you will be able to solve problems with greater efficiency and speed.

Grokking Bit Manipulation for Coding Interviews

# What is shifting?

A bit shift is a Bitwise operation where the order of a series of bits is moved, either to the left or right, to efficiently perform a mathematical operation.

A bit shift moves each digit in a number's binary representation left or right. The bit-shifting operators do precisely what their name implies: they shift bits. Here is a brief introduction to the different shift operators.

# Types

There are three main types of shifts:


1. **Left shift**:  `<<` is the left shift operator and meets both logical and arithmetic shifts' needs.
2. **Arithmetic/signed right shift**: `>>` is the arithmetic (or signed) right shift operator.
3. **Logical/unsigned right shift**: `>>>` is the logical (or unsigned) right shift operator.

We learned the most common Bitwise operations so far. Now, we are about to learn shifting, which is a common operation we use when we divide/multiply a number by 2.

Getting Started

Number Systems, Bitwise, and Binary

Bitwise AND

Bitwise OR

Bitwise NOT

Bitwise XOR

Bit Shifting - Left, Right

Bitwise LeftShift Problems

Bitwise RightShift Problems

Final Thoughts

Introduction to Bit Shifting

What is shifting?