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.

What You’ll Learn

• Master problem-solving that involves bit manipulation.
• Master the bit manipulation, which allows you to organize all inputs in binary representation at the memory levels.
• Master how the bit-level operations are computed. Understand that bit-level operations are based on all the arithmetic operations built into all languages.
• Solve problems that are commonly asked in coding interviews related to bit manipulation.
• These bit tricks help in competitive programming in running algorithms mostly in O(1) time.
• Solutions are available in 5 different languages.

Course Content

1.Getting Started

Get familiar with the basics and importance of bit manipulation for coding interviews.

• Introduction to Bit Manipulation
• What is Bit Manipulation?

2.Number Systems, Bitwise, and Binary

Get started with understanding number systems, bitwise operations, and binary conversions.

• Introduction to Number Systems
• Decimal Number System
• Binary Number System and Its Representation
• What Are Bitwise Operators?
• Count the Number of Digits in an Integer
• Convert Decimal Number to Binary Number

3.Bitwise AND

Examine the functionalities and efficient techniques of the Bitwise AND operator.

• Introduction to AND
• Bitwise AND, Computations, and Examples
• Challenge 1: Count Set Bits
• Solution Review: Count Set Bits
• Counting Bits II
• Challenge 2: Check If Number Is Even/Odd
• Solution Review: Check If Number Is Even/Odd
• Challenge 3: Power of 2
• Solution Review: Power of 2

4.Bitwise OR

Grasp the fundamentals of the Bitwise OR operator, computations, and bit manipulation techniques.

• Introduction to OR Operator
• Bitwise OR, Computations, and Examples
• Number Of Flips Required To Make a|b Equal to c

5.Bitwise NOT

Explore the Bitwise NOT operator, its role in computations, and switching number signs.

• Introduction to NOT
• Bitwise NOT, Computations, and Examples
• Switch Sign of a Number

6.Bitwise XOR

Investigate the XOR operator’s applications in swapping, detecting opposite signs, and problem-solving.

• Introduction to XOR
• Bitwise XOR, Computations, and Examples
• Swap Two Numbers
• Find Odd Occurring Element
• Detect If Two Integers Have Opposite Signs
• Hamming Distance
• Challenge 1: Single Number
• Solution Review: Single Number
• Challenge 2: Missing Number
• Solution Review: Missing Number

7.Bit Shifting – Left, Right

Build on bit shifting techniques, leveraging left, arithmetic, and logical right shifts for optimal computations.

• Introduction to Bit Shifting
• Left Shifts
• Arithmetic and Logical Right Shifts

8.Bitwise LeftShift Problems

Try out left-shift problems to find bit lengths, check k-th bits, and generate subsets.

• Find Bit Length of a Number
• Check If Kth Bit Is Set/Unset
• Subsets / Powerset
• Challenge 1: Get First Set Bit Position
• Solution Review: Get First Set Bit Position

9.Bitwise RightShift Problems

Unpack the core of bitwise right shift operations to check and locate set bits.

• Check If Kth Bit Is Set/Unset
• Challenge 1: Get First Set Bit Position
• Solution Review: Get First Set Bit Position

10.Final Thoughts

Lay out a solution for applying bit-level operations in coding challenges and tech interviews.

• Conclusion