Skip to main content
Advanced~2h

Bit Manipulation in Data Structures & AlgorithmsInterview Readiness Check

XOR tricks, bitmasks, counting bits — power of 2, single number, counting bits.

XORbitmaskAND OR NOTleft shiftsingle numberpower of twocounting bits

Learning path

Arrays & Hashing→Bit Manipulation ← you are here

Try a sample question

Find the single number in an array where every element appears twice except one (e.g. [2,2,1,3,3] → 1). Which bit trick solves this in O(n) time, O(1) space?

A.Sort the array and scan for the element without a pair
B.Use a HashSet: add elements not in set, remove elements already in set
C.XOR all elements: a XOR a = 0, a XOR 0 = a. All pairs cancel to 0; the single number remains.
D.Sum all elements, subtract sum of unique elements × 2

Sign up free to take the full check and see the answer with an explanation.

What this module tests

  • Conceptual understanding of bit manipulation fundamentals
  • Trade-offs and design decisions in real system scenarios
  • XOR and bitmask — applied knowledge
  • Interview-style reasoning and explanation quality

Free to start

Take the Bit Manipulation check →

10 questions · Dimension scoring · AI coach feedback · Shareable result

Test your knowledge — free →

No credit card · Takes 10–15 min

Frequently asked questions

What does the Bit Manipulation check test?
The check covers xor tricks, bitmasks, counting bits — power of 2, single number, counting bits. Questions span beginner to advanced difficulty and test both conceptual understanding and practical trade-off reasoning.
What keywords should I know for Bit Manipulation?
Key concepts include: XOR, bitmask, AND OR NOT, left shift, single number, power of two, counting bits. These frequently appear in data structures & algorithms interviews at product and infrastructure companies.
How many questions are in the check?
Each check has 10 questions — a mix of MCQ and short-answer. You get scored by dimension (e.g., scalability, consistency) so you know exactly where to focus.
How long does it take to study Bit Manipulation?
Most engineers spend around 2 hours on this module. The check itself takes about 10–15 minutes. You can retake it up to 3 times per day.
What prerequisite knowledge do I need before Bit Manipulation?
Bit Manipulation builds on Arrays & Hashing. Complete those first for the best results.
Is XOR, bitmask, AND OR NOT covered?
Yes. The Bit Manipulation module covers XOR, bitmask, AND OR NOT among other key concepts. The check includes questions that reflect real data structures & algorithms interview patterns.