Algorithm Atlas

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Learn Bit Manipulation with visual DSA lessons

Learn Bit Manipulation with 3 DSA patterns and 16 visual lessons. Follow step-by-step animations and synced C#, Python, and Java code.

Bit manipulation works directly with zero and one switches.

Basic Bit Operations

Use AND, OR, XOR and shifts to work with binary digits.

Missing Number Easy · Read binary switches
Number of 1 Bits / Hamming Weight Easy · Read binary switches
Alternating Bits Easy · Read binary switches
Check kth bit is set or not Easy · Read binary switches
Power of Two Easy · Read binary switches
Single Number Easy · Read binary switches
Unique Numbers 2 Medium · Read binary switches
Single Number II Medium · Read binary switches
Single Number III Medium · Read binary switches

Subsets / Bitmask

Use one binary mask to describe one subset.

Subsets Medium · Read binary switches
Subsets II Medium · Read binary switches
Partition to K Equal Sum Subsets Medium · Read binary switches

Advanced XOR

Use XOR cancellation and opposite-bit choices.

Sum of Subset XOR Totals Easy · Read binary switches
Maximum XOR of Two Numbers in Array Medium · Read binary switches
Subarray XOR Queries / K-th XOR Medium · Read binary switches
Maximum XOR With an Element From Array Hard · Read binary switches