HACKING LOGIC & MATHEMATICS

Exploring the intersection of code, reasoning, and numbers

"The world hides its secrets behind patterns. The patient mind will always uncover them."
"A sharp mind is not built by comfort, but by constant curiosity."
"Your thoughts shape your reality; optimize them like code."

Binary Logic

Binary is the foundation of all computing systems. Understanding how 1s and 0s create complex logic is essential for any hacker.

"The strongest encryption is hope. No darkness can decrypt it."
> Analyzing binary patterns...
> 01001000 01100001 01100011 01101011 01101001 01101110 01100111
>

Cryptography

Mathematics forms the basis of modern encryption. From RSA to elliptic curves, math keeps our data secure.

"Knowledge is infinite, just like numbers — but wisdom is choosing which numbers matter."
C = Me mod n

Try the Caesar cipher:

Algorithm Complexity

Understanding Big O notation helps hackers optimize code and identify vulnerabilities in systems.

"Every failure is just a corrupted file — rewrite it, don't keep it."
> O(1) - Constant time
> O(log n) - Logarithmic time
> O(n) - Linear time
> O(n²) - Quadratic time
> O(2ⁿ) - Exponential time
"You don't need superpowers. You need clarity, discipline, and the courage to question everything."

Logic Puzzle

Solve this mathematical puzzle to test your logical reasoning:

If A ⊕ B = C and B ⊕ C = A, then A ⊕ C = ?