Why 0.1 + 0.2 ≠ 0.3 in Computers (Floating-Point Explained)

Why does `0.1 + 0.2` sometimes produce `0.30000000000000004` instead of `0.3`? It looks like a simple arithmetic mistake, but the real reason lies in how computers represent numbers. In this video, we build the explanation from the ground up: Why computers use binary instead of decimal. Why fractions like `0.1` cannot be represented exactly in binary. How limited precision creates rounding errors. Why adding two approximations can produce a surprising result. How floating-point rounding works and when exact equality can fail. No advanced mathematics required. Just one small example that reveals a fundamental idea in computer science. #Programming #ComputerScience #FloatingPoint