Math Fundamentals18 sections · 814 units
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Lessons from Number Bases

summary

You now understand that all number systems work the same way: each position is a power of the base, and you sum those powers to get the value.

1.1. Binary (base-2) is how computers represent data.

2.2. Hex (base-16) compresses binary for readability.

3.3. Powers of 2 appear everywhere in algorithm analysis.

4.4. Bitwise operations are fast, low-level tools.

5.5. Two's complement handles negative numbers without special cases.

These concepts underlie memory addressing, data structures like bitmasks, and optimization techniques. When you see a hex address or a binary flag in production code, you will know exactly what it means.