Binary Number System: How Computers Represent Numbers in Base 2
Learn the binary number system from scratch. Understand bits, bytes, binary arithmetic, and how computers store integers and negative numbers.
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Tags: developer-tools, number-systems, binary
Binary Number System: How Computers Represent Numbers in Base 2 Every number your computer stores, every instruction it executes, every pixel on your screen — all of it reduces to binary. Not as an abstraction or metaphor, but literally: transistors switching between two voltage states, interpreted as 0 and 1. Understanding binary number system fundamentals makes you a better developer because you stop treating the machine as a black box. This article covers how binary works, how to convert between binary and decimal, how negative numbers are represented, and where you encounter binary in real code. ----|-------| | 2⁰ | 1 | | 2¹ | 2 | | 2² | 4 | | 2³ | 8 | | 2⁴ | 16 | | 2⁷ | 128 | | 2⁸ | 256 | | 2¹⁰ | 1024 | | 2¹⁶ | 65536 | | 2³² | ~4.3 billion | --- Counting in Binary Counting from 0 to…
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