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February 21, 2026Developer
Understanding Binary and Hexadecimal in Computing
A comprehensive guide to number systems. Learn how computers store data and how to convert between binary, decimal, and hex.
Why Do Computers Use Binary?
At their core, computers are made of billions of tiny switches called transistors. These switches can only be in two states: On (1) or Off (0). This is why the binary system (Base-2) is the fundamental language of computing.
The Role of Hexadecimal
While binary is great for machines, it's hard for humans to read. A single 32-bit number in binary is a long string of 32 zeros and ones. Hexadecimal (Base-16) simplifies this by representing every 4 bits of binary with a single character (0-9 and A-F). This makes memory addresses and color codes much easier to work with.
Common Number Systems
- Binary (Base-2): Uses 0 and 1. Used by processor logic.
- Octal (Base-8): Uses 0-7. Less common today but used in Unix file permissions.
- Decimal (Base-10): Uses 0-9. The standard system for human counting.
- Hexadecimal (Base-16): Uses 0-9 and A-F. Used for colors (CSS), memory addresses, and MAC addresses.