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Why do computers use binary?

Computers use the binary (base-2) number system because their fundamental building block — the transistor — is a switch that can be in exactly two states: on (1) or off (0). A modern CPU contains billions of transistors switching billions of times per second. Representing data in binary aligns perfectly with this physical reality: a charged capacitor represents 1, uncharged represents 0; high voltage represents 1, low voltage represents 0. Boolean algebra — developed by George Boole in the 1840s, long before computers — provides the mathematical framework for performing logical operations (AND, OR, NOT, XOR) on binary values, which is exactly what transistors implement in hardware.

The ASCII table: mapping text to binary

The ASCII (American Standard Code for Information Interchange) table, standardised in 1963, assigns a unique 7-bit binary code to 128 characters: uppercase letters (A=65=1000001), lowercase letters (a=97=1100001), digits (0=48=110000), punctuation and control characters. Our converter shows the binary (8-bit), hexadecimal and decimal ASCII representations for every character simultaneously. Extended ASCII and Unicode (UTF-8) extended this to cover all 144,697 characters in 154 scripts. Pair with our Morse Code Translator for another historic binary encoding system, and our HEX-RGB Converter to see binary in colour context.

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