🔢Number Base Converter
Positional number systems use a base (radix). Base 10 (decimal): 0–9; Base 2 (binary): 0–1; Base 16 (hexadecimal): 0–9 and A–F. Computers operate in binary; hex is shorthand for binary in programming.
- 1To decimal: digit × base^position, summed
- 2From decimal: repeatedly divide by base, collect remainders
- 3Each hex digit = exactly 4 binary bits
Binary 11111111=Decimal 255 · Hex FF · Octal 377255 = 2⁸ − 1
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Fun Fact
Computers use binary because electronics only need two states: on/off — far simpler to engineer than the 10 states needed for decimal.
References
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