単位換算
Base Converter - Online Tool
Effortlessly convert numbers between bases like binary, decimal, hexadecimal, and more. Our online base converter tool is fast, accurate, and easy to use for students, programmers, and anyone working with different number systems.
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What is a Number Base (Radix)?
A number base or radix is the number of unique digits (including zero) used to represent numbers in a positional numeral system. The most common system is the decimal system (base 10), which uses ten digits from 0 to 9.
In computing and digital systems, other bases are widely used:
- Binary (Base 2): Uses only 0 and 1. It is the fundamental language of computer processors.
- Octal (Base 8): Uses digits 0 to 7. Often used in Unix file permissions.
- Hexadecimal (Base 16): Uses digits 0 to 9 and letters A to F. It provides a human-friendly shortcut for representing binary data (each hex digit represents exactly 4 bits).
- Custom Bases (2 to 36): Any system using digits 0 to 9 and letters A to Z (for values up to 35).
Expert Tips for Maximum Accuracy
- Bases are also called radixes. Base 2 is binary, base 8 is octal, base 10 is decimal, and base 16 is hexadecimal.
- Digits above 9 are represented by letters (e.g., A=10, B=11, ..., Z=35). This convention supports bases up to 36.
- When converting fractional numbers (like 0.1), some fractions that terminate in one base may repeat infinitely in another (e.g., 0.1 in decimal is 0.0001100110011... in binary).
Frequently Asked Questions
What is a number base?
A base (or radix) is the number of unique digits, including zero, that a system uses to represent numbers.
How do you represent values greater than 9 in bases larger than 10?
In bases greater than 10, letters from the Latin alphabet are used. A represents 10, B represents 11, C represents 12, up to Z which represents 35 in base 36.
Can the base converter handle decimal points?
Yes, this converter supports fractional parts (numbers with decimal points) for all bases between 2 and 36, showing how the fractional math converts.