Convert a number from one base to another. Supports binary, octal, decimal, hexadecimal, etc.
The Easy Converters Base Converter is a powerful tool that helps you convert numbers between different numeral systems — including **Binary (Base 2)**, **Decimal (Base 10)**, **Octal (Base 8)**, and **Hexadecimal (Base 16)**. Whether you're a programmer working with bit-level data, a student learning computer science, or a hobbyist tinkering with Arduino, this tool gives you fast and accurate base conversions in real-time.
A **number base** (also called radix) defines the number of unique digits, including zero, used to represent numbers in a positional numeral system. The most common bases include:
Each base is important in various applications ranging from data encoding to low-level hardware programming.
Decimal to Any Base:
Any Base to Decimal:
| Decimal | Binary | Octal | Hexadecimal |
|---|---|---|---|
| 10 | 1010 | 12 | A |
| 15 | 1111 | 17 | F |
| 255 | 11111111 | 377 | FF |
| 64 | 1000000 | 100 | 40 |
parseInt("FF", 16) → 255 (Hex to Decimal)Number.toString(2) → Convert to BinaryNumber.toString(8) → Convert to OctalNumber.toString(16) → Convert to HexThese functions are available in JavaScript, Python, C++, and many modern languages.
No data is sent to servers. All your conversions are handled directly in your browser for speed and privacy. We use accessible HTML and ARIA labels for screen reader compatibility.
Q: What is the base of a number?
A: A base refers to the number of unique digits used to represent values. For example, base 2 uses 0 and 1; base 10 uses digits 0 to 9.
Q: Can I convert negative numbers?
A: Yes. The Easy Converters Base Converter supports signed values and two’s complement where necessary.
Q: Is there a limit on how big the number can be?
A: You can convert very large numbers thanks to JavaScript’s BigInt support. However, browser limits may apply in some older devices.
Q: How accurate are the conversions?
A: All results are mathematically precise and formatted clearly for copy-paste or programming use.
Base conversion is essential in computing and mathematics. Whether you're programming a microcontroller, designing a webpage, or debugging an algorithm, being able to convert between binary, decimal, octal, and hexadecimal is crucial.
The Easy Converters Base Converter offers a fast, intuitive, and accurate way to perform these conversions. No fluff, no login — just results. Try it now and take control of your number systems!
While our Base Converter makes it instant and effortless, it's still helpful to understand how manual conversion works. Here's a breakdown:
Example: 13 → 1101
Example: 1101 → 1×8 + 1×4 + 0×2 + 1×1 = 13
Example: A3 → (10×16) + 3 = 160 + 3 = 163
Example: 163 ÷ 16 = 10 remainder 3 → A3
Hexadecimal is especially common in computing due to its compact representation of binary values. One hex digit equals four binary digits (bits). For example:
Hex: A = Binary: 1010
A byte (8 bits) can be represented as two hex digits. For example:
Binary: 11111111 → Hex: FF
That’s why you’ll often see memory addresses and color values written in hex.
Hexadecimal is used extensively in CSS to define colors. For instance:
#FF0000 = Red#00FF00 = Green#0000FF = BlueEach pair (FF, 00, etc.) is a hex representation of an RGB color channel ranging from 0 to 255.
Many file formats use base conversions. Examples:
Microcontrollers and digital circuits operate in binary. Hex and octal are shorthand notations to simplify working with large binary numbers.
For example, instead of writing 16-bit binary:
1101011101101111
Engineers write:
D76F (Hexadecimal)
Base conversion is often used in:
Understanding how number systems work is a foundational concept in computer science and mathematics. Topics such as logic gates, machine code, data structures, and memory addressing are built on binary and hexadecimal logic.
Students preparing for exams like:
benefit significantly from practicing base conversions.
Our Base Converter tool is built with performance in mind. We use JavaScript’s native parsing and number conversion methods for speed and reliability.
Whether you're converting one value or thousands, you get accurate results instantly — even for large numbers or real-time scripts.
This tool is useful for students, developers, and professionals across many fields. Bookmark this page or share it with your peers and team for quick access to hassle-free base conversions.
Base conversion is more than a math trick — it’s a foundational concept in computer science, engineering, and digital logic. Whether you need it for coding, debugging, studying, or design, the Easy Converters Base Converter offers a clean, accurate, and instant way to switch between number systems.
Try it now and take the complexity out of base conversion!