{ ILoveJS }

Number Base Converter

Convert numbers between binary, octal, decimal and hexadecimal.

numberbinaryhexoctalconvert

What is Number Base Converter?

The Number Base Converter is a fast, browser-based tool that lets you convert any integer between the four most common numeral systems: binary (base 2), octal (base 8), decimal (base 10), and hexadecimal (base 16). Enter a value in any base and instantly see its equivalent representation in all others — no manual arithmetic, no lookup tables, no mistakes.

For developers, understanding and translating between number bases is a daily reality. Whether you are reading memory addresses in a debugger, setting file permissions on a Unix system, defining color values in CSS, or interpreting bitfield flags in an embedded system, you constantly need to move between representations. This tool eliminates the mental overhead and reduces the risk of transcription errors, letting you stay focused on your actual problem.

How to Use

Using the converter is straightforward: type or paste a number into any of the four input fields — binary, octal, decimal, or hexadecimal — and all other fields update in real time. There is no submit button to click; conversion happens as you type. Binary input accepts only 0s and 1s, octal accepts digits 0–7, decimal accepts standard integers, and hexadecimal accepts digits 0–9 and letters A–F (case-insensitive).

The tool handles both positive integers and zero. For hexadecimal output, letters are rendered in uppercase by convention, which is standard in most technical contexts such as color codes and memory addresses. Negative numbers and floating-point values are outside the scope of this tool — it is designed specifically for non-negative whole number conversions, which covers the vast majority of real-world base-conversion needs.

Edge cases to be aware of: leading zeros in your input are ignored to avoid ambiguity (for example, entering '010' in the decimal field is treated as 10, not octal 10). Very large numbers are supported up to the safe integer limit of JavaScript, so values up to 2^53 − 1 convert accurately without precision loss.

Use Cases

Debugging memory addresses: When stepping through a debugger or reading a crash dump, memory addresses are typically shown in hexadecimal. Paste the hex address into the converter to instantly see its decimal equivalent, making it easier to calculate offsets or compare with decimal constants in your source code.
Unix file permissions: Linux and macOS file permissions are often expressed in octal (e.g., chmod 755). Use the converter to translate between octal permission values and their binary representation to visualise exactly which read, write, and execute bits are set for owner, group, and others.
Bitfield and flag manipulation: Embedded and systems developers frequently work with bitmasks defined in binary or hex. Enter a hex flag value to see its binary breakdown, making it simple to verify which specific bits are enabled in a register or configuration byte.
CSS and design color values: Hex color codes like #1A2B3C are fundamental in web development. Convert individual R, G, or B channel values between hex and decimal to cross-reference design tokens, validate color math, or understand the raw intensity values your CSS is applying.

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