ToolsCafe.net

Number Base Converter

Convert numbers between binary, octal, decimal, hexadecimal, and any custom base from 2 to 36 with support for large integers and fractional values.

How to Use

  1. 1

    Select the input base using the quick-access buttons for binary, octal, decimal, or hexadecimal, or type a custom base from 2 to 36.

  2. 2

    Enter the number you want to convert in the input field using valid digits for the selected base.

  3. 3

    View the converted values displayed simultaneously in binary, octal, decimal, hexadecimal, and any custom output base.

  4. 4

    Click the copy button next to any output value to copy it to your clipboard.

  5. 5

    For fractional conversions, include a decimal point in your input and adjust the precision setting as needed.

  6. 6

    Use the swap button to quickly reverse the input and output bases for bidirectional conversion.

Frequently Asked Questions

About Number Base Converter

What is Number Base Converter?

The Number Base Converter is a specialized tool for converting numbers between different numeral systems, also known as radix or base systems. It supports all common bases — binary (base 2), octal (base 8), decimal (base 10), and hexadecimal (base 16) — as well as any arbitrary base from 2 to 36. When you enter a number in one base, the tool simultaneously displays its equivalent in all four standard bases and optionally in a custom base you specify. It handles both whole numbers and fractional values, and supports very large integers that exceed the capacity of standard calculator apps. This makes it an essential tool for computer science students learning about data representation, software developers debugging low-level code, network engineers working with IP addresses and subnet masks, digital electronics enthusiasts interpreting register values, and anyone who needs to translate between numbering systems quickly and reliably.

Why Use Number Base Converter?

Number base conversions are fundamental in computing and digital systems, but performing them manually is tedious and error-prone, especially for large numbers or unfamiliar bases. Converting a 32-bit binary string to hexadecimal by hand requires grouping bits into nibbles and mapping each group — a process that is slow and easy to botch. Converting between non-standard bases like base 5 or base 12 is even harder without a dedicated tool. Most calculator apps only handle the four standard bases, and many online converters fail on large numbers or do not support fractional parts. This tool addresses all those gaps. It is built to handle arbitrarily large integers using precise arithmetic, supports fractional base conversion to a configurable number of digits, and lets you work with any base from 2 to 36. For developers, it speeds up debugging by converting memory addresses, color codes, file permissions, and network masks between formats. For students, it serves as both a homework aid and a learning tool because you can see how the same value looks across multiple bases simultaneously.

How to Use

Select the input base using the base selector — quick buttons are provided for binary, octal, decimal, and hexadecimal, or you can type a custom base between 2 and 36. Enter your number in the input field using the appropriate digits for that base. For hexadecimal, use digits 0-9 and letters A-F; for bases above 10, letters represent values 10 and above. As you type, the output panel instantly shows the equivalent number in binary, octal, decimal, hexadecimal, and your custom base if one is set. For fractional numbers, include a decimal point in the input and specify how many digits of precision you want in the output. The tool validates your input against the selected base and alerts you if you enter an invalid digit, preventing errors. You can copy any output value to the clipboard with a single click for use in code, documentation, or further calculations.

Example Usage

A web developer is working with a CSS color code #1A3F5C and needs the RGB decimal values. Entering 1A in hexadecimal converts to 26 in decimal, 3F converts to 63, and 5C converts to 92, giving RGB(26, 63, 92). A computer science student studying binary arithmetic needs to convert the decimal number 255 to binary and sees 11111111, confirming it is the maximum value of an 8-bit unsigned integer. A Linux administrator checking file permissions sees the octal value 755 and converts it to binary — 111 101 101 — to verify the read, write, and execute bits for owner, group, and others. A network engineer converts the subnet mask 255.255.255.0 by entering 255 in decimal to get FF in hexadecimal, confirming the /24 CIDR notation. A competitive programmer debugging an algorithm converts a large decimal result to base 16 to compare with expected hexadecimal output.

Benefits

Simultaneous multi-base output is the key advantage — you see binary, octal, decimal, and hexadecimal at once without switching modes. Support for custom bases from 2 to 36 covers niche use cases that most converters ignore. Large-integer support means you can convert 64-bit and even 128-bit values without overflow or precision loss, which is critical for cryptographic and networking applications. Input validation prevents nonsensical conversions by alerting you immediately if a digit is invalid for the selected base. The one-click copy feature streamlines workflows where you need to paste converted values into code editors, terminal commands, or documents. The tool runs entirely in the browser with no server calls, so it works offline and keeps your data private.

Related Tools