Number Base Converter

Convert Between Binary, Octal, Decimal, Hexadecimal & More

Number Base Converter is a free online tool for converting numbers between different number systems. Supports binary (base 2), octal (base 8), decimal (base 10), hexadecimal (base 16), and any custom base from 2 to 36. Essential for programmers, computer science students, and mathematics enthusiasts.

How to Use

Using the Number Base Converter is simple:

Step 1: Enter Your Number
Type the number you want to convert and select its current base (2-36).
Step 2: Select Target Base
Choose the base you want to convert to (binary, octal, decimal, hexadecimal, or custom base 2-36).
Step 3: View Results
The converted number will be displayed instantly. You can convert to multiple bases simultaneously.

All conversions are performed locally in your browser. Your data never leaves your computer.

form.converter_title

From Base (2-36)

To Base (2-36)

Enter number to convert

Conversion Results

Practical Use Cases for Number Base Converter

Base conversion is essential in many technical fields:

Programming & Development

Convert between decimal and hexadecimal for color codes, memory addresses, and bitwise operations. Convert to binary for understanding bit manipulation and flags.

Networking & IP Addresses

Convert IP addresses and subnet masks between decimal and binary for network calculations and subnet planning.

Computer Science Education

Learn and understand different number systems, practice conversions, and solve computer science assignments involving multiple bases.

Debugging & Analysis

Convert hexadecimal memory dumps to decimal or binary for analysis. Interpret assembly language addresses and constants.

Data Representation

Understand how computers store numbers internally by converting between bases. Useful for low-level programming and hardware interfacing.

Understanding Number Bases

A number base (or radix) is the number of unique digits used to represent numbers in a positional numeral system. Decimal uses 10 digits (0-9), binary uses 2 (0-1), octal uses 8 (0-7), and hexadecimal uses 16 (0-9, A-F).

Common Number Systems

Binary (base 2) is fundamental to computers, using only 0 and 1. Octal (base 8) was popular in older computing. Decimal (base 10) is what we use daily. Hexadecimal (base 16) is widely used in programming for its compact representation of binary data.

How Conversion Works

To convert from any base to decimal, multiply each digit by the base raised to its position power. To convert from decimal to another base, repeatedly divide by the target base and collect remainders. This tool handles all conversions automatically.

Bases 2-36 Explained

For bases larger than 10, letters are used: A=10, B=11, ..., Z=35. This allows representation of bases up to 36. While uncommon, custom bases can be useful in specialized applications like compact encoding schemes.

Frequently Asked Questions

What number bases are supported?

All bases from 2 to 36. This includes binary (2), octal (8), decimal (10), hexadecimal (16), and any custom base in between or up to 36.

Why is the maximum base 36?

Base 36 uses digits 0-9 and letters A-Z, giving exactly 36 unique symbols. This is the maximum using standard alphanumeric characters.

How do I enter hexadecimal numbers?

For hexadecimal, use digits 0-9 and letters A-F. For example: FF, 1A3B, DEADBEEF. Letter case doesn't matter (a-f and A-F both work).

Can I convert negative numbers?

This tool focuses on positive integers and whole numbers. For negative numbers, convert the absolute value and add the negative sign to the result.

What's the largest number I can convert?

The tool supports very large numbers, limited only by your browser's JavaScript number handling (typically up to 2^53-1 for integers).

Is my data safe?

Yes, absolutely. All conversions are performed in your browser using JavaScript. Your data never leaves your computer.

Why use different number bases?

Different bases are optimal for different purposes. Binary is how computers work internally, hexadecimal is compact for representing binary data, and decimal is natural for humans. Each has its advantages.

Is this tool free?

Yes, this tool is completely free to use with no registration or limits.