Number Base Converter

Convert numbers between binary, octal, decimal, hexadecimal, and custom bases with our free base converter. Visualize bit patterns, explore how values are represented across numbering systems, and copy results instantly. A must-have tool for developers, students, and anyone working with low-level data.

Features

• Convert between binary (base 2), octal (base 8), decimal (base 10), and hexadecimal (base 16)
• Support for custom bases from 2 to 36
• Interactive bit visualization showing each bit position and its value
• Grouped binary display with configurable nibble and byte separators
• Signed and unsigned integer interpretation
• Real-time conversion as you type in any input field
• Copy any result to clipboard with a single click
• Input validation with clear error messages for invalid digits

How to Use

1. Enter a number in any of the base input fields (binary, octal, decimal, or hex).
2. All other base representations update automatically in real time.
3. To use a custom base, select the desired base from the dropdown and enter your value.
4. Review the bit visualization panel to see the binary layout with labeled bit positions.
5. Toggle between signed and unsigned interpretation if you are working with negative values.
6. Click the copy icon next to any output to place it on your clipboard.

Use Cases

• Embedded Development: Convert between hex and binary when reading hardware registers, memory addresses, or bit-mapped configuration values.
• Networking: Translate IP addresses and subnet masks between decimal and binary to understand subnetting and CIDR notation.
• Computer Science Education: Visualize how decimal numbers map to binary and hexadecimal to build a solid understanding of number systems.
• Color Codes: Convert hex color values to their RGB decimal components or inspect individual color channel bits.
• Debugging: Quickly check bitmask values, flag fields, and permission bits when stepping through code or reviewing logs.

FAQ

What bases are supported beyond the common four?

You can convert to and from any base between 2 and 36. Bases above 10 use letters A through Z to represent digit values 10 through 35, following standard mathematical convention. This is useful for specialized encoding schemes and academic exercises.

How does the bit visualization work?

The bit visualization displays each binary digit in its own cell, labeled with its positional weight (1, 2, 4, 8, 16, and so on). Bits are grouped into nibbles (4 bits) and bytes (8 bits) with visual separators, making it easy to identify specific bit fields at a glance.

Can I convert negative numbers?

Yes. Toggle the signed integer option to interpret and display values using two's complement representation. This shows how negative numbers are stored in memory and lets you convert between signed decimal values and their binary or hexadecimal equivalents.