Free Number Base Converter — Binary, Decimal, Hex & Octal

Decimal (Base 10):

Binary (Base 2):

Hexadecimal (Base 16):

Octal (Base 8):

Number Base Converter Guide & Technical Overview

What This Tool Does

The Number Base Converter performs real-time arithmetic conversions between the four primary computer numeral systems: Binary (Base 2), Octal (Base 8), Decimal (Base 10), and Hexadecimal (Base 16). Entering a value into any format instantly updates all other base representations with active character validation.

How to Use

Select the input base (Decimal, Binary, Octal, or Hexadecimal) or type directly into any input field.
Input the number using valid digits for that numeral system.
Inspect the instantaneous synchronized conversion across all other three numerical representations.
Click the copy button adjacent to any base output to copy the formatted value to your clipboard.

Supported Inputs & Formats

Accepts integers in Decimal (0-9), Binary (0-1), Octal (0-7), or Hexadecimal (0-9, A-F, case-insensitive). Supports positive integers within JavaScript's safe integer range.

Outputs & Export Options

Provides synchronized real-time values across Binary, Octal, Decimal, and Hexadecimal notations, equipped with one-click clipboard copy triggers.

Key Features

Bidirectional real-time conversion across all 4 standard computing radices
Strict character validation filtering out illegal digits for the active base (e.g. rejecting '8' in octal)
One-click clipboard copy for individual base outputs
Zero network latency with instant JavaScript mathematical calculation

Practical Use Cases

Low-Level Systems Programming: Quickly verify hexadecimal memory addresses, bitmask patterns, and binary register flags when writing C, Rust, or assembly code.
Computer Science Studies: Check manual base arithmetic homework problems and learn radix conversions with immediate visual feedback.
Network Subnetting & Permissions: Convert octal file permissions (e.g. chmod 755) and binary IP netmasks into decimal and hexadecimal values.

💡 Example: Converting Byte Value 255

Input: Decimal input: 255

Operation: The script calculates radix representations using integer division and modulo math.

Output: Binary: 11111111 | Octal: 377 | Hexadecimal: FF

Privacy & Client-Side Processing

All numerical conversions are executed via pure JavaScript mathematical operations in browser memory. No calculation data is transmitted or logged.

Important Notes & Technical Limitations

Designed for standard integer conversions. Floating-point fractional numbers and values exceeding JavaScript Number.MAX_SAFE_INTEGER (2^53 - 1) may require BigInt handling for exact precision.

Frequently Asked Questions

How does the converter handle invalid characters?

The input handlers actively sanitize your input, preventing non-hex characters in hex mode, non-octal digits (8-9) in octal mode, and non-binary characters in binary mode.

Are lowercase hex letters supported?

Yes. Hexadecimal inputs accept both lowercase (a-f) and uppercase (A-F) characters and display uppercase results standard in programming.

What is the maximum integer size supported?

The tool supports safe integer calculations up to 9,007,199,254,740,991 (2^53 - 1), accommodating standard 32-bit and 64-bit integer values.