Konverter
Integer Base Converter
The Base Converter translates numbers between the most common numeral systems: binary (base 2), octal (base 8), decimal (base 10), and hexadecimal (base 16). It is an essential daily tool for developers working with low-level code, bitmasking, color values, or memory addresses. Results are shown simultaneously in all bases so you can cross-check conversions at a glance.
What is a numeral base?
A numeral base (or radix) defines how many unique digits a positional number system uses. Base 10 (decimal) uses digits 0–9 and is the everyday system for humans. Base 2 (binary) uses only 0 and 1 and is the native language of digital hardware. Base 16 (hexadecimal) uses 0–9 and A–F, giving a compact representation of binary data since each hex digit maps to exactly four bits. Base 8 (octal) uses 0–7 and was historically popular in computing because three bits map to one octal digit. Understanding conversions between these systems is fundamental to computer science and low-level programming.
How does the converter work?
Enter a number in any of the four input fields and the tool instantly recalculates and displays the equivalent value in all other bases. The converter first parses the input according to its base, converts it to an internal integer representation, and then formats the output string for each target base. Hexadecimal output uses uppercase letters A–F by default. Negative numbers and zero are handled correctly. The tool validates your input and highlights invalid characters for the chosen base, so you immediately see if you accidentally typed a digit that does not belong.
Typical Use Cases
- Converting hex color codes to decimal RGB components and vice versa
- Reading and writing binary flags or bitmasks in embedded systems
- Understanding memory addresses printed in hexadecimal by debuggers
- Cross-checking number representations when studying computer architecture
Step-by-step Guide
- Step 1: Type or paste your number into the input field that matches its current base.
- Step 2: The tool automatically detects invalid characters and converts on every keystroke.
- Step 3: Read the results in all four bases shown simultaneously below the input.
- Step 4: Click the copy icon next to any result to copy it to your clipboard.
Example
Input
255 (decimal)
Output
Binary: 11111111 | Octal: 377 | Hex: FF
Tips & Notes
- Hex digits A–F are case-insensitive; the tool accepts both upper and lower case.
- To convert an IP address component, just enter each octet separately as a decimal number.
- Remember that every hexadecimal digit represents exactly 4 binary bits – useful for reading bitmasks.
Frequently Asked Questions
Can I convert very large numbers?
The tool supports integers within JavaScript's safe integer range (up to 2^53 – 1). For cryptographic or arbitrary-precision numbers, a dedicated big-integer library is recommended.
Does the tool support negative numbers?
Yes. Prefix your decimal number with a minus sign (–) and the output in other bases will reflect the negative value using the standard signed representation.
What is the difference between hex and Base64?
Hexadecimal encodes binary data as pairs of characters from 0–9 and A–F, doubling the byte count. Base64 uses 64 characters and produces a 33% overhead, making it more compact than hex. For text-safe encoding of binary data in protocols like email or JSON, Base64 is usually preferred.
Integer Base Converter
Convert numbers between different bases: Binary, Octal, Decimal, Hexadecimal, Base32, Base36, Base58, Base64.
Open Tool