🔢 Base Converter: Calculator

Convert numbers between binary, octal, decimal, hex, or any base from 2 to 36.

CONVERTED VALUE
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Decimal Equivalent
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Digits Used
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Supports any base from 2 to 36.

How the Base Converter Calculator Works

Every number can be represented in different numeral bases (also called radixes). Decimal (base 10) is what we use daily, binary (base 2) is the language of computer hardware, hexadecimal (base 16) is common in programming and color codes, and octal (base 8) shows up in some older computing systems and Unix file permissions. This calculator converts any number between two bases from 2 to 36.

Step 1: Convert the input from its base to decimal (base 10)
Step 2: Convert that decimal value into the target base

Common Base Conversions

Binary uses only digits 0-1, octal uses 0-7, decimal uses 0-9, and hexadecimal uses 0-9 plus A-F (representing 10-15). Bases above 16 continue the alphabet (G=16, H=17, and so on) up to base 36, which uses every digit and every letter of the alphabet.

Why Programmers Use Hex and Binary

Computers store everything in binary, but long binary strings are hard for humans to read, so hexadecimal is commonly used as a compact, human-friendly shorthand — each hex digit represents exactly 4 binary bits, making conversions between the two especially clean.

📎 Related Tools: Binary Calculator Hex Calculator Big Number Calculator Roman Numeral Converter

❓ Frequently Asked Questions

What bases does this calculator support?
Any base from 2 (binary) to 36, which is the maximum practical base using the standard digits 0-9 and letters A-Z.
How do I convert binary to hexadecimal?
Set 'From Base' to Binary (2) and 'To Base' to Hexadecimal (16), then enter your binary number — the calculator converts it through decimal automatically and shows the hex result.
Why does hexadecimal use letters?
Hexadecimal needs 16 distinct digits (0 through 15), but our standard number system only has 10 digit symbols (0-9), so letters A through F are used to represent the values 10 through 15.
What is octal used for?
Octal (base 8) is less common today but historically appeared in early computing systems and is still used for Unix/Linux file permission notation (like chmod 755).
Can this calculator handle very large numbers?
It uses standard JavaScript number precision, which reliably handles integers up to about 9 quadrillion (2^53). Extremely large numbers beyond that range may lose precision.

🏆 About This Tool — Accuracy & Trust

🔒 Data Privacy: All calculations run entirely within your browser using JavaScript. Nothing you enter here is ever transmitted to our servers, stored, sold, or shared.

📐 Accuracy Note: This tool uses standard, widely published formulas and guidelines. Results are estimates for informational purposes; for financial, medical, or engineering decisions, consult a licensed professional.

📅 Last Updated: September 2026.