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Number Base Calculator

Convert a number between any two bases from 2 to 36.

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Place values

DigitValuePlaceContribution

Common bases

Binary (2)—
Octal (8)—
Decimal (10)—
Hexadecimal (16)—
Base 32—
Base 36—

Digits above nine

Bases over 10 borrow letters: A is 10, B is 11, and so on to Z at 35. That is why base 36 is as far as this notation goes.

Quick Tool Overview

The Number Base Calculator converts a number between any two bases from 2 to 36, with binary, octal, decimal and hexadecimal always shown together for reference. The place-value breakdown is displayed, which is what makes base arithmetic click rather than stay a black box.

What it does
Converts numbers between any bases from 2 to 36
You give it
A number, its source base and a target base
You get back
The converted value plus binary, octal, decimal and hex
Best for
Computer science coursework, debugging and encoding work
Calculators Free, unlimited use No sign-up Runs in your browser

About the Number Base Calculator

Convert a number from any base between 2 and 36 into any other, with binary, octal, decimal and hexadecimal always displayed together for reference. Digits above 9 use letters, so base 16 runs 0-9 then A-F and base 36 runs all the way to Z.

The place-value breakdown is shown for the conversion, which is what makes base arithmetic click rather than remain a black box: the binary number 1011 is 1x8 plus 0x4 plus 1x2 plus 1x1, giving 11. Invalid digits are flagged rather than silently ignored, so a stray 2 in a binary string or a G in hexadecimal tells you what went wrong instead of producing a confidently wrong answer.

Key features of the Number Base Calculator

Any base from 2 to 36

Digits above 9 use letters, so base 16 runs 0-9 then A-F and base 36 runs all the way to Z.

Four common bases always visible

Binary, octal, decimal and hexadecimal are shown alongside whatever conversion you asked for.

Place-value breakdown

Binary 1011 is shown as 1×8 + 0×4 + 1×2 + 1×1 = 11, which is how the conversion stops being magic.

Invalid digits flagged

A stray 2 in a binary string or a G in hex is reported, rather than producing a confidently wrong answer.

Instant conversion

Results update as you type, in both directions.

How to use the Number Base Calculator

  1. 1

    Enter your number

    Type the value using the digits valid for its base. Letters are accepted for bases above 10.

  2. 2

    Set the source base

    Tell the calculator which base your number is currently in.

  3. 3

    Choose the target base

    The conversion appears instantly, with binary, octal, decimal and hex shown as a reference row.

Frequently asked questions

Multiply each digit by its place value, a power of two, and add them up. Binary 1011 is 8 + 0 + 2 + 1, which is 11 in decimal.

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