Base Converter (Any Base)

Our interactive Base Converter allows you to convert numbers between different bases, such as binary, octal, decimal, and hexadecimal. This tool is essential for students, engineers, and anyone working with different number systems.

Base Converter Tool

Results

Converted Number: N/A

Data Source and Methodology

All calculations are strictly based on standard base conversion algorithms. Refer to Wikipedia on Radix for more information. All calculations are based on these formulas and principles.

The Formula Explained

To convert a number from base n to base m, use the following steps:

1. Convert the number to base 10.

2. Convert the base 10 number to the target base.

Glossary of Terms

  • Base: The number of different digits, including zero, that a positional numeral system uses to represent numbers.
  • Converted Number: The number obtained after conversion from one base to another.

How It Works: A Step-by-Step Example

Example: Convert the number '1011' from base 2 (binary) to base 10 (decimal).

1. Calculate each digit's value: 1×2³ + 0×2² + 1×2¹ + 1×2⁰ = 8 + 0 + 2 + 1 = 11.

Frequently Asked Questions (FAQ)

What is base conversion?

Base conversion is the process of changing the base of a number to another base.

Why are bases important in computing?

Bases are crucial in computing because different systems use different bases, such as binary for computers.

What bases can I use with this tool?

You can convert numbers between any base from 2 to 36.

How accurate is this conversion tool?

This tool uses precise algorithms to ensure accurate conversions.

Can I convert fractions with this tool?

Currently, this tool supports only whole numbers.

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