What is a binary fraction?

A binary fraction is a number expressed in base 2 with a fractional part. Each digit after the binary point represents a power of 1/2.

Why can some decimal fractions not be exactly represented in binary?

Some decimal fractions have infinite binary representations, similar to how 1/3 cannot be exactly represented in decimal.

How does precision affect the conversion?

Precision determines how many digits are used in the result. Higher precision gives more accurate results but may produce longer binary fractions.

Can I use this for floating-point numbers?

Yes, this converter is useful for understanding how floating-point numbers are represented in binary, though it focuses on the fractional part.

🔢 Binary Fraction Converter

Convert between binary fractions and decimal fractions. Convert floating-point binary numbers to decimal and vice versa with precision control.

Conversion Direction:

Number:

Precision:

Our free online Binary Fraction Converter converts between binary fractions and decimal fractions. Convert floating-point binary numbers to decimal and vice versa with precision control.

Features

Our Binary Fraction Converter offers the following features:

✓Convert decimal fractions to binary fractions

✓Convert binary fractions to decimal fractions

✓Step-by-step conversion process

✓Precision control for conversion accuracy

✓Easy to use interface

How to Use

Follow these steps to use the Binary Fraction Converter:

1. Select Conversion Direction

Choose Decimal → Binary or Binary → Decimal conversion.

2. Enter Number

Enter the number you want to convert (e.g., 0.625 for decimal or 0.101 for binary).

3. Set Precision

Set the precision (number of decimal places or binary digits) for the conversion.

4. Convert

Click the Convert button to perform the conversion.

Tips

Here are some tips for using the Binary Fraction Converter:

1.Some decimal fractions cannot be exactly represented in binary

2.Higher precision gives more accurate results but may produce longer binary fractions

3.Binary fractions are read from left to right, with each digit representing a power of 1/2

4.Use this converter to understand floating-point number representation

Frequently Asked Questions

Common questions about the Binary Fraction Converter:

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Last updated: 2025-10-21 — Compiled and reviewed by Calvin (Math Research, FreeCalculators.app)