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Binary Fraction to Decimal Converter

Ever felt like binary numbers are speaking a language you don’t understand? 🤔

Whether you're a student wrestling with computer science homework or just curious about how binary fractions work, converting them to decimals can feel like solving a puzzle. But don’t worry—this tool is here to make your life easier! Simply type in a binary fraction (like 101.101), and voilà! You’ll get the decimal equivalent in a snap. No math headaches, no confusion—just quick, accurate results. Say goodbye to frustration and hello to smooth sailing! 🚀

Enter a binary fraction (e.g., 101.101) to convert it to its decimal equivalent.

This tool is for educational and practical purposes. No external APIs or data are used.

How It Works

The tool splits your binary fraction into two parts: the part before the decimal (integer) and the part after (fractional). Here's the magic formula:

  1. 1️⃣ The integer part is converted to decimal using binary-to-decimal rules (e.g., 101 → 5).
  2. 2️⃣ The fractional part is converted by adding up each digit's value based on its position (e.g., 0.101 → 0.625).
  3. 3️⃣ Both parts are combined to give you the final decimal number (e.g., 101.101 → 5.625).

Here’s a quick table to show you some examples:

Binary Fraction Decimal Equivalent
101.1015.625
110.0116.375
10.12.5
0.1010.625
111.1117.875

Top 10 Use Cases

  • 1️⃣ Learning binary-to-decimal conversion for computer science classes.
  • 2️⃣ Verifying manual binary fraction calculations.
  • 3️⃣ Simplifying complex binary fractions for coding projects.
  • 4️⃣ Solving math problems involving binary numbers.
  • 5️⃣ Teaching binary concepts to students or peers.
  • 6️⃣ Preparing for technical interviews or exams.
  • 7️⃣ Debugging binary-related errors in programming.
  • 8️⃣ Exploring binary fractions out of curiosity.
  • 9️⃣ Converting binary data for hardware programming.
  • 🔟 Writing tutorials or guides on binary numbers.
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