Binary to Decimal Converter
📖 User Guide for Binary to Decimal Converter
This guide will help you understand how to use the Binary to Decimal Converter efficiently. Follow the steps below and explore examples, features, and FAQs for better clarity.
🚀 How to Use the Binary to Decimal Converter
1️⃣ Enter a Binary Number (e.g., 1011) in the input field.
2️⃣ Click the “Convert” button to see the decimal equivalent.
3️⃣ Use the “Copy” button to quickly copy the result.
4️⃣ If needed, click “Reset” to clear the fields and enter a new value.
🎨 Features of This Converter
✅ Instant Conversion – Converts binary to decimal in real-time.
✅ Copy Result Button – Quickly copy the converted number with one click.
✅ Live Validation – Ensures you only enter valid binary digits (0 & 1).
✅ Auto Formatting – Trims extra spaces and removes invalid characters automatically.
✅ User-Friendly Design – Modern styling with smooth animations.
🔢 Example Conversions
| Binary Input | Decimal Output | Explanation |
|---|---|---|
101 | 5 | (1×2²) + (0×2¹) + (1×2⁰) = 5 |
1111 | 15 | (1×2³) + (1×2²) + (1×2¹) + (1×2⁰) = 15 |
100110 | 38 | (1×2⁵) + (0×2⁴) + (0×2³) + (1×2²) + (1×2¹) + (0×2⁰) = 38 |
🔍 Understanding Binary to Decimal Conversion
📌 Step-by-Step Example
Convert 1101 (Binary) to Decimal:
- Identify the place values of the binary digits (starting from the right).
- Multiply each digit by 2 raised to the power of its position.
- Sum all the values:
(1×23)+(1×22)+(0×21)+(1×20)(1 \times 2^3) + (1 \times 2^2) + (0 \times 2^1) + (1 \times 2^0)(1×23)+(1×22)+(0×21)+(1×20) =(8)+(4)+(0)+(1)=13= (8) + (4) + (0) + (1) = 13=(8)+(4)+(0)+(1)=13
So, 1101 in binary is 13 in decimal. ✅
❓ Frequently Asked Questions (FAQs)
1️⃣ Can I convert decimal back to binary?
No, this tool is designed only for binary to decimal conversion. However, a Decimal to Binary Converter can be created separately.
2️⃣ What happens if I enter a number that is not binary?
The input field only allows 0s and 1s. Invalid characters will be removed automatically.
3️⃣ Can I copy the result?
Yes! The “Copy” button lets you quickly copy the converted decimal number.
4️⃣ Is there a limit to the binary number length?
No strict limit, but extremely large binary numbers might take longer to process.
5️⃣ Does this tool work on mobile?
Yes! It’s fully responsive and works perfectly on all devices. 📱💻