📊 Binary to Decimal Converter
Decimal representation will appear here…
📌 What is a Binary Number?
The **binary number system** is a base-2 numeral system that uses only two digits: **0 and 1**. It is widely used in computing and digital electronics.
Example: The binary number **1010** is represented as **10** in decimal.
📌 Methods to Convert Binary to Decimal
- Positional Notation Method: Multiply each bit by 2 raised to its position index and sum the values.
- Doubling Method: Start from left and keep doubling while adding the next bit.
- Using Built-in Functions: Many programming languages provide built-in functions for conversion.
📌 Examples of Binary to Decimal Conversion
| Method | Example | Solution |
|---|---|---|
| Positional Notation | 1011 | (1×2³) + (0×2²) + (1×2¹) + (1×2⁰) = 11 |
| Doubling Method | 1101 | 1 → 3 → 6 → 13 (Double and add each bit) |
| Built-in Functions | 10010 | parseInt(“10010”, 2) = 18 |
❓ FAQs
Q1: How do I convert a binary number to decimal?
✅ Use positional notation, doubling method, or programming functions.
Q2: Why is binary used in computers?
✅ Computers use binary as it aligns with electronic circuit behavior.
Q3: Can I convert large binary numbers?
✅ Yes, but ensure accuracy by using precise methods.
Q4: What is the simplest way to verify conversion?
✅ Convert the decimal back to binary and check if it matches.
Q5: Is there a limit to binary conversion?
✅ No, but large numbers may require higher computing precision.