📊 Hexadecimal to Decimal Converter
Decimal representation will appear here…
📌 What is a Hexadecimal Number?
The **hexadecimal number system** is a base-16 numeral system that uses sixteen symbols: **0-9 and A-F**. It is widely used in computing and digital electronics.
Example: The hexadecimal number **1A** is represented as **26** in decimal.
📌 Methods to Convert Hexadecimal to Decimal
- Positional Notation Method: Multiply each digit by 16 raised to its position index and sum the values.
- Direct Conversion: Use a hexadecimal chart to replace each digit and sum their decimal equivalents.
- Using Built-in Functions: Many programming languages provide built-in functions for conversion.
📌 Examples of Hexadecimal to Decimal Conversion
| Method | Example | Solution |
|---|---|---|
| Positional Notation | 2F | (2×16¹) + (15×16⁰) = 32 + 15 = 47 |
| Direct Conversion | 7B | 7 × 16 + 11 = 123 |
| Built-in Functions | FF | parseInt(“FF”, 16) = 255 |
❓ FAQs
Q1: How do I convert a hexadecimal number to decimal?
✅ Use positional notation, direct conversion, or programming functions.
Q2: Why is hexadecimal used in computing?
✅ Hexadecimal is used because it represents binary values more compactly.
Q3: Can I convert large hexadecimal numbers?
✅ Yes, but ensure accuracy by using structured methods.
Q4: What is the simplest way to verify conversion?
✅ Convert the decimal back to hexadecimal and check if it matches.
Q5: Is there a limit to hexadecimal conversion?
✅ No, but large numbers may require higher computing precision.
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