๐ Hexadecimal to Decimal Converter
Decimal representation will appear here…
๐ 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.
๐ 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.
๐ Examples of Hexadecimal to Decimal Conversion
Method | Example | Solution |
---|---|---|
Positional Notation | 2F | (2ร16ยน) + (15ร16โฐ) = 32 + 15 = 47 |
Direct Conversion | 7B | 7 ร 16 + 11 = 123 |
Built-in Functions | FF | parseInt(“FF”, 16) = 255 |
โ FAQs
Q1: How do I convert a hexadecimal number to decimal?
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Use positional notation, direct conversion, or programming functions.
Q2: Why is hexadecimal used in computing?
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Hexadecimal is used because it represents binary values more compactly.
Q3: Can I convert large hexadecimal numbers?
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Yes, but ensure accuracy by using structured methods.
Q4: What is the simplest way to verify conversion?
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Convert the decimal back to hexadecimal and check if it matches.
Q5: Is there a limit to hexadecimal conversion?
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No, but large numbers may require higher computing precision.