📊 Hexadecimal to Binary Converter
Binary 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 commonly used in computing and digital systems for compactly representing binary numbers.
Example: The hexadecimal number **A** is represented as **1010** in binary.
📌 Methods to Convert Hexadecimal to Binary
- Substitution Method: Replace each hexadecimal digit with its four-bit binary equivalent.
- Direct Conversion: Use a hexadecimal-to-binary conversion chart for reference.
- Using Built-in Functions: Many programming languages provide built-in functions for conversion.
📌 Examples of Hexadecimal to Binary Conversion
| Method | Example | Solution |
|---|---|---|
| Substitution Method | 2F | 2 → 0010, F → 1111 → **00101111** |
| Direct Conversion | 7A | 7 → 0111, A → 1010 → **01111010** |
| Built-in Functions | 1C | parseInt(“1C”, 16).toString(2) = **00011100** |
❓ FAQs
Q1: How do I convert a hexadecimal number to binary?
✅ You can convert a hexadecimal number to binary by replacing each hexadecimal digit with its four-bit binary equivalent. Another method is to use programming functions that automatically perform the conversion.
Q2: Why is hexadecimal often converted to binary?
✅ Hexadecimal is converted to binary because computers operate using binary numbers. Converting to binary helps in low-level programming, networking, and digital circuit design.
Q3: Can I convert large hexadecimal numbers to binary?
✅ Yes, large hexadecimal numbers can be converted using the substitution method. If the hexadecimal number is very large, using a calculator or programming function can speed up the process.
Q4: How can I check if my conversion is correct?
✅ To verify your conversion, convert the binary number back to hexadecimal and compare it with the original input. If they match, your conversion is accurate.
Q5: Are there any tools to automate hexadecimal to binary conversion?
✅ Yes, there are many online tools and programming functions available, such as `parseInt(hex, 16).toString(2)`, which efficiently convert hexadecimal numbers to binary.