📊 Decimal to Binary Converter
Binary representation will appear here…
📌 What is Binary?
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 decimal number **10** is represented as **1010** in binary.
📌 Methods to Convert Decimal to Binary
- Division by 2 Method: Repeatedly divide the decimal number by 2 and record the remainders.
- Bitwise Method: Use bitwise operations to extract binary digits.
- Using Base Conversion Formula: Convert decimal numbers by expressing them in base-2.
📌 Examples of Decimal to Binary Conversion
| Method | Example | Solution |
|---|---|---|
| Division by 2 | 13 | 13 → 1101 (Divide by 2, keep remainders) |
| Bitwise Method | 8 | 1000 (Bitwise shifting used to determine bits) |
| Base Conversion Formula | 45 | 101101 (Converted using base-2 rules) |
❓ FAQs
Q1: How do I convert a decimal number to binary?
✅ Use division by 2, bitwise method, or base conversion formulas.
Q2: What is the importance of binary numbers?
✅ Binary numbers are used in digital electronics, programming, and data storage.
Q3: Can I convert large decimal numbers to binary?
✅ Yes, large numbers can be converted using the same methods with more steps.
Q4: Why do computers use binary?
✅ Computers process data in binary as it aligns with electronic circuit behavior.
Q5: How do I verify my binary conversion?
✅ Convert the binary number back to decimal to check accuracy.
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