Easily convert decimal numbers to binary with our free online Decimal to Binary Converter. Simply enter a decimal value to get the binary result. Fast, accurate, and perfect for students, developers, and computer science enthusiasts.
Decimal to Binary Converter
Do you want to convert binary to decimal?
How to Convert Decimal to Binary
To convert a decimal number to binary, start by dividing the number by 2 and writing down the remainder (either 0 or 1). Then, take the result and divide it by 2 again, recording the new remainder. Continue this process until the result becomes 0. Finally, read all the remainders in reverse order—this sequence of 0s and 1s is the binary equivalent of your original decimal number.
For example, to convert 13 to binary:
- 13 ÷ 2 = 6 remainder 1
- 6 ÷ 2 = 3 remainder 0
- 3 ÷ 2 = 1 remainder 1
- 1 ÷ 2 = 0 remainder 1
Result: 1101
Decimal to Binary Conversion Chart
This mini-chart shows the binary equivalents for decimal numbers from 0 to 20:
| Decimal | Binary | Decimal | Binary |
|---|---|---|---|
| 0 | 0 | 11 | 1011 |
| 1 | 1 | 12 | 1100 |
| 2 | 10 | 13 | 1101 |
| 3 | 11 | 14 | 1110 |
| 4 | 100 | 15 | 1111 |
| 5 | 101 | 16 | 10000 |
| 6 | 110 | 17 | 10001 |
| 7 | 111 | 18 | 10010 |
| 8 | 1000 | 19 | 10011 |
| 9 | 1001 | 20 | 10100 |
| 10 | 1010 |
FAQs
Q1: Why convert decimal to binary?
Binary is how computers understand and store information. Developers and students often need to convert between the two for coding, networking, or digital logic design.
Q2: Can I convert large numbers with this tool?
Absolutely! This converter can handle large decimal values and give you instant binary equivalents.
Q3: What if I type in something that's not a valid decimal number?
The converter will let you know which part of your input isn't valid so you can fix it.
Q4: Is this tool free?
Yes! It’s fast, free, and works right in your browser. No sign-up needed.
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Also see: Binary conversion tools
