Fast and accurate decimal-to-binary conversion. Use our free decimal to binary calculator to translate base-10 numbers to base-2 binary format instantly.
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Input your number into the decimal-to-binary field.
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See the binary output and the step-by-step decimal-to-binary process.
Use the reference table for quick decimal to binary values.
Decimal-to-binary conversion is the process of translating a base-10 number into a base-2 number. Our decimal to binary converter makes this easy and efficient for everyone.
To convert decimal to binary, use the division-by-2 method. Divide the number by 2, record the remainder, and repeat with the quotient until it reaches 0. Then read the remainders in reverse order.
The most common method to convert decimal to binary is by repeatedly dividing by 2.
| Division | Quotient | Remainder | Bit # |
|---|---|---|---|
| 13 / 2 | 6 | 1 | 0 (LSB) |
| 6 / 2 | 3 | 0 | 1 |
| 3 / 2 | 1 | 1 | 2 |
| 1 / 2 | 0 | 1 | 3 (MSB) |
Result: 1101 (Read from bottom to top)
Subnet masks in networking are used to divide IP networks. A /24 mask is 255.255.255.0.
Manual conversion can be slow and prone to errors. A decimal to binary calculator ensures accuracy and speed, especially for large numbers used in computer science and digital electronics.
| Decimal | Binary |
|---|---|
| 0 | 0 |
| 1 | 1 |
| 2 | 10 |
| 3 | 11 |
| 4 | 100 |
| 5 | 101 |
| 6 | 110 |
| 7 | 111 |
| 8 | 1000 |
| 9 | 1001 |
| 10 | 1010 |
| 11 | 1011 |
| 12 | 1100 |
| 13 | 1101 |
| 14 | 1110 |
| 15 | 1111 |
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Learn the decimal-to-binary logic with detailed steps.
Handy chart for common decimal to binary conversions.
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