Enter the number
Type a decimal number in the box; the base is already selected.
Decimal to binary converter
Type a decimal number and get its binary value instantly, together with binary, decimal, hexadecimal and octal, the bit count and a copy button. Free, in your browser.
- Free
- No sign-up
- Runs in your browser
100% private — the calculation is done in your browser and nothing is sent to any server.
How it works
Read the result
Binary, decimal, hexadecimal, binary and octal appear together.
Copy it
Use the copy button next to the value you need.
How to convert decimal to binary
To convert decimal to binary, type your number in the converter above and read the binary value. For example, 214 in decimal is 1101 0110 in binary. The other bases are shown at the same time.
Why convert decimal to binary
Turning decimal into binary is what you do when you set flags, write a bitmask, prepare a subnet or learn how computers store numbers. The number 214 becomes 11010110, which shows at a glance which bits are on and which are off.
Convert decimal to binary by hand
Here is 214 (decimal) converted step by step:
- Divide the number by 2 repeatedly and note each remainder: 214 ÷ 2 = 107 remainder 0, 107 ÷ 2 = 53 remainder 1, 53 ÷ 2 = 26 remainder 1, 26 ÷ 2 = 13 remainder 0, 13 ÷ 2 = 6 remainder 1, 6 ÷ 2 = 3 remainder 0, 3 ÷ 2 = 1 remainder 1, 1 ÷ 2 = 0 remainder 1.
- Stop when the quotient reaches 0.
- Read the remainders from last to first: 11010110.
Powers of two in binary
| Decimal | Binary | Previous value |
|---|---|---|
| 1 | 1 | 0 |
| 2 | 10 | 1 |
| 4 | 100 | 11 |
| 8 | 1000 | 111 |
| 16 | 10000 | 1111 |
| 32 | 100000 | 11111 |
| 64 | 1000000 | 111111 |
| 128 | 10000000 | 1111111 |
| 256 | 100000000 | 11111111 |
| 512 | 1000000000 | 111111111 |
| 1024 | 10000000000 | 1111111111 |
More decimal to binary examples
| Decimal | Binary | Decimal |
|---|---|---|
| 10 | 1010 | 10 |
| 42 | 101010 | 42 |
| 100 | 1100100 | 100 |
| 255 | 11111111 | 255 |
| 300 | 100101100 | 300 |
| 1000 | 1111101000 | 1000 |
| 4095 | 111111111111 | 4095 |
| 65535 | 1111111111111111 | 65535 |
Check your answer
To check the result, convert it back: 1101 0110 in binary is 214 in decimal. Your input may only contain the decimal digits 0 1 2 3 4 5 6 7 8 9; any other character is not a valid decimal number.
Good to know
- Every power of two is a 1 followed by zeros: 64 is 1000000.
- Doubling a number adds a zero at the end of its binary form.
- The number of bits needed is the length of the result; 214 needs 8.
- The converter also shows the other bases at the same time, so a single entry gives you binary, decimal, hexadecimal and octal.
More number base converters
Frequently asked questions
How do I convert decimal to binary?
Type the number in the converter at the top of this page and read the binary value. For example, 214 (decimal) is 1101 0110 (binary).
How do I convert decimal to binary without dividing?
Subtract the largest power of two that fits, write a 1, and repeat with the remainder; write a 0 wherever a power does not fit.
How many bits does a number need?
The smallest n for which 2^n is greater than the number. For 214, 2^8 = 256, so 8 bits.
How many bits does 214 need?
214 is 214 in decimal, which needs 8 bits in binary.
Is this converter free and private?
Yes. It is free, needs no sign-up and works in your browser, so what you type is never sent to a server.
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