0 in Binary
0 in binary is 0. It takes 1 bit to write, and as a full byte it is 00000000.
How to convert 0 to binary
Zero is the one number where repeated division is over before it starts: 0 divided by 2 is 0 with remainder 0, so the whole binary form is that single remainder, 0.
| Division | Quotient | Remainder |
|---|---|---|
| 0 ÷ 2 | 0 | 0 |
Check it the other way
To verify, read 0 left to right, giving each digit its place value and adding up the places that hold a 1.
| Bit | Place value | Contributes |
|---|---|---|
| 0 | 20 = 1 | 0 |
Adding the contributions: 0 = 0. The conversion checks out.
0 in every base
| Format | Value |
|---|---|
| Binary | 0 |
| Decimal | 0 |
| Hexadecimal | 0 |
| Octal | 0 |
| As a byte (8-bit) | 00000000 |
Worth knowing about 0
Zero is one of the two binary digits itself, the off state of a bit, and the only number whose binary form contains no ones at all.
Convert another number
- Binary
- Hex
- Octal
Nearby numbers
Or browse the full table at numbers in binary.
FAQ
What is 0 in binary?
0 in binary is 0. Each digit's place is worth double the one to its right, starting from 1. Add up the places holding a 1 and you get 0 back. As a full 8-bit byte it is written 00000000, the same value padded with leading zeros.
How many bits does 0 need?
0 needs 1 bit in binary: 0. A number needs one more bit each time it crosses a power of two, which is why the counts climb slowly. Stored in a computer it usually occupies a full 8-bit byte anyway, written 00000000 with zeros filling the front.
What is 0 in hex?
0 in hexadecimal is 0. Hex is base 16, so every hex digit stands for exactly four binary digits, which makes it a compact way to write the same value. In octal, base 8, 0 becomes 0. All three are just different spellings of the number 0.