11 in Binary
11 in binary is 1011. It takes 4 bits to write, and as a full byte it is 00001011.
How to convert 11 to binary
Divide by 2, write down the remainder, and repeat with the quotient until it reaches 0. The remainders, read from the last row up to the first, spell out 1011.
| Division | Quotient | Remainder |
|---|---|---|
| 11 ÷ 2 | 5 | 1 |
| 5 ÷ 2 | 2 | 1 |
| 2 ÷ 2 | 1 | 0 |
| 1 ÷ 2 | 0 | 1 |
Check it the other way
To verify, read 1011 left to right, giving each digit its place value and adding up the places that hold a 1.
| Bit | Place value | Contributes |
|---|---|---|
| 1 | 23 = 8 | 8 |
| 0 | 22 = 4 | 0 |
| 1 | 21 = 2 | 2 |
| 1 | 20 = 1 | 1 |
Adding the contributions: 8 + 0 + 2 + 1 = 11. The conversion checks out.
11 in every base
| Format | Value |
|---|---|
| Binary | 1011 |
| Decimal | 11 |
| Hexadecimal | B |
| Octal | 13 |
| As a byte (8-bit) | 00001011 |
Worth knowing about 11
Eleven's binary form 1011 looks like a decimal number over a thousand, the classic base mix-up, and saying one-zero-one-one aloud is how programmers dodge it.
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Or browse the full table at numbers in binary.
FAQ
What is 11 in binary?
11 converts to 1011 in binary. Every 1 in the pattern marks a power of two that is part of the total, and every 0 marks one that is skipped. Add the marked powers and the sum is exactly 11. Padded to a byte, it reads 00001011.
How many bits does 11 need?
1011 is 4 bits long, so 11 needs 4 bits at minimum. The count grows by one whenever a number reaches the next power of two. Inside a byte, the leftover positions are filled with zeros, which is why 11 appears as 00001011 in most computer contexts.
What is 11 in hex?
11 written in base 16 is B. Programmers lean on hex because each digit maps to exactly four bits, turning long binary strings into short codes. For completeness, 11 in octal is 13 and in binary it is 1011. They all name the same quantity.