11 in binary is 1011. The decimal number 11 converts to binary 1011₂ using repeated division by 2. In 8-bit form: 00001011. The page shows the full step-by-step division table, an 8-bit visualiser with place values, and conversions to octal (13) and hexadecimal (B)....
11 IN BINARY (BASE 2)
1011
11₁₀ = 1011₂
Binary (base 2)
1011
8-bit binary
00001011
Octal (base 8)
13
Hex (base 16)
B
Bit length
4 bits
Active bits (1s)
3 of 4
Even or odd?
Odd (ends in 1)
Power of 2?
No
STEP-BY-STEP — REPEATED DIVISION BY 2
| Dividend | ÷ 2 | Quotient | Remainder ↑ |
|---|---|---|---|
| 11 | ÷ 2 | 5 | 1 |
| 5 | ÷ 2 | 2 | 1 |
| 2 | ÷ 2 | 1 | 0 |
| 1 | ÷ 2 | 0 | 1 |
Read remainders from bottom to top: 1011 = 1011
FUN FACT
11 in binary is 1011. 11 is prime. Its binary 1011 has three 1-bits.
8-BIT REPRESENTATION
2⁷
128
2⁶
64
2⁵
32
2⁴
16
2³
8
2²
4
2¹
2
2⁰
1
3 active bits — 2³ + 2¹ + 2¹ = 11
PLACE VALUE BREAKDOWN
| 2³ | 2² | 2¹ | 2⁰ |
|---|---|---|---|
| 8 | 4 | 2 | 1 |
| 1 | 0 | 1 | 1 |
8 + 2 + 1 = 11 ✓
BASE CONVERSIONS
Decimal (base 10)
Standard counting system
11
Binary (base 2)
Used in all digital computing
1011
Octal (base 8)
Used in Unix permissions
13
Hexadecimal (16)
Used in colours, memory addresses
B
DECIMAL 0–30 IN BINARY
Write down the decimal number 11. To convert to binary, repeatedly divide by 2 and record the remainder at each step.
11 ÷ 2 = 5 remainder 1 5 ÷ 2 = 2 remainder 1 2 ÷ 2 = 1 remainder 0 1 ÷ 2 = 0 remainder 1 Read remainders bottom to top: 1011
Read the remainders from bottom to top: 1011. This is the binary representation of 11.
Verify by converting back: 1 + 2 + 8 = 11. ✓
11 to binary: 11 ÷ 2 = 5 remainder 1 5 ÷ 2 = 2 remainder 1 2 ÷ 2 = 1 remainder 0 1 ÷ 2 = 0 remainder 1 Read remainders bottom to top: 1011 11₁₀ = 1011₂ 8-bit: 00001011 Octal: 13 Hex: B
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Last updated: April 29, 2026 · Verified by EagleCalculator team · Eagle-eyed accuracy for every calculation.