27 in binary is 11011. The decimal number 27 converts to binary 11011₂ using repeated division by 2. In 8-bit form: 00011011. The page shows the full step-by-step division table, an 8-bit visualiser with place values, and conversions to octal (33) and hexadecimal (1B)....
27 IN BINARY (BASE 2)
11011
27₁₀ = 11011₂
Binary (base 2)
11011
8-bit binary
00011011
Octal (base 8)
33
Hex (base 16)
1B
Bit length
5 bits
Active bits (1s)
4 of 5
Even or odd?
Odd (ends in 1)
Power of 2?
No
STEP-BY-STEP — REPEATED DIVISION BY 2
| Dividend | ÷ 2 | Quotient | Remainder ↑ |
|---|---|---|---|
| 27 | ÷ 2 | 13 | 1 |
| 13 | ÷ 2 | 6 | 1 |
| 6 | ÷ 2 | 3 | 0 |
| 3 | ÷ 2 | 1 | 1 |
| 1 | ÷ 2 | 0 | 1 |
Read remainders from bottom to top: 11011 = 11011
FUN FACT
27 in binary is 11011. 27 = 3^3 is a perfect cube. 27 = 16 + 8 + 2 + 1 = 2^4 + 2^3 + 2^1 + 2^0.
8-BIT REPRESENTATION
2⁷
128
2⁶
64
2⁵
32
2⁴
16
2³
8
2²
4
2¹
2
2⁰
1
4 active bits — 2⁴ + 2³ + 2³ + 2³ = 27
PLACE VALUE BREAKDOWN
| 2⁴ | 2³ | 2² | 2¹ | 2⁰ |
|---|---|---|---|---|
| 16 | 8 | 4 | 2 | 1 |
| 1 | 1 | 0 | 1 | 1 |
16 + 8 + 2 + 1 = 27 ✓
BASE CONVERSIONS
Decimal (base 10)
Standard counting system
27
Binary (base 2)
Used in all digital computing
11011
Octal (base 8)
Used in Unix permissions
33
Hexadecimal (16)
Used in colours, memory addresses
1B
NEARBY VALUES
DECIMAL 0–30 IN BINARY
Write down the decimal number 27. To convert to binary, repeatedly divide by 2 and record the remainder at each step.
27 ÷ 2 = 13 remainder 1 13 ÷ 2 = 6 remainder 1 6 ÷ 2 = 3 remainder 0 3 ÷ 2 = 1 remainder 1 1 ÷ 2 = 0 remainder 1 Read remainders bottom to top: 11011
Read the remainders from bottom to top: 11011. This is the binary representation of 27.
Verify by converting back: 1 + 2 + 8 + 16 = 27. ✓
27 to binary: 27 ÷ 2 = 13 remainder 1 13 ÷ 2 = 6 remainder 1 6 ÷ 2 = 3 remainder 0 3 ÷ 2 = 1 remainder 1 1 ÷ 2 = 0 remainder 1 Read remainders bottom to top: 11011 27₁₀ = 11011₂ 8-bit: 00011011 Octal: 33 Hex: 1B
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Last updated: April 29, 2026 · Verified by EagleCalculator team · Eagle-eyed accuracy for every calculation.