9 in binary is 1001. The decimal number 9 converts to binary 1001₂ using repeated division by 2. In 8-bit form: 00001001. The page shows the full step-by-step division table, an 8-bit visualiser with place values, and conversions to octal (11) and hexadecimal (9)....
9 IN BINARY (BASE 2)
1001
9₁₀ = 1001₂
Binary (base 2)
1001
8-bit binary
00001001
Octal (base 8)
11
Hex (base 16)
9
Bit length
4 bits
Active bits (1s)
2 of 4
Even or odd?
Odd (ends in 1)
Power of 2?
No
STEP-BY-STEP — REPEATED DIVISION BY 2
| Dividend | ÷ 2 | Quotient | Remainder ↑ |
|---|---|---|---|
| 9 | ÷ 2 | 4 | 1 |
| 4 | ÷ 2 | 2 | 0 |
| 2 | ÷ 2 | 1 | 0 |
| 1 | ÷ 2 | 0 | 1 |
Read remainders from bottom to top: 1001 = 1001
FUN FACT
9 in binary is 1001. Its binary is a palindrome — it reads the same forwards and backwards. 9 = 8 + 1 = 2^3 + 2^0.
8-BIT REPRESENTATION
2⁷
128
2⁶
64
2⁵
32
2⁴
16
2³
8
2²
4
2¹
2
2⁰
1
2 active bits — 2³ + 2⁰ = 9
PLACE VALUE BREAKDOWN
| 2³ | 2² | 2¹ | 2⁰ |
|---|---|---|---|
| 8 | 4 | 2 | 1 |
| 1 | 0 | 0 | 1 |
8 + 1 = 9 ✓
BASE CONVERSIONS
Decimal (base 10)
Standard counting system
9
Binary (base 2)
Used in all digital computing
1001
Octal (base 8)
Used in Unix permissions
11
Hexadecimal (16)
Used in colours, memory addresses
9
DECIMAL 0–30 IN BINARY
Write down the decimal number 9. To convert to binary, repeatedly divide by 2 and record the remainder at each step.
9 ÷ 2 = 4 remainder 1 4 ÷ 2 = 2 remainder 0 2 ÷ 2 = 1 remainder 0 1 ÷ 2 = 0 remainder 1 Read remainders bottom to top: 1001
Read the remainders from bottom to top: 1001. This is the binary representation of 9.
Verify by converting back: 1 + 8 = 9. ✓
9 to binary: 9 ÷ 2 = 4 remainder 1 4 ÷ 2 = 2 remainder 0 2 ÷ 2 = 1 remainder 0 1 ÷ 2 = 0 remainder 1 Read remainders bottom to top: 1001 9₁₀ = 1001₂ 8-bit: 00001001 Octal: 11 Hex: 9
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Last updated: April 29, 2026 · Verified by EagleCalculator team · Eagle-eyed accuracy for every calculation.