10 in binary is 1010. The decimal number 10 converts to binary 1010₂ using repeated division by 2. In 8-bit form: 00001010. The page shows the full step-by-step division table, an 8-bit visualiser with place values, and conversions to octal (12) and hexadecimal (A)....
10 IN BINARY (BASE 2)
1010
10₁₀ = 1010₂
Binary (base 2)
1010
8-bit binary
00001010
Octal (base 8)
12
Hex (base 16)
A
Bit length
4 bits
Active bits (1s)
2 of 4
Even or odd?
Even (ends in 0)
Power of 2?
No
STEP-BY-STEP — REPEATED DIVISION BY 2
| Dividend | ÷ 2 | Quotient | Remainder ↑ |
|---|---|---|---|
| 10 | ÷ 2 | 5 | 0 |
| 5 | ÷ 2 | 2 | 1 |
| 2 | ÷ 2 | 1 | 0 |
| 1 | ÷ 2 | 0 | 1 |
Read remainders from bottom to top: 1010 = 1010
FUN FACT
10 in binary is 1010. The alternating 1-0-1-0 pattern comes from 10 = 8 + 2 = 2^3 + 2^1, with 2^2 and 2^0 absent.
8-BIT REPRESENTATION
2⁷
128
2⁶
64
2⁵
32
2⁴
16
2³
8
2²
4
2¹
2
2⁰
1
2 active bits — 2³ + 2¹ = 10
PLACE VALUE BREAKDOWN
| 2³ | 2² | 2¹ | 2⁰ |
|---|---|---|---|
| 8 | 4 | 2 | 1 |
| 1 | 0 | 1 | 0 |
8 + 2 = 10 ✓
BASE CONVERSIONS
Decimal (base 10)
Standard counting system
10
Binary (base 2)
Used in all digital computing
1010
Octal (base 8)
Used in Unix permissions
12
Hexadecimal (16)
Used in colours, memory addresses
A
DECIMAL 0–30 IN BINARY
Write down the decimal number 10. To convert to binary, repeatedly divide by 2 and record the remainder at each step.
10 ÷ 2 = 5 remainder 0 5 ÷ 2 = 2 remainder 1 2 ÷ 2 = 1 remainder 0 1 ÷ 2 = 0 remainder 1 Read remainders bottom to top: 1010
Read the remainders from bottom to top: 1010. This is the binary representation of 10.
Verify by converting back: 2 + 8 = 10. ✓
10 to binary: 10 ÷ 2 = 5 remainder 0 5 ÷ 2 = 2 remainder 1 2 ÷ 2 = 1 remainder 0 1 ÷ 2 = 0 remainder 1 Read remainders bottom to top: 1010 10₁₀ = 1010₂ 8-bit: 00001010 Octal: 12 Hex: A
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Last updated: April 29, 2026 · Verified by EagleCalculator team · Eagle-eyed accuracy for every calculation.