2 in binary is 10. The decimal number 2 converts to binary 10₂ using repeated division by 2. In 8-bit form: 00000010. The page shows the full step-by-step division table, an 8-bit visualiser with place values, and conversions to octal (2) and hexadecimal (2)....
2 IN BINARY (BASE 2)
10
2₁₀ = 10₂
Binary (base 2)
10
8-bit binary
00000010
Octal (base 8)
2
Hex (base 16)
2
Bit length
2 bits
Active bits (1s)
1 of 2
Even or odd?
Even (ends in 0)
Power of 2?
Yes — 2¹
STEP-BY-STEP — REPEATED DIVISION BY 2
| Dividend | ÷ 2 | Quotient | Remainder ↑ |
|---|---|---|---|
| 2 | ÷ 2 | 1 | 0 |
| 1 | ÷ 2 | 0 | 1 |
Read remainders from bottom to top: 10 = 10
FUN FACT
2 in binary is 10 — the smallest 2-digit binary number. 2 is the base of the binary system itself, so 2 = 1 × 2^1 + 0 × 2^0.
8-BIT REPRESENTATION
2⁷
128
2⁶
64
2⁵
32
2⁴
16
2³
8
2²
4
2¹
2
2⁰
1
1 active bit — 2¹ = 2
PLACE VALUE BREAKDOWN
| 2¹ | 2⁰ |
|---|---|
| 2 | 1 |
| 1 | 0 |
2 = 2 ✓
BASE CONVERSIONS
Decimal (base 10)
Standard counting system
2
Binary (base 2)
Used in all digital computing
10
Octal (base 8)
Used in Unix permissions
2
Hexadecimal (16)
Used in colours, memory addresses
2
DECIMAL 0–30 IN BINARY
Write down the decimal number 2. To convert to binary, repeatedly divide by 2 and record the remainder at each step.
2 ÷ 2 = 1 remainder 0 1 ÷ 2 = 0 remainder 1 Read remainders bottom to top: 10
Read the remainders from bottom to top: 10. This is the binary representation of 2.
Verify by converting back: 2 = 2. ✓
2 to binary: 2 ÷ 2 = 1 remainder 0 1 ÷ 2 = 0 remainder 1 Read remainders bottom to top: 10 2₁₀ = 10₂ 8-bit: 00000010 Octal: 2 Hex: 2
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Last updated: April 29, 2026 · Verified by EagleCalculator team · Eagle-eyed accuracy for every calculation.