12 in binary is 1100. The decimal number 12 converts to binary 1100₂ using repeated division by 2. In 8-bit form: 00001100. The page shows the full step-by-step division table, an 8-bit visualiser with place values, and conversions to octal (14) and hexadecimal (C)....
12 IN BINARY (BASE 2)
1100
12₁₀ = 1100₂
Binary (base 2)
1100
8-bit binary
00001100
Octal (base 8)
14
Hex (base 16)
C
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 ↑ |
|---|---|---|---|
| 12 | ÷ 2 | 6 | 0 |
| 6 | ÷ 2 | 3 | 0 |
| 3 | ÷ 2 | 1 | 1 |
| 1 | ÷ 2 | 0 | 1 |
Read remainders from bottom to top: 1100 = 1100
FUN FACT
12 in binary is 1100. Two consecutive 1-bits at the high end because 12 = 8 + 4 = 2^3 + 2^2.
8-BIT REPRESENTATION
2⁷
128
2⁶
64
2⁵
32
2⁴
16
2³
8
2²
4
2¹
2
2⁰
1
2 active bits — 2³ + 2² = 12
PLACE VALUE BREAKDOWN
| 2³ | 2² | 2¹ | 2⁰ |
|---|---|---|---|
| 8 | 4 | 2 | 1 |
| 1 | 1 | 0 | 0 |
8 + 4 = 12 ✓
BASE CONVERSIONS
Decimal (base 10)
Standard counting system
12
Binary (base 2)
Used in all digital computing
1100
Octal (base 8)
Used in Unix permissions
14
Hexadecimal (16)
Used in colours, memory addresses
C
DECIMAL 0–30 IN BINARY
Write down the decimal number 12. To convert to binary, repeatedly divide by 2 and record the remainder at each step.
12 ÷ 2 = 6 remainder 0 6 ÷ 2 = 3 remainder 0 3 ÷ 2 = 1 remainder 1 1 ÷ 2 = 0 remainder 1 Read remainders bottom to top: 1100
Read the remainders from bottom to top: 1100. This is the binary representation of 12.
Verify by converting back: 4 + 8 = 12. ✓
12 to binary: 12 ÷ 2 = 6 remainder 0 6 ÷ 2 = 3 remainder 0 3 ÷ 2 = 1 remainder 1 1 ÷ 2 = 0 remainder 1 Read remainders bottom to top: 1100 12₁₀ = 1100₂ 8-bit: 00001100 Octal: 14 Hex: C
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Last updated: April 29, 2026 · Verified by EagleCalculator team · Eagle-eyed accuracy for every calculation.