8 in binary is 1000. The decimal number 8 converts to binary 1000₂ using repeated division by 2. In 8-bit form: 00001000. The page shows the full step-by-step division table, an 8-bit visualiser with place values, and conversions to octal (10) and hexadecimal (8)....
8 IN BINARY (BASE 2)
1000
8₁₀ = 1000₂
Binary (base 2)
1000
8-bit binary
00001000
Octal (base 8)
10
Hex (base 16)
8
Bit length
4 bits
Active bits (1s)
1 of 4
Even or odd?
Even (ends in 0)
Power of 2?
Yes — 2³
STEP-BY-STEP — REPEATED DIVISION BY 2
| Dividend | ÷ 2 | Quotient | Remainder ↑ |
|---|---|---|---|
| 8 | ÷ 2 | 4 | 0 |
| 4 | ÷ 2 | 2 | 0 |
| 2 | ÷ 2 | 1 | 0 |
| 1 | ÷ 2 | 0 | 1 |
Read remainders from bottom to top: 1000 = 1000
FUN FACT
8 in binary is 1000. As 2^3, it is the first 4-bit binary number. In computing, 8 bits form 1 byte — making 8 fundamental to digital storage.
8-BIT REPRESENTATION
2⁷
128
2⁶
64
2⁵
32
2⁴
16
2³
8
2²
4
2¹
2
2⁰
1
1 active bit — 2³ = 8
PLACE VALUE BREAKDOWN
| 2³ | 2² | 2¹ | 2⁰ |
|---|---|---|---|
| 8 | 4 | 2 | 1 |
| 1 | 0 | 0 | 0 |
8 = 8 ✓
BASE CONVERSIONS
Decimal (base 10)
Standard counting system
8
Binary (base 2)
Used in all digital computing
1000
Octal (base 8)
Used in Unix permissions
10
Hexadecimal (16)
Used in colours, memory addresses
8
DECIMAL 0–30 IN BINARY
Write down the decimal number 8. To convert to binary, repeatedly divide by 2 and record the remainder at each step.
8 ÷ 2 = 4 remainder 0 4 ÷ 2 = 2 remainder 0 2 ÷ 2 = 1 remainder 0 1 ÷ 2 = 0 remainder 1 Read remainders bottom to top: 1000
Read the remainders from bottom to top: 1000. This is the binary representation of 8.
Verify by converting back: 8 = 8. ✓
8 to binary: 8 ÷ 2 = 4 remainder 0 4 ÷ 2 = 2 remainder 0 2 ÷ 2 = 1 remainder 0 1 ÷ 2 = 0 remainder 1 Read remainders bottom to top: 1000 8₁₀ = 1000₂ 8-bit: 00001000 Octal: 10 Hex: 8
Hexadecimal Converter
Calculate instantly →
2 in Binary
Calculate instantly →
4 in Binary
Calculate instantly →
Random Number Generator
Calculate instantly →
8 in Binary
Calculate instantly →
16 in Binary
Calculate instantly →
10 in Binary
Calculate instantly →
1 in Binary
Calculate instantly →
255 in Binary
Calculate instantly →
3 in Binary
Calculate instantly →
6 in Binary
Calculate instantly →
9 in Binary
Calculate instantly →
11 in Binary
Calculate instantly →
14 in Binary
Calculate instantly →
128 in Binary
Calculate instantly →
0 in Binary
Calculate instantly →
5 in Binary
Calculate instantly →
7 in Binary
Calculate instantly →
12 in Binary
Calculate instantly →
Binary Converter
Calculate instantly →
Last updated: April 29, 2026 · Verified by EagleCalculator team · Eagle-eyed accuracy for every calculation.