24 in binary is 11000. The decimal number 24 converts to binary 11000₂ using repeated division by 2. In 8-bit form: 00011000. The page shows the full step-by-step division table, an 8-bit visualiser with place values, and conversions to octal (30) and hexadecimal (18)....
24 IN BINARY (BASE 2)
11000
24₁₀ = 11000₂
Binary (base 2)
11000
8-bit binary
00011000
Octal (base 8)
30
Hex (base 16)
18
Bit length
5 bits
Active bits (1s)
2 of 5
Even or odd?
Even (ends in 0)
Power of 2?
No
STEP-BY-STEP — REPEATED DIVISION BY 2
| Dividend | ÷ 2 | Quotient | Remainder ↑ |
|---|---|---|---|
| 24 | ÷ 2 | 12 | 0 |
| 12 | ÷ 2 | 6 | 0 |
| 6 | ÷ 2 | 3 | 0 |
| 3 | ÷ 2 | 1 | 1 |
| 1 | ÷ 2 | 0 | 1 |
Read remainders from bottom to top: 11000 = 11000
FUN FACT
24 in binary is 11000. 24 = 16 + 8 = 2^4 + 2^3. There are 24 hours in a day — and 24 in binary shows two consecutive high bits.
8-BIT REPRESENTATION
2⁷
128
2⁶
64
2⁵
32
2⁴
16
2³
8
2²
4
2¹
2
2⁰
1
2 active bits — 2⁴ + 2³ = 24
PLACE VALUE BREAKDOWN
| 2⁴ | 2³ | 2² | 2¹ | 2⁰ |
|---|---|---|---|---|
| 16 | 8 | 4 | 2 | 1 |
| 1 | 1 | 0 | 0 | 0 |
16 + 8 = 24 ✓
BASE CONVERSIONS
Decimal (base 10)
Standard counting system
24
Binary (base 2)
Used in all digital computing
11000
Octal (base 8)
Used in Unix permissions
30
Hexadecimal (16)
Used in colours, memory addresses
18
NEARBY VALUES
DECIMAL 0–30 IN BINARY
Write down the decimal number 24. To convert to binary, repeatedly divide by 2 and record the remainder at each step.
24 ÷ 2 = 12 remainder 0 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: 11000
Read the remainders from bottom to top: 11000. This is the binary representation of 24.
Verify by converting back: 8 + 16 = 24. ✓
24 to binary: 24 ÷ 2 = 12 remainder 0 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: 11000 24₁₀ = 11000₂ 8-bit: 00011000 Octal: 30 Hex: 18
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.