20 in binary is 10100. The decimal number 20 converts to binary 10100₂ using repeated division by 2. In 8-bit form: 00010100. The page shows the full step-by-step division table, an 8-bit visualiser with place values, and conversions to octal (24) and hexadecimal (14)....
20 IN BINARY (BASE 2)
10100
20₁₀ = 10100₂
Binary (base 2)
10100
8-bit binary
00010100
Octal (base 8)
24
Hex (base 16)
14
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 ↑ |
|---|---|---|---|
| 20 | ÷ 2 | 10 | 0 |
| 10 | ÷ 2 | 5 | 0 |
| 5 | ÷ 2 | 2 | 1 |
| 2 | ÷ 2 | 1 | 0 |
| 1 | ÷ 2 | 0 | 1 |
Read remainders from bottom to top: 10100 = 10100
FUN FACT
20 in binary is 10100. 20 = 16 + 4 = 2^4 + 2^2. The 20 fingers and toes of a human correspond to vigesimal (base-20) counting.
8-BIT REPRESENTATION
2⁷
128
2⁶
64
2⁵
32
2⁴
16
2³
8
2²
4
2¹
2
2⁰
1
2 active bits — 2⁴ + 2² = 20
PLACE VALUE BREAKDOWN
| 2⁴ | 2³ | 2² | 2¹ | 2⁰ |
|---|---|---|---|---|
| 16 | 8 | 4 | 2 | 1 |
| 1 | 0 | 1 | 0 | 0 |
16 + 4 = 20 ✓
BASE CONVERSIONS
Decimal (base 10)
Standard counting system
20
Binary (base 2)
Used in all digital computing
10100
Octal (base 8)
Used in Unix permissions
24
Hexadecimal (16)
Used in colours, memory addresses
14
NEARBY VALUES
DECIMAL 0–30 IN BINARY
Write down the decimal number 20. To convert to binary, repeatedly divide by 2 and record the remainder at each step.
20 ÷ 2 = 10 remainder 0 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: 10100
Read the remainders from bottom to top: 10100. This is the binary representation of 20.
Verify by converting back: 4 + 16 = 20. ✓
20 to binary: 20 ÷ 2 = 10 remainder 0 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: 10100 20₁₀ = 10100₂ 8-bit: 00010100 Octal: 24 Hex: 14
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Last updated: April 29, 2026 · Verified by EagleCalculator team · Eagle-eyed accuracy for every calculation.