16 in binary is 10000. The decimal number 16 converts to binary 10000₂ using repeated division by 2. In 8-bit form: 00010000. The page shows the full step-by-step division table, an 8-bit visualiser with place values, and conversions to octal (20) and hexadecimal (10)....
16 IN BINARY (BASE 2)
10000
16₁₀ = 10000₂
Binary (base 2)
10000
8-bit binary
00010000
Octal (base 8)
20
Hex (base 16)
10
Bit length
5 bits
Active bits (1s)
1 of 5
Even or odd?
Even (ends in 0)
Power of 2?
Yes — 2⁴
STEP-BY-STEP — REPEATED DIVISION BY 2
| Dividend | ÷ 2 | Quotient | Remainder ↑ |
|---|---|---|---|
| 16 | ÷ 2 | 8 | 0 |
| 8 | ÷ 2 | 4 | 0 |
| 4 | ÷ 2 | 2 | 0 |
| 2 | ÷ 2 | 1 | 0 |
| 1 | ÷ 2 | 0 | 1 |
Read remainders from bottom to top: 10000 = 10000
FUN FACT
16 in binary is 10000. As 2^4, it introduces a 5th bit. 16 is the base of hexadecimal and a landmark in computing — 16 × 16 = 256, the number of byte values.
8-BIT REPRESENTATION
2⁷
128
2⁶
64
2⁵
32
2⁴
16
2³
8
2²
4
2¹
2
2⁰
1
1 active bit — 2⁴ = 16
PLACE VALUE BREAKDOWN
| 2⁴ | 2³ | 2² | 2¹ | 2⁰ |
|---|---|---|---|---|
| 16 | 8 | 4 | 2 | 1 |
| 1 | 0 | 0 | 0 | 0 |
16 = 16 ✓
BASE CONVERSIONS
Decimal (base 10)
Standard counting system
16
Binary (base 2)
Used in all digital computing
10000
Octal (base 8)
Used in Unix permissions
20
Hexadecimal (16)
Used in colours, memory addresses
10
NEARBY VALUES
DECIMAL 0–30 IN BINARY
Write down the decimal number 16. To convert to binary, repeatedly divide by 2 and record the remainder at each step.
16 ÷ 2 = 8 remainder 0 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: 10000
Read the remainders from bottom to top: 10000. This is the binary representation of 16.
Verify by converting back: 16 = 16. ✓
16 to binary: 16 ÷ 2 = 8 remainder 0 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: 10000 16₁₀ = 10000₂ 8-bit: 00010000 Octal: 20 Hex: 10
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Last updated: April 29, 2026 · Verified by EagleCalculator team · Eagle-eyed accuracy for every calculation.