Enter base 10 number to convert to base 2
Decimal to Binary Converter
What is Base 10 and Base 2?
Base 10 (Decimal System)
The standard numbering system using digits 0–9.
Each position represents a power of 10.
Base 2 (Binary System)
Used by computers, with only 0 and 1.
Each position represents a power of 2.
How to Convert Base 10 to Base 2
Divide the number by 2, record the quotient and remainder (0 or 1).
Repeat with the quotient until it becomes 0.
Read remainders in reverse order for the binary result.
Example: Convert 25 to binary
Division | Quotient | Remainder |
---|---|---|
25 ÷ 2 | 12 | 1 |
12 ÷ 2 | 6 | 0 |
6 ÷ 2 | 3 | 0 |
3 ÷ 2 | 1 | 1 |
1 ÷ 2 | 0 | 1 |
Base 2 = 11001 (read remainders ↑ bottom to top)
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