Decimal to Binary Converter
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Enter a decimal value to see the conversion steps here.
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Decimal to Binary Converter
A Decimal to Binary Converter helps convert decimal numbers (base-10) into binary numbers (base-2), which are used by computers.
Divide the decimal number by 2 repeatedly, note the remainders, and read them from bottom to top to get the binary number.
What Is the Decimal Number System?
The decimal number system is the number system we use in daily life. It has 10 digits: 0 to 9.
What Is the Binary Number System?
The binary number system uses only two digits: 0 and 1.Computers use binary because electronic circuits understand ON (1) and OFF (0).
How to Convert Decimal to Binary
- Divide the decimal number by 2
- Write the remainder
- Divide the quotient again by 2
- Repeat until the quotient becomes 0
- Read remainders from bottom to top
Example: Convert 25 (Decimal) to Binary and Table
Decimal to Binary Conversion Table
| Decimal | Binary |
|---|---|
| 1 | 1 |
| 2 | 10 |
| 3 | 11 |
| 4 | 100 |
| 5 | 101 |
| 6 | 110 |
| 7 | 111 |
| 8 | 1000 |
| 9 | 1001 |
| 10 | 1010 |
| 16 | 10000 |
FAQ on Calculator
Decimal to binary conversion is the process of changing a decimal number (base-10) into a binary number (base-2) using only 0s and 1s.
Computers use binary numbers because electronic circuits can easily represent two states: ON (1) and OFF (0).
The easiest way is the division by 2 method, where you divide the number by 2 repeatedly and read the remainders from bottom to top.