User Guide
- Input Section:
- Enter the decimal number in the text area labeled "Decimal Numbers".
- Use the "Clear" button beneath the input field to erase your entry if needed.
- Output Section:
- The converted binary number will be displayed in the output area.
- Use the "Copy" button below the output area to copy the binary result to your clipboard.
Decimal (base-10) is the standard numerical system used in everyday life. Binary (base-2) is a number system consisting of only 0s and 1s, commonly used in computer systems for data representation and processing.
Conversion Method
Steps to Convert
- Divide the decimal number by 2.
- Record the remainder (0 or 1). This represents the least significant bit (LSB).
- Divide the quotient by 2 and repeat until the quotient is 0.
- Write the remainders in reverse order (from last to first) to get the binary equivalent.
Example
Convert 2510 (decimal) to binary:
Equation | Result | Remainder |
25÷2 | 12 | 1 |
12÷2 | 6 | 0 |
6÷2 | 3 | 0 |
3÷2 | 1 | 1 |
1÷2 | 0 | 1 |
Write the remainders in reverse order: 11001
Result: 2510 = 110012 = 110012