Decimal to Binary Converter

The Decimal to Binary Converter is a tool that allows you to convert decimal numbers (base-10) to binary numbers (base-2). Decimal is our standard number system using digits 0-9, while binary uses only 0 and 1, which is the fundamental language of computers and digital systems.

How to use this converter:

1. Enter one or more decimal numbers in the input field (separated by spaces)
2. Click the "Convert to Binary" button or enable auto-processing
3. View the binary equivalent in the output field

Examples:

• 10 in decimal = 1010 in binary
• 12 in decimal = 1100 in binary
• 255 in decimal = 11111111 in binary

How decimal to binary conversion works:

To convert a decimal number to binary, you divide the number by 2 repeatedly and record the remainders in reverse order. For example, to convert decimal 10 to binary:

10 ÷ 2 = 5 remainder 0
5 ÷ 2 = 2 remainder 1
2 ÷ 2 = 1 remainder 0
1 ÷ 2 = 0 remainder 1

Reading the remainders from bottom to top: 1010

This converter handles multiple decimal numbers at once and provides instant conversion results.