Decimal to Binary Converter

Convert decimal numbers to binary format.

How Decimal to Binary Conversion Works

To convert a decimal number to binary by hand, divide it by 2 repeatedly and write down each remainder; reading the remainders from last to first gives the binary value. For example: 13 ÷ 2 = 6 r1, 6 ÷ 2 = 3 r0, 3 ÷ 2 = 1 r1, 1 ÷ 2 = 0 r1 - so 13 is 1101 in binary. This tool does the whole calculation instantly and also shows octal and hexadecimal equivalents.

Who Uses This Converter

Computer science students verifying homework, programmers working with bit flags and low-level data, networking students calculating subnet masks, and electronics hobbyists reading register values. Instead of manual division chains that invite mistakes, you get the answer in every base at once.

More converters: Binary to Hex · Hex Converter · Octal Converter