Converts decimal (base 10) numbers to binary (base 2) representation. Binary is the fundamental number system used by computers, where every value is expressed using only 0s and 1s. This tool also shows the equivalent in hexadecimal, octal, Roman numerals, and scientific notation.
Decimal to Binary Converter
Convert base-10 numbers to binary (base 2)
How to decimal to binary
- 1.Enter a decimal number in the input field.
- 2.The binary equivalent and all other bases appear instantly.
- 3.Use the base selector to switch your input format.
- 4.Click Copy next to any result to grab it.
About This Tool
Frequently Asked Questions
Divide the decimal number by 2 repeatedly, recording the remainder each time. Read the remainders from bottom to top. For example, 13 in decimal is 1101 in binary.
JavaScript safely handles integers up to 2^53 - 1 (9,007,199,254,740,991). Numbers larger than this may lose precision.
Computers process all data as binary — sequences of 0s and 1s representing on/off states in transistors. Understanding binary is fundamental to computer science.