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Number Base Converter

Decimal to Binary Converter

Convert any decimal (base 10) number to binary (base 2). Type a decimal value and the binary form appears immediately, along with octal, hex, and the bit length. Everything runs in your browser.

Worked example

13 (decimal)1101 (binary)

13 = 8 + 4 + 1, which sets the 8, 4, and 1 bits: 1101. Repeatedly divide by 2 and read the remainders bottom-up to get the same result.

Conversion details will appear here

Frequently asked questions

How do you convert decimal to binary by hand?

Divide the number by 2 repeatedly, writing down each remainder. The binary value is the remainders read from last to first.

What is 10 in binary?

Decimal 10 is 1010 in binary (8 + 2).