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Decimal to Binary Converter

Enter a decimal number to get its binary representation. Understand how computers store numbers and learn binary arithmetic.

Decimal to Binary

Base 10 → Base 2

0b

How to Use the Decimal to Binary Converter

1

Enter a decimal number (e.g. 42).

2

Click Convert.

3

View the binary equivalent.

Frequently Asked Questions

How is decimal converted to binary?
Repeatedly divide by 2 and record remainders. Read the remainders bottom to top: 13 = 1101 in binary.
Can I convert negative numbers?
This tool converts positive integers. Negative numbers in binary use two's complement representation.
What about decimal fractions?
This tool handles whole numbers. Fractional binary representation requires a different process.

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