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Decimal to Binary Converter

Convert decimal numbers to binary instantly. Shows step-by-step division method and grouped binary output.. Gratuit, sans inscription, fonctionne dans votre navigateur.

À propos de Decimal to Binary Converter

This decimal to binary converter transforms base-10 decimal numbers into base-2 binary representation. Enter any non-negative integer and instantly see the binary equivalent. The tool shows the step-by-step division-by-2 method so you can follow the conversion process. Output is displayed with optional 4-bit or 8-bit grouping for readability. Also shows hexadecimal and octal representations. Supports integers up to JavaScript's safe integer limit (9,007,199,254,740,991). All conversion happens locally in your browser.

Questions fréquentes

How does decimal to binary conversion work?
Repeatedly divide the number by 2 and record the remainder. The binary number is formed by reading the remainders from bottom to top. For example, 11 ÷ 2 = 5 remainder 1, 5 ÷ 2 = 2 remainder 1, 2 ÷ 2 = 1 remainder 0, 1 ÷ 2 = 0 remainder 1. Reading remainders bottom-up: 1011.
What is the largest number I can convert?
The converter supports integers up to 9,007,199,254,740,991 (2^53 - 1), which is JavaScript's maximum safe integer.
Can I group the binary output?
Yes. You can display the binary output ungrouped, in 4-bit nibbles, or in 8-bit bytes for easier readability.

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