What is a number base?

A number base (or radix) is the number of unique digits used in a positional numeral system. Decimal uses base 10 (0-9), binary uses base 2 (0-1), octal uses base 8 (0-7), and hexadecimal uses base 16 (0-9, A-F).

Why is hexadecimal used in computing?

Hexadecimal is widely used in computing because it is a compact representation of binary. Each hexadecimal digit represents exactly 4 binary digits, making it easier for humans to read and write binary data.

How does binary conversion work?

To convert decimal to binary, repeatedly divide by 2 and collect remainders. For example, 10 ÷ 2 = 5 remainder 0, 5 ÷ 2 = 2 remainder 1, 2 ÷ 2 = 1 remainder 0, 1 ÷ 2 = 0 remainder 1, giving 1010 in binary.

Can I convert negative numbers?

Yes! This converter supports negative numbers in all bases. The negative sign is preserved, so -10 in decimal converts to -1010 in binary.

What about fractional numbers?

Fractional numbers can be converted using repeated multiplication. For example, 0.5 decimal = 0.1 binary. Some fractions create repeating patterns (like 0.1 decimal repeating in binary), which are limited to 20 digits.

Conversor de Sistema Numérico

Conversor gratuito de sistema numérico. Converta números entre bases 2 (binário), 8 (octal), 10 (decimal) e 16 (hexadecimal).

Converta entre binário, decimal, octal e hexadecimal.

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