Calculadora Binária
- Created by
- Renato Passos, Eng. de Software
- Reviewed by
- Renato Passos, Eng. de Software
Last updated: Apr 18, 2026
Formula
converte decimal em base 2/8/16
About this calculator
The Binary Calculator converts decimal numbers (from 0 to 2^31) into their binary and hexadecimal representations. The process uses successive divisions by 2 to obtain the bit sequence and groups of 4 bits to generate the hexadecimal. Ideal for computer science students or enthusiasts who need to understand base conversion.
How it works: enter an integer decimal number, and the tool automatically calculates the binary (base 2) and hexadecimal (base 16) equivalents. Binary conversion is done by repeatedly dividing the number by 2, recording the remainders from bottom to top. Hexadecimal is obtained by grouping bits into sets of four and converting each group to the corresponding symbol (0-9, A-F).
Use this calculator when you need to quickly check the binary representation of a decimal number, for example, when programming in low-level languages or studying digital systems. It is also useful for verifying manual conversions or understanding the relationship between bases. Avoid using it for fractional numbers, as the tool only accepts integers.
Be careful with negative numbers: the calculator does not support negatives, as the range is 0 to 2^31. Also, very large numbers may exceed this limit. Always ensure the value is within the allowed range to get correct results.
Frequently asked questions
What does binary mean?
Binary is a number system that uses only two digits: 0 and 1. It is the foundation of computing, where each digit represents a bit.
Can I convert negative numbers?
No, this calculator only accepts numbers from 0 to 2^31. For negatives, two's complement would be needed, which is not implemented.
What is the difference between hexadecimal and binary?
Hexadecimal is base 16 using digits 0-9 and letters A-F, representing 4 bits at once. Binary is base 2, longer but more direct for hardware.
Is there a bit limit for the binary result?
Yes, since the maximum is 2^31, the binary will have at most 32 bits (including the most significant bit).
Why is hexadecimal useful?
It compresses long binary sequences into a more readable form. For example, 1111 1111 in binary becomes FF in hexadecimal.