Cálculo Binário e Bits — Calculadora Online Grátis
Binary arithmetic (add, subtract, multiply) with step-by-step conversion and multi-base output
The Binary Calculator performs addition, subtraction, and multiplication directly in binary (base-2), displaying the result alongside its decimal, octal, and hexadecimal equivalents. It shows bit-by-bit working for each operation, making it an ideal learning tool for computer science students studying digital logic, and a practical utility for programmers working with low-level numeric representations.
Frequently Asked Questions
Sobre Esta Calculadora
Binary (base-2) is the native language of digital computers, using only the digits 0 and 1 corresponding to off and on transistor states. Binary arithmetic follows the same rules as decimal but with carries occurring at 2 instead of 10. Addition is the foundational binary operation — subtraction, multiplication, and division are all implemented in terms of addition circuits in real hardware.
This calculator performs binary addition (with full carry propagation), subtraction (using two's complement internally), and multiplication. It converts the binary inputs and result to decimal, hexadecimal (base-16), and octal (base-8) simultaneously, since all three are commonly encountered in programming and computer architecture.
Binary fluency is essential for understanding CPU registers, bitwise operations in code (AND, OR, XOR, bit shifting), memory addressing, IP subnetting, and color codes in web design (where hex is binary shorthand).
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Exemplo Resolvido
Adding binary numbers 1011 and 0110
Entradas:
- First number: 1011 (binary) = 11 (decimal)
- Second number: 0110 (binary) = 6 (decimal)
- Operation: Addition
Passo a Passo:
- Align by least significant bit:
- 1 0 1 1
- + 0 1 1 0
- ─────────
- Bit 0 (rightmost): 1+0 = 1, write 1, carry 0
- Bit 1: 1+1+carry(0) = 10, write 0, carry 1
- Bit 2: 0+1+carry(1) = 10, write 0, carry 1
- Bit 3: 1+0+carry(1) = 10, write 0, carry 1
- Bit 4 (new): carry 1 → write 1
- Result: 1 0 0 0 1 (binary) = 17 (decimal)