# Binary Calculator

> Convert numbers between binary, octal, decimal, and hexadecimal. Perform binary addition, subtraction, multiplication, division, and bitwise operations.

**URL:** https://www.calculatoranswers.com/binary-calculator
**Category:** Education

## Quick Answer

Convert values across binary, octal, decimal, and hexadecimal bases at once, or perform binary arithmetic (addition, subtraction, multiplication, division, AND, OR, XOR), with a carry row shown for addition.

## Definition

A binary calculator is a computational tool for base-2 numerical systems. It converts integers between binary, octal, decimal, and hexadecimal representations, and performs arithmetic and bitwise logical operations (AND, OR, XOR) on binary digit sequences, showing a bit-by-bit carry row for addition and two's complement forms. For subtraction it shows the operands and the result; a borrow row is not produced.

## How to Use

1. **Select mode** — Choose 'Base Conversion' to convert bases, or 'Binary Arithmetic' to perform operations.
2. **Enter numbers** — Type your input numbers. The calculator automatically validates the format for the selected base.
3. **Select operator** — For arithmetic, choose an operator (+, -, ×, ÷, AND, OR, or XOR).
4. **Read result** — View the output in multiple bases or binary and decimal forms, with the addition carry row and two's complement representations.

## Disclaimer

This calculator provides estimates for educational and planning purposes. Always consult a qualified professional for specific advice on financial, medical, legal, or other regulated decisions.

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