Calculator

Frequently Asked Questions

What is a binary calculator?

A binary calculator is a specialized tool that performs arithmetic operations, bitwise operations, and number system conversions on binary numbers. It supports conversions between binary, decimal, hexadecimal, and octal number systems.

How do I convert binary to decimal?

Enter your binary number in the input field, select 'Number Conversion' as the operation, and click Calculate. The calculator will display the decimal equivalent along with hexadecimal and octal conversions.

What are bitwise operations?

Bitwise operations perform logical operations on individual bits of binary numbers. Common operations include AND (&), OR (|), XOR (^), NAND, NOR, and NOT (~). These are fundamental in computer science and digital electronics.

Can I perform binary arithmetic?

Yes! The calculator supports binary addition, subtraction, multiplication, and division. Simply select the arithmetic operation, enter your binary numbers, and get results with step-by-step solutions.

What number bases are supported?

The calculator supports four number bases: Binary (base 2), Decimal (base 10), Hexadecimal (base 16), and Octal (base 8). You can input numbers in any base and see results in all bases.

User Guide

How to Use

  1. Select the input number base (Binary, Decimal, Hex, or Octal)
  2. Choose the operation you want to perform
  3. Enter your numbers in the selected base
  4. Click 'Calculate' to see results in all number bases
  5. View bit comparison charts and step-by-step solutions

Features

  • Binary arithmetic: Addition, Subtraction, Multiplication, Division
  • Bitwise operations: AND, OR, XOR, NAND, NOR, NOT
  • Bit shifts: Left shift (<<), Right shift (>>)
  • Number conversion: Convert between Binary, Decimal, Hex, and Octal
  • Bit visualization: See individual bits in charts
  • Multi-base display: Results shown in all number bases
  • Step-by-step solutions for all operations

Number Format Examples

Binary: 1010, 0b1010, 1010 1010
Decimal: 10, 42
Hexadecimal: A, 0xA, FF, 0xFF
Octal: 12, 0o12, 777

Supported Operations

Arithmetic

  • + 新增
  • - Subtraction
  • × Multiplication
  • ÷ Division

Bitwise

  • & AND
  • | OR
  • ^ XOR
  • ~ NOT

Bit Shifts

  • << Left Shift
  • >> Right Shift

Conversion

  • Convert between all bases

Important Notes

  • Binary numbers can include spaces for readability (e.g., '1010 1010')
  • Prefixes are optional: 0b for binary, 0x for hex, 0o for octal
  • Bitwise operations work on 32-bit integers
  • Negative numbers use two's complement representation
  • Division by zero is not allowed
  • Shift operations require non-negative shift amounts