Binary Calculator

What is a Binary Calculator? What functions does it include?

A binary calculator is a specialized tool designed for handling binary value operations and base conversions, primarily serving fields such as computer science, digital circuit design, and programming. It can perform not only conventional mathematical operations but also handle computer-specific bitwise operations and conversions between different number bases.

Core Functions:
Arithmetic Operations:
Basic Operations: Addition (+), Subtraction (-), Multiplication (×), Division (÷)

Advanced Operations: Exponentiation (^)
Bitwise Operations:
AND (&): 1010 & 1100 = 1000
OR (|): 1010 | 1100 = 1110
NOT (~): ~1010 = 0101 (bitwise negation)
XOR (^): 1010 ^ 1100 = 0110
Shift Operations: Left Shift (<<), Right Shift (>>)

Base Conversion:
Supports mutual conversion between binary (base 2), decimal (base 10), and hexadecimal (base 16)
Real-time display of results in all three bases

Special Features:
Automatic base prefix detection (0b prefix for binary, 0x prefix for hexadecimal)
Single-operation calculations (e.g., bitwise NOT requires only one input value)
Large integer handling (supports calculations with values exceeding 32 bits)

Error Handling:
Division-by-zero detection
Invalid input recognition
Overflow alerts

How to Use the Binary Calculator?

1. Enter Data:
Input a value (e.g., 25) in the "First Number" field and select its base (default is decimal).
Input another value (e.g., 3) in the "Second Number" field and select its base (default is decimal).
2. Select Operation:
Note: When selecting "not(~)", the second input field will be automatically disabled.
3. Execute Calculation: Click the "Calculate" button to trigger the operation. The system automatically converts bases → performs calculation → converts result.
4. Retrieve Results:
Binary result: 11001 (binary representation of 25)
Decimal result: 25
Hexadecimal result: 0x19

Binary Calculator Usage Examples

Example: 25 AND 3
Input first number: 25 (decimal)
Operation selected: AND (&)
Input second number: 3 (decimal)
Click "Calculate"
Result:
Binary: 00000000000000000000000000000001
Decimal: 1
Hexadecimal: 0x1
Base Conversion Example:
Input: 0b1101 (binary)
Convert to decimal: 13
Convert to hexadecimal: 0xD
Special Techniques:
Fast Input:
Binary: Directly enter 0b1010
Hexadecimal: Enter 0xFF
Shift Operations:
8 << 2 = 32 (left shift by 2 bits is equivalent to ×4)
16 >> 1 = 8 (right shift by 1 bit is equivalent to ÷2)
Bitwise Operations:
Odd/Even Check: num & 1 (result is 1 for odd numbers)
Bit Flipping: num ^ 0b1111
Error Handling:
When entering non-numeric values, display "Input Error"
When dividing by zero, display "Division by Zero Error"
Support Features:
Reset: Clear all input fields
Examples: Auto-load example (1011 + 1100)
This tool is especially suitable for developers performing bit masking operations, hardware register configuration, cryptographic algorithm implementation, and other scenarios requiring precise bit-level control. By enabling instant base conversion and visualized results, it significantly improves the efficiency of binary calculations.