1. What Is Binary Arithmetic?

Binary arithmetic involves mathematical operations performed on binary numbers (numbers consisting only of 0s and 1s). It forms the foundation of all digital computer operations and is essential in computer science and digital electronics.

2. How The Binary Calculator Works

The calculator performs binary operations by:

Process:

• Input validation to ensure only binary digits (0,1) are accepted
• Conversion from binary to decimal using PHP's bindec() function
• Arithmetic operation (addition, subtraction, multiplication, division)
• Conversion back to binary using decbin() function

3. Applications Of Binary Operations

Details: Binary arithmetic is fundamental in computer processor design, digital circuit implementation, error detection and correction algorithms, and various computational applications where binary data manipulation is required.

4. Using The Binary Calculator

Tips: Enter valid binary numbers (containing only 0s and 1s), select the desired operation, and click calculate. The calculator will display the result in binary format.

5. Frequently Asked Questions (FAQ)

Q1: What is the maximum binary number length supported?
A: The calculator can handle binary numbers of practical length, though extremely large numbers may be limited by PHP's integer size.

Q2: How does binary division handle remainders?
A: The calculator returns integer results. For division, the result is truncated to an integer value.

Q3: Can I perform bitwise operations with this calculator?
A: This calculator focuses on arithmetic operations. For bitwise operations (AND, OR, XOR, etc.), a dedicated bitwise calculator would be needed.

Q4: What happens if I enter non-binary characters?
A: The input validation will detect invalid characters and display an error message.

Q5: How accurate are the division results?
A: Division results are integer divisions. For floating-point results, the calculator would need additional functionality.