Binary Calculator
Perform binary arithmetic and convert between number systems. Enter binary numbers, choose an operation, and see results in binary, decimal, octal, and hexadecimal simultaneously.
Understanding Binary Numbers
Binary is a base-2 number system that uses only two digits: 0 and 1. Unlike the decimal system (base-10) we use daily, binary is the language of computers and digital electronics.
Each position in a binary number represents a power of 2. For example, 1101 = 1×2³ + 1×2² + 0×2¹ + 1×2⁰ = 8 + 4 + 0 + 1 = 13 in decimal.
Binary is essential in computer science, networking, digital logic design, and programming. Understanding binary helps you work with low-level computing concepts.
How to Use This Calculator
- Enter the first binary number (using only 0s and 1s)
- Select an operation (+, -, ×, &, |, or ^)
- Enter the second binary number
- Click "Calculate" to see results in binary, decimal, octal, and hexadecimal