Binary Calculator

What is Binary Calculator?

Binary Calculator performs arithmetic and bitwise operations directly on binary numbers, displaying results in binary, decimal, hexadecimal, and octal simultaneously. It supports addition, subtraction, multiplication, division, and all bitwise operations including AND, OR, XOR, NOT, left shift, and right shift. The tool visualizes bit-level operations by showing each bit position and how carries propagate, making it invaluable for understanding low-level computation.

Embedded systems programmers manipulating hardware registers, network engineers calculating subnets, and computer science students studying binary arithmetic. The tool runs entirely in your browser — your data never leaves your device.

How to Use Binary Calculator

1. Enter the first binary number in the input field — prefix with 0b or just type 1s and 0s
2. Select the operation — arithmetic (+, -, *, /) or bitwise (AND, OR, XOR, NOT, shifts)
3. Enter the second operand (not needed for NOT or when shifting by a fixed amount)
4. View results in all four bases (binary, decimal, hex, octal) and the bit-level visualization

Common Use Cases

• Computing subnet masks and network addresses using binary AND operations
• Verifying bitwise flag combinations in permission systems or feature toggles
• Debugging bit manipulation code by checking expected vs actual binary results
• Learning binary arithmetic with visual carry propagation for educational purposes

Pro Tips

• Left shifting by N positions is equivalent to multiplying by 2^N, and right shifting divides by 2^N — compilers optimize multiplication by powers of 2 into shifts automatically
• XOR with the same value twice returns the original — this is the basis of simple encryption and the classic swap-without-temp-variable trick
• When working with signed integers, arithmetic right shift preserves the sign bit while logical right shift fills with zeros — this distinction causes bugs in many languages

Why Use This Tool?

• Privacy-first: All processing happens locally in your browser. No data is transmitted to any server.
• No installation required: Works in any modern browser on desktop or mobile.
• Completely free: No account, no credit card, no usage caps.
• Fast and reliable: Powered by modern Web APIs for near-instant results.

Related Concepts

Learn more about related topics: Bitwise operations, Two's complement, Bit masking, Logical shift.

Frequently Asked Questions