How do I add two binary numbers?

Enter both binary numbers, choose the + (add) operation, and the result appears instantly in binary, decimal, and hex. Internally the calculator converts each input to an arbitrary-precision integer, performs the operation, then converts back to binary — so there's no overflow even on very large numbers.

Can this calculator handle very large binary numbers?

Yes. It uses JavaScript's BigInt type internally instead of regular numbers, so there's no 32-bit or 53-bit overflow — you can work with binary numbers hundreds of digits long.

What operations does this binary calculator support?

Addition, subtraction, multiplication, integer division with remainder, and the bitwise AND, OR, and XOR operations.

What happens with binary subtraction that goes negative?

If the second number is larger than the first, the result is shown as a negative value with a leading minus sign (e.g. -101), not two's-complement wraparound — this keeps the decimal and hex readouts intuitive to check by hand.

Binary Calculator

Add, subtract, multiply, divide, or run bitwise ops on binary numbers.

This free online binary calculator performs arithmetic and bitwise operations on binary numbers of any size, showing the result in binary, decimal, and hexadecimal at once. Built on arbitrary-precision integers, so there's no overflow. No signup required, runs entirely in your browser.

How to use this binary calculator

A binary calculator performs arithmetic directly on base-2 numbers instead of converting to decimal first. Enter two binary values (digits 0 and 1 only) into Value A and Value B, pick an operation, and the result updates instantly — shown in binary, decimal, and hexadecimal so you can cross-check the math however you think about it.

Under the hood, this tool converts each input to a JavaScript BigInt, performs the operation with arbitrary precision, then converts the result back to a binary string. That means no 32-bit overflow — you can add, multiply, or bitwise-combine binary numbers hundreds of digits long and still get an exact result.

Supported operations

Add / Subtract / Multiply — standard arithmetic. Subtraction that would go negative shows a minus sign rather than wrapping around, so the decimal readout stays intuitive.
Divide — integer division; the remainder is shown alongside the quotient.
AND / OR / XOR — bitwise operations, useful for masking, flag-checking, and low-level debugging.

Binary arithmetic by hand

Binary addition follows the same carry logic as decimal addition, just with only two digits: 0+0=0, 1+0=1, 1+1=10 (write 0, carry 1). For example, 1010 (10) + 11 (3) = 1101 (13). Multiplication works the same way as long multiplication in decimal, but each partial product is either the multiplicand itself (if the digit is 1) or zero (if the digit is 0).

Frequently asked questions

Enter both binary numbers, choose the + operation, and the result appears instantly in binary, decimal, and hex.

Yes. It uses BigInt internally instead of regular numbers, so there's no overflow even on binary numbers hundreds of digits long.

Addition, subtraction, multiplication, integer division with remainder, and bitwise AND, OR, and XOR.

The result is shown as a negative value with a leading minus sign, not two's-complement wraparound — keeping the decimal and hex readouts intuitive.

No. Every calculation runs locally with JavaScript in your browser. Nothing is uploaded or stored on a server.