Binary Calculator

Binary Calculator. Add, subtract, and multiply binary numbers online — free base-2 arithmetic calculator with instant results. Perform binary addition, binary subtraction, and binary multiplication instantly with our free online binary calculator.

Enter any two binary numbers (using 0s and 1s), choose your operator, and get the result in base-2 format immediately. Supports arbitrarily large numbers via BigInt for accurate results without overflow errors.

Perfect for computer science students, digital logic designers, and embedded systems developers who need fast and reliable binary arithmetic.

Our binary number calculator runs entirely in your browser — no data is ever sent to a server, making it completely private. Results update in real time as you type, and you can copy the computed value with one click.

Whether you need to verify binary addition, check binary subtraction results, or compute binary multiplication, this tool handles it all instantly. Related tools include the Integer base converter and the Bitwise calculator for adjacent number system tasks.

Frequently asked questions

How do I add two binary numbers?

Type the first number in the top field and the second in the bottom field using only 0 and 1, and keep the operator set to +. The sum appears in the Result bar, for example 1010 + 0110 = 10000, and Copy Result copies it.

Which operations does the binary calculator support?

Binary addition (+), subtraction (-) and multiplication (x). Division is not included; for AND, OR, XOR and bit shifts, use the Bitwise Calculator.

How are negative results shown in binary subtraction?

When the second number is larger, the result is shown with a minus sign in front of the binary value, for example 0110 - 1010 = -100. It is not shown in two's complement form.

Why does it say Invalid Binary Input?

Each field must contain only the digits 0 and 1. Spaces between digits, decimal points, prefixes like 0b or an empty field trigger the message; leading and trailing spaces are ignored.

Is there a size limit for binary numbers?

There is no fixed limit. The calculator uses JavaScript BigInt, so very long binary numbers are added, subtracted and multiplied exactly, without overflow or rounding.

How to use this online tool

Binary Calculator is designed for fast browser workflows when you need to format, validate, convert, decode, encode, generate, or inspect data without opening a heavy desktop app. Start with the input field or visible options, review the result, then copy or download the output for the next step.

Private processing in your browser

Binary Calculator keeps the normal processing step local in your browser. That is useful for code snippets, tokens, documents, configuration values, text samples, and other material that should not be sent to a remote service unless you explicitly choose to share it.

When this tool is useful

Use Binary Calculator for repeatable developer tasks, technical documentation, QA checks, quick conversions, debugging, content cleanup, and internal team workflows. The page focuses on clear inputs, immediate feedback, and output that is easy to reuse in code, reports, tickets, emails, or notes.

Practical tips

Before copying the final result, check important details such as spacing, casing, filenames, encoding, token structure, line breaks, or output format. Small checks prevent mistakes when the result is reused in source code, API requests, documentation, spreadsheets, or shared files.