How do I add two binary numbers here?

Type the first number in field A, the second in field B, and leave the operation on Add. The tool adds them with BigInt and shows the sum. For example 1010 + 11 carries through the low bits to give 1101, which is 10 + 3 = 13 in decimal. The decimal line under the result lets you confirm the carry was handled correctly without doing it on paper.

How does binary multiplication work in this tool?

Multiplication in base two is shift-and-add, but you do not have to line up partial products by hand here. Enter both factors and switch the operation to Multiply. For example 101 times 11 equals 1111, because 5 times 3 is 15 and 15 in binary is 1111. The decimal and hex views update alongside so you can sanity-check the product against the value you expected.

What do the quotient and remainder mean in binary division?

Division in base two gives a whole-number quotient plus whatever is left over. For example 1010 divided by 11 gives a quotient of 11 and a remainder of 1, because 10 divided by 3 is 3 remainder 1. The tool shows both lines so you never lose the leftover bits. If the divisor is 0 the result is undefined and the tool shows a clear error instead of a wrong answer.

How do I check a binary answer against decimal?

Every result is printed in binary, decimal, hexadecimal and octal at the same time. After adding 1010 and 11 you will see 1101 next to its decimal 13, so you can confirm the bit math matches the ordinary arithmetic you already know. This four-way view is the fastest way to catch a dropped carry or a flipped bit while you are learning.

How is this different from a bitwise calculator?

A bitwise calculator does AND, OR, XOR and shifts, which operate on bits independently with no carry between columns. This tool does ordinary arithmetic in base two, where addition carries and subtraction borrows across columns just like decimal. If you want logic gates and masks use the bitwise calculator; if you want 1010 plus 11 to equal 1101 you want this one.

Can it handle negative binary numbers and very large values?

Yes. Put a minus sign in front of a number, such as -101, and subtraction or addition treats it as a signed value, printing a leading minus on the result rather than a two's-complement pattern. Because the engine uses BigInt there is no size limit that matters in practice, so a 256-bit product stays exact to every digit instead of rounding off like a floating-point number would.

Check your computer-architecture homework

A CS assignment asks you to add 11010110 and 1011 in binary and show the result. Type both numbers, read 11100001 with its decimal 225 next to it, and you can verify each carry instead of guessing. The decimal line is the answer key built in, so you catch a dropped carry before you hand the worksheet in rather than after it comes back marked.

Sanity-check a value in low-level code

You are debugging firmware and a register should hold the sum of two binary literals from a datasheet. Paste both into the calculator, read the sum in hex as well as binary, and compare it to what the chip actually reports. Seeing the same number in four bases at once makes a one-bit mismatch obvious in a way a single binary string never does.

Teach base-two arithmetic in a classroom

Demonstrating long division in binary on a whiteboard is slow and error-prone. Put 1010 divided by 11 into the tool, show the class the quotient 11 and remainder 1, then change the numbers live to build intuition. Share the URL with students afterwards and the exact worked example reopens for everyone in their own browser.

Convert and combine in one step

You have two binary masks and need the product in hexadecimal for a config file. Instead of converting each to decimal, multiplying, and converting back, enter both binary numbers, switch to Multiply, and copy the hex line straight out. The four-base output saves a round trip through a separate converter.

Binary Calculator: Add, Subtract, Multiply, Divide

Add, subtract, multiply and divide two binary numbers, exact BigInt math, results in binary, decimal, hex and octal, browser-only

Runs locally
Category Developer & DevOps
Best for Formatting, validating, shrinking, or inspecting code-adjacent text.

Binary number AOnly 0 and 1 — a leading minus is allowedBinary number BOnly 0 and 1 — a leading minus is allowed

Operation

Result

Binary1101

Decimal13

Hexd

Octal15

Every operation runs on BigInt, so binary numbers of any length stay exact. Nothing you type leaves your browser.

What this tool does

A free binary calculator for the four basic operations on binary numbers: addition, subtraction, multiplication and division. Type two binary values made of 0 and 1, pick add, subtract, multiply or divide, and read the answer instantly. Division returns both a quotient and a remainder, the way long division in base two actually works. Every calculation runs on JavaScript BigInt, so a 200-bit number stays exact to the last digit instead of rounding the way an ordinary float would. Each result is shown four ways at once, in binary, decimal, hexadecimal and octal, so you can cross-check the bit pattern against the value you expected. Negative results use a leading minus sign rather than a two's-complement wrap, which is easier to read when you are checking work by hand. One click copies any line, and the shareable URL carries both numbers and the operation so a link reopens the exact problem. 100% client-side, nothing you type is uploaded.

Tool details

Input: Form fields; The page exposes text boxes, numeric controls, file pickers, or structured inputs depending on the tool.
Output: Live result + Copy; The result area focuses on usable output, with copy, download, or preview actions when supported.
Privacy: Browser-side processing; The main tool logic does not call an external API, so inputs normally stay in the current tab.
Save / share: Shareable URL state; Key settings are encoded in the URL so another person can reopen the same setup.
Performance budget: Initial JS <= 9 KB; No WASM budget is declared, keeping the tool quick to open on mobile.
Best fit: Developer & DevOps · Developer; Category and role tags drive related tools, internal links, and quick fit checks.

How to use

1. Input

Paste or drop your content into the tool panel.
2. Process

Click the button. All processing is local in your browser.
3. Copy / Download

Copy the result or download to disk in one click.

How Binary Calculator fits into your work

Use it in the small gaps between coding, reviewing, debugging, and shipping.

Developer jobs

Formatting, validating, shrinking, or inspecting code-adjacent text.
Preparing snippets for documentation, tickets, commits, or handoff.
Checking a small payload quickly without switching tools.

Developer checks

Run irreversible transforms like minify or obfuscate on a copy.
Keep secrets out of pasted snippets unless the tool explicitly stays local.
Use your normal tests or linter before shipping transformed code.

Good next steps

These links move the current task into a more complete workflow.

Real-world use cases

Check your computer-architecture homework
A CS assignment asks you to add 11010110 and 1011 in binary and show the result. Type both numbers, read 11100001 with its decimal 225 next to it, and you can verify each carry instead of guessing. The decimal line is the answer key built in, so you catch a dropped carry before you hand the worksheet in rather than after it comes back marked.
Sanity-check a value in low-level code
You are debugging firmware and a register should hold the sum of two binary literals from a datasheet. Paste both into the calculator, read the sum in hex as well as binary, and compare it to what the chip actually reports. Seeing the same number in four bases at once makes a one-bit mismatch obvious in a way a single binary string never does.
Teach base-two arithmetic in a classroom
Demonstrating long division in binary on a whiteboard is slow and error-prone. Put 1010 divided by 11 into the tool, show the class the quotient 11 and remainder 1, then change the numbers live to build intuition. Share the URL with students afterwards and the exact worked example reopens for everyone in their own browser.
Convert and combine in one step
You have two binary masks and need the product in hexadecimal for a config file. Instead of converting each to decimal, multiplying, and converting back, enter both binary numbers, switch to Multiply, and copy the hex line straight out. The four-base output saves a round trip through a separate converter.

Common pitfalls

Typing a digit other than 0 or 1. A stray 2 or a copy-pasted letter makes the input invalid and the tool refuses to compute. Binary uses only two symbols, so 102 is not a binary number; the field turns red until you fix it.
Confusing binary arithmetic with bitwise logic. Adding 1 and 1 gives 10 because the column carries, but a bitwise OR of 1 and 1 gives 1 with no carry. If your sum looks one bit too short you are probably thinking of a logic gate, not addition.
Ignoring the remainder in division. 1010 divided by 11 is not simply 11; it is 11 with a remainder of 1. Reading only the quotient and dropping the remainder is the most common base-two division error, so the tool always shows both lines.

Privacy

Every operation, the add, the subtract, the multiply, the divide and all four base conversions, is plain JavaScript that runs inside your browser tab. The numbers you type are never sent to a server and nothing is logged. The one caveat: the shareable URL encodes both operands and the operation in the query string, so a link you paste into chat will record those numbers in the recipient server's access log. If the values are sensitive, use the copy button and paste the result text instead of sharing the URL.

FAQ

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Binary Calculator: Add, Subtract, Multiply, Divide

Result

What this tool does

Tool details

How to use

1. Input

2. Process

3. Copy / Download

How Binary Calculator fits into your work

Developer jobs

Developer checks

Good next steps

Real-world use cases

Check your computer-architecture homework

Sanity-check a value in low-level code

Teach base-two arithmetic in a classroom

Convert and combine in one step

Common pitfalls

Privacy

FAQ

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