Binary Calculator

Use this free binary calculator for base-2 addition, subtraction, multiplication, division with remainders, binary-to-decimal conversion, decimal-to-binary conversion, copy, and history.

All tools
Binary arithmetic Decimal conversion Remainders Copy results
1011 + 11010001
Decimal answer
17
First decimal
11
Second decimal
6

Steps

  1. 1011 is 11 in decimal.
  2. 110 is 6 in decimal.
  3. Add the decimal values: 11 + 6 = 17.
  4. Convert the answer back to binary: 10001.

How to use the binary calculator

  1. Enter the first binary number using only 0 and 1.
  2. Choose add, subtract, multiply, or divide.
  3. Enter the second binary number, then press Calculate binary.
  4. Review the binary answer, decimal answer, steps, conversions, and recent answers.

Common uses

Check binary addition, subtraction, multiplication, and division homework.

Convert binary values such as 101010 into decimal numbers.

Convert whole decimal numbers into grouped binary output.

See quotient and remainder for binary division problems that do not divide evenly.

Examples

Binary addition 1011 + 110

10001

Binary subtraction 10000 - 1

1111

Binary division 1101 / 10

110 remainder 1

Frequently asked questions

Quick answers about base-2 numbers, arithmetic, division remainders, conversion, and privacy.

What is a binary number?

A binary number is written in base 2, so each digit is either 0 or 1. Each place value is a power of 2 instead of a power of 10.

What can I use the Binary Calculator for?

Use it to add, subtract, multiply, divide, and convert whole binary numbers. It also shows decimal values and simple steps so you can check the work.

Can I enter spaces in a binary number?

Yes. Spaces and underscores are ignored, so you can type grouped values such as 1111 0000 to make longer binary numbers easier to read.

How does binary division work in this calculator?

Binary division returns a whole-number quotient. If the division is not even, the calculator also shows the remainder in binary and decimal.

Does the calculator convert decimal to binary?

Yes. The quick conversions panel converts whole decimal numbers into binary and converts binary numbers back into decimal.

Can this calculator handle negative binary numbers?

Yes, you can use a leading minus sign for simple signed whole-number calculations. It does not use fixed-width two's complement notation yet.

Is my binary calculation history private?

Yes. Recent binary answers stay only in the current browser tab while you use the page. They are not sent to a server.

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