Binary addition
1011 + 11010001
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.
Binary arithmetic Decimal conversion Remainders Copy results
1011 + 11010001
- Decimal answer
- 17
- First decimal
- 11
- Second decimal
- 6
Steps
- 1011 is 11 in decimal.
- 110 is 6 in decimal.
- Add the decimal values: 11 + 6 = 17.
- Convert the answer back to binary: 10001.
How to use the Binary Calculator
- Enter the first binary number using only 0 and 1.
- Choose add, subtract, multiply, or divide.
- Enter the second binary number, then press Calculate binary.
- Review the binary answer, decimal answer, steps, conversions, and recent answers.
What people use it for
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.
Quick examples
Binary subtraction
10000 - 11111
Binary division
1101 / 10110 remainder 1
Need the guide or a nearby tool?
Need a slower walkthrough, a related calculator, or the full library? These links keep you close to the task you started.
- How to use the Binary Calculator See slower examples, input meanings, formula notes, result limits, and mistakes to avoid.
- Calculators Browse related calculators and utilities in the same category.
- Calculator and utility guides Find more guides that use real tool inputs and example numbers.
- All free tools Search every live tool, converter, calculator, AI helper, and browser utility.
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.
What do the main Binary Calculator inputs mean?
The main inputs are the numbers, operation, mode, or known values the calculator needs. Keep units consistent, enter percentages the way the page label shows, and use the examples as a quick check before trusting the answer.
How should I read the Binary Calculator answer?
Read the headline answer, then check the supporting lines and examples to understand how the calculator got there. If one input changes, rerun the tool and compare the new answer instead of guessing.
What should I double-check before trusting the Binary Calculator?
Check units, signs, rounding, and the selected mode before copying the answer. If the number feels weird, rerun one of the examples first, then put your own values back in slowly.
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.