Binary addition
1011 + 11010001 (17 decimal)
Binary Calculator
Use this free binary calculator for base-2 addition, subtraction, multiplication, division with remainders, binary-to-decimal conversion, decimal-to-binary conversion, steps, copy, and history.
Binary arithmeticDecimal conversionRemaindersCopy 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.
Quick conversions
4210 1010Recent answers
Recent binary answers will appear here.
Input tips
Use only 0 and 1. Spaces are allowed for readability, such as 1111 0000.
Division shows a quotient and remainder when the binary numbers do not divide evenly.
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 that 1011 + 110 equals 10001, or 17 in decimal.
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.
Use grouped bit strings such as 1111 0000 without changing the value.
Quick examples
Binary subtraction
10000 - 11111 (15 decimal)
Binary multiplication
101 x 111111 (5 x 3 = 15 decimal)
Binary division
1101 / 10110 remainder 1 (6 remainder 1 decimal)
Binary to decimal
10101042 decimal
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 CalculatorSee slower examples, input meanings, formula notes, result limits, and mistakes to avoid.
- CalculatorsBrowse related calculators and utilities in the same category.
- Calculator and utility guidesFind more guides that use real tool inputs and example numbers.
- All free toolsSearch 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.
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.
How does the Binary Calculator check the math?
It reads each binary input as a base-2 whole number, performs the operation, then converts the result back to binary. The decimal answer is shown beside it so you can sanity-check the same value in base 10.
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.
Why does 1111 0000 equal 240 in decimal?
Spaces are only grouping helpers. The value is 11110000, which uses the 128, 64, 32, and 16 places: 128 + 64 + 32 + 16 = 240.
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.
What should I double-check before trusting a binary result?
Check that binary inputs use only 0 and 1, that grouped spaces or underscores are only for readability, that decimal values are entered in the decimal conversion field, and that you are not expecting fixed-width overflow or two's complement behavior.
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.