Binary Calculator
Add, subtract, multiply and divide binary numbers with this free online binary calculator, plus AND, OR, XOR and bit shifts with hex, octal and decimal results.
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How to use Binary Calculator
- 1Choose the number system you're typing in — binary, octal, decimal or hex
- 2Enter two numbers and pick an operation: + − × ÷, AND, OR, XOR or a bit shift
- 3Read the result in all four bases and copy the one you need
Frequently asked questions
How do you add binary numbers?▾
Add column by column from the right, carrying 1 whenever a column adds up to 2: 1 + 1 = 10. For example 1011 (11) + 110 (6) = 10001 (17).
How does binary division work here?▾
It's integer division: the quotient is shown with the remainder. 1011 ÷ 11 (11 ÷ 3) gives 11 remainder 10 (3 remainder 2).
What do AND, OR and XOR do?▾
They compare numbers bit by bit: AND gives 1 only where both bits are 1, OR where at least one is 1, and XOR where the bits differ. 1100 XOR 1010 = 0110.
Is there a size limit?▾
No practical limit — numbers use arbitrary-precision integers, so results with hundreds of digits stay exact.
Embed Binary Calculator on your website▾
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