How do I add two binary numbers?

Enter both operands, choose Add, and read the binary result. Internally each operand is parsed to a number, summed, and converted back to binary — for example 1010 + 0110 = 10000 (10 + 6 = 16).

Does division give a remainder?

No. Division returns the integer quotient (floor) of A ÷ B. To see remainders, use a modulo tool instead — this calculator focuses on whole-number binary arithmetic.

What is the difference between addition and bitwise OR?

Addition carries between bit positions, so 1 + 1 = 10. Bitwise OR has no carry — it sets each output bit if either input bit is 1, so 1 OR 1 = 1.

What do bitwise AND, OR and XOR do?

AND outputs 1 only where both bits are 1; OR outputs 1 where at least one bit is 1; XOR outputs 1 where exactly one bit is 1. They compare operands bit by bit with no carry.

Can it handle very large binary numbers?

Yes. Operands are parsed as arbitrary-precision integers (BigInt), so long binary strings compute exactly with no 32-bit or 64-bit overflow.

What happens if I type a non-binary digit?

The calculator only accepts 0 and 1. Any other character makes the operand invalid and it asks you to enter binary digits.

Is anything uploaded?

No. All computation runs in your browser; nothing is sent to a server.

Binary Arithmetic Calculator

Binary arithmetic calculator

Run arithmetic and bitwise operations on two binary numbers: add, subtract, multiply, divide (integer quotient), plus the bitwise AND, OR and XOR. Every result is shown at once in binary, decimal and hexadecimal — useful for learning binary maths or debugging bit flags.

How it works

Each operand is validated to contain only 0 and 1, then parsed into an arbitrary-precision integer (BigInt) by accumulating value × 2 + bit. The selected operation is applied directly to those integers — +, −, ×, integer ÷, or the bitwise &, |, ^. The result is then formatted back into binary, decimal and hex. Because BigInt is used, even long strings compute exactly with no overflow.

Example

With A = 1010 (10) and B = 0110 (6):

Operation	Binary	Decimal	Hex
Add	`10000`	16	0x10
Subtract	`100`	4	0x4
Multiply	`111100`	60	0x3C
Divide	`1`	1	0x1
AND	`10`	2	0x2
OR	`1110`	14	0xE
XOR	`1100`	12	0xC

Everything runs locally in your browser — nothing is uploaded.