Calculate binary addition, subtraction, multiplication, division, and bitwise logic with instant BigInt precision, multi-base conversions, and step-by-step bit carry breakdown.
Enter two binary values to view bit-by-bit calculation explanation.
The Binary Calculator by VibeTool is a versatile online tool that allows software developers, computer engineering students, and electronics hobbyists to execute arithmetic and bitwise logic operations on binary numbers (Base-2) in real-time. Operating with native JavaScript BigInt architecture, this tool handles arbitrarily large numbers with zero rounding error, zero server latency, and 100% in-browser security.
Binary calculation uses base 2, containing only two digits: 0 and 1. Here is the fundamental reference table for binary addition:
| Operation | Result | Carry Bit | Decimal Equivalent |
|---|---|---|---|
0 + 0 | 0 | No carry (0) | 0 + 0 = 0 |
0 + 1 | 1 | No carry (0) | 0 + 1 = 1 |
1 + 0 | 1 | No carry (0) | 1 + 0 = 1 |
1 + 1 | 0 | Carry 1 to next column | 1 + 1 = 2 (in binary: 10) |
1 + 1 + 1 (with carry) | 1 | Carry 1 to next column | 1 + 1 + 1 = 3 (in binary: 11) |
&): Returns 1 only if both corresponding bits are 1. Useful for masking specific bits.|): Returns 1 if either corresponding bit is 1. Useful for setting flags.^): Returns 1 if the corresponding bits are different. Essential in cryptography and checksum calculations.~ / One's Complement): Inverts every bit from 0 to 1 and from 1 to 0.<<): Shifts bits to the left, equivalent to multiplying the value by 2n.>>): Shifts bits to the right, equivalent to integer division by 2n.BigInt engine. You can compute binary numbers hundreds of bits long without overflow or precision degradation.
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