Bitwise calculator

Run AND, OR, XOR, shifts and rotates on fixed-width integers in decimal, hex and binary.

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A clear answer. Here’s how.

Values are held as fixed-width two’s complement integers using exact BigInt arithmetic, so 64-bit results are precise. Signed values wrap into the chosen width before the operation. Logical shifts fill with zeros, arithmetic shifts copy the sign bit, and rotates move bits around the edge. Shift and rotate counts run from 0 to the width. The signed output reads the top bit as the sign.

See a worked example

Worked example

A fixed demonstration, separate from the values you enter above.

First value: 0xCA
Operation: XOR (a ^ b)
Second value or shift count: 0b00001111
Bit width: 8 bits

Example result

Result (unsigned): 197
Result (signed, two’s complement): -59
Result (hex): 0xC5
Result (binary): 1100 0101
Result (octal): 0o305
Bits set in result: 4
First value (binary): 1100 1010
Second value (binary): 0000 1111

Values are fixed-width 8-bit two’s complement integers. Negative decimal inputs wrap into that width; rotate and shift counts come from the second value.