Fixed-Width Bitwise Calculator

Signed decimal integer, at most 200 digits; no decimal point or exponent notation.
Signed decimal integer, at most 200 digits; no decimal point or exponent notation.
Enter bit width.
Enter operation.
Math

Fixed-Width Bitwise with stated conventions, validation and a worked example.

Formula

Apply the Boolean operation per bit, then mask to the selected unsigned width.

Example Calculation

Example inputs
  • Unsigned integer A: 12
  • Unsigned integer B: 10
  • Bit width: 8
  • Operation: AND

At width8, 12 AND 10 is 8 (00001000₂).

Frequently asked questions

How do I use this calculator?

Enter unsigned integer a, unsigned integer b, bit width, operation. The result updates automatically. Use Reset to restore the example values.

What method does it use?

Apply the Boolean operation per bit, then mask to the selected unsigned width.. Unsigned operands only; negative numbers and implicit signed 32-bit truncation are not used.

Why might a rounded result differ?

The calculation keeps full numeric precision internally, then rounds the displayed result. Rounding intermediate steps by hand can produce a slightly different answer.

Are my inputs saved online?

No. This calculator processes your inputs in your browser. A recently used list stores only calculator names on this device, not your entered values.

Check the assumptions and units before using this result. Read about calculation methods.