Fixed-Width Bit Shift Calculator

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

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

Formula

Left shift discards bits beyond the width; logical right shift fills with zeros.

Example Calculation

Example inputs
  • Unsigned value: 3
  • Bit width: 8
  • Shift count: 2
  • Direction: Left

3 shifted left by 2 positions at width8 is 12 (00001100₂).

Frequently asked questions

How do I use this calculator?

Enter unsigned value, bit width, shift count, direction. The result updates automatically. Use Reset to restore the example values.

What method does it use?

Left shift discards bits beyond the width; logical right shift fills with zeros.. Unsigned logical shifts; width 1–256. Left overflow is deliberately discarded.

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.