Calculator Inputs
Formula Used
AND: result bit is 1 only when A and B are both 1. OR: result bit is 1 when either bit is 1. XOR: result bit is 1 when bits differ. NOT: each bit is flipped inside the selected unsigned width.
Left shift: bits move left and zeros enter on the right. Right shift: zeros enter on the left. Mask: a run of ones is created from the chosen start bit and length. Then AND, OR, XOR, or AND NOT applies that mask.
How To Use This Calculator
- Enter unsigned value A and unsigned value B.
- Choose decimal, hexadecimal, binary, or automatic base detection.
- Select a bit width such as 8, 16, 32, or 64.
- Pick the main operation to highlight in the result summary.
- Set shift, rotate, and mask options when needed.
- Press Calculate and review the table above the form.
- Use CSV or PDF export for records and reports.
Unsigned Bitwise Guide
Why Unsigned Bitwise Calculation Matters
Bitwise work is common in configuration, networking, embedded logic, permissions, and compact storage. A mistake can flip the wrong flag. It can also hide a value inside a larger mask. This calculator helps you see each unsigned operation before use.
Fixed Width Behavior
Unsigned values use a fixed bit width. The same decimal number can look different at eight, sixteen, thirty two, or sixty four bits. Extra high bits are trimmed. Missing high bits are padded with zero. That rule makes the display predictable and avoids signed interpretation problems.
Operations Covered
The calculator compares two values named A and B. It shows AND, OR, XOR, complement, shifts, rotations, and mask actions. You can enter decimal, hexadecimal, or binary values. The page normalizes them into the selected width and then builds each result from the bit strings.
Mask And Field Testing
The mask tools are useful for flags and fields. Choose a start bit from the right side. Then choose the mask length. The tool can extract, set, clear, or toggle that field. This helps when checking permission bits, packet fields, register values, or option bytes.
Reading The Results
The result table includes binary, decimal, hexadecimal, set bit count, and parity. The binary view is grouped for easier reading. The chart shows how many bits are active in each result. That makes dense masks easier to compare.
Export And Review Workflow
Use CSV export when you need a worksheet record. Use PDF export when you need a quick report. Confirm final production logic with your target language, because integer sizes and shift behavior can vary between platforms.
Debugging Tips
A bitwise review improves debugging. When a permission result looks wrong, the grouped binary row can show which position changed. When a shift removes data, the trimmed edge becomes visible. When a complement creates many ones, the fixed width keeps the value bounded.
Practical Use
Try a known example first. Change one option at a time. Compare the selected operation with the table. Then export the numbers that support your decision. These habits reduce guessing and make bit notes easier for other readers during each careful review.
Example Data Table
| A | B | Width | Operation | Expected Binary | Expected Decimal |
|---|---|---|---|---|---|
| 170 | 85 | 8 | A AND B | 0000 0000 | 0 |
| 170 | 85 | 8 | A OR B | 1111 1111 | 255 |
| 240 | 15 | 8 | A XOR B | 1111 1111 | 255 |
| 0x3C | 0x0F | 8 | A AND mask, start 2, length 4 | 0000 1100 | 12 |
FAQs
What is an unsigned bitwise calculator?
It calculates bit operations without signed negative interpretation. Values are treated as fixed-width binary strings, so results stay inside the chosen unsigned range.
Why does bit width matter?
Bit width controls padding, trimming, complements, and shift boundaries. The same value can produce different binary views under 8, 16, 32, or 64 bits.
Can I enter hexadecimal values?
Yes. Choose hexadecimal as the base or use automatic mode with a 0x prefix. The calculator converts the value into the selected width.
How is NOT calculated?
NOT flips each bit only inside the selected width. For example, 00001111 becomes 11110000 in an 8 bit calculation.
What does mask start mean?
Mask start is counted from the rightmost bit. Bit zero is the least significant bit. The length decides how many one bits are included.
Are right shifts signed?
No. The right shift shown here is logical. It fills the left side with zeros and keeps the calculation unsigned.
What does parity show?
Parity shows whether the count of one bits is even or odd. It is useful for quick checks, checksums, and flag density reviews.
What can I export?
You can export the detailed result table as CSV or PDF. This is useful for worksheets, reports, code reviews, and teaching notes.