Calculator Inputs
Tip: Shift value is used only for shift operations. Negative inputs are converted using the chosen bit width.
Bitwise Output Graph
The chart compares operand magnitudes with the final output in decimal form.
Formula Used
Bitwise operations act on corresponding binary digits after each decimal operand is converted into the selected bit width.
- AND: Result = A & B
- OR: Result = A | B
- XOR: Result = A ^ B
- NOT: Result = ~A or ~B
- Left Shift: Result = A << n
- Right Shift: Result = A >> n
- NAND / NOR / XNOR: Inverse of AND, OR, and XOR within the selected mask
For signed display, the calculator interprets the highest bit as the sign bit. For unsigned display, it reads the masked value directly.
How to Use This Calculator
- Enter decimal values for operand A and operand B.
- Choose a bit width to control masking and signed interpretation.
- Select the desired bitwise operation from the dropdown.
- Provide a shift amount when using left or right shifts.
- Click the calculate button to show the result above the form.
- Review decimal, binary, and hexadecimal outputs plus the chart.
- Export your work using the CSV or PDF buttons.
Example Data Table
| Operand A | Operand B | Operation | Bit Width | Binary Result | Decimal Result |
|---|---|---|---|---|---|
| 12 | 5 | AND | 8-bit | 0000 0100 | 4 |
| 12 | 5 | OR | 8-bit | 0000 1101 | 13 |
| 12 | 5 | XOR | 8-bit | 0000 1001 | 9 |
| 12 | — | Left Shift by 1 | 8-bit | 0001 1000 | 24 |
FAQs
1. What does a decimal bitwise calculator do?
It converts decimal inputs into binary, performs the selected bitwise operation, then reports the output in signed decimal, unsigned decimal, binary, and hexadecimal forms.
2. Why does bit width matter?
Bit width sets the active mask and sign bit. The same decimal value can produce different outputs in 8-bit, 16-bit, or 32-bit mode.
3. What is the difference between signed and unsigned results?
Unsigned results read the masked bits as a nonnegative value. Signed results treat the highest bit as a sign, using two’s complement interpretation.
4. When should I use XOR?
Use XOR when you want to mark differing bits, toggle flags, detect mismatches, or compare binary patterns between two decimal inputs.
5. What does NOT do in this calculator?
NOT flips every bit in the chosen operand within the selected width. A wider bit setting changes how many bits are inverted.
6. How are shifts handled?
Left shift adds zeros on the right. Arithmetic right shift preserves the sign bit. Unsigned right shift always inserts zeros on the left.
7. Can this calculator handle negative decimals?
Yes. Negative inputs are converted using two’s complement rules for the chosen bit width, then displayed in both signed and unsigned output forms.
8. What can I export from the page?
You can export the current result summary as a CSV file or as a simple PDF report for documentation, teaching notes, or audits.