Calculator
Use decimal, binary with 0b, or hexadecimal with 0x. For NOT, only Input A matters. For shifts, Input B becomes the shift count.
Example Data Table
| Input A | Input B | Operator | Width | Result | Binary Result |
|---|---|---|---|---|---|
| 29 | 15 | AND | 8 | 13 | 00001101 |
| 29 | 15 | OR | 8 | 31 | 00011111 |
| 29 | 15 | XOR | 8 | 18 | 00010010 |
| 29 | 2 | LEFT SHIFT | 8 | 116 | 01110100 |
Formula Used
AND: Result bit becomes 1 only when both matching bits equal 1.
OR: Result bit becomes 1 when either matching bit equals 1.
XOR: Result bit becomes 1 when matching bits differ.
NOT: Each bit flips within the selected width mask.
LEFT SHIFT: A << n moves bits left by n positions.
RIGHT SHIFT: A >> n moves bits right by n positions.
NAND: NOT of the AND result. NOR: NOT of the OR result. XNOR: NOT of the XOR result.
Width masking keeps the answer inside 8, 16, or 32 bits. That makes binary output consistent and easy to compare.
How to Use This Calculator
- Enter Input A in decimal, binary, or hexadecimal form.
- Enter Input B when the chosen operator needs another value.
- Select the bitwise operator you want to evaluate.
- Choose a display width of 8, 16, or 32 bits.
- Press Calculate to view the result above the form.
- Review decimal, hexadecimal, binary, and bit-position outputs.
- Use the CSV and PDF buttons to export the result.
- Study the graph and table to inspect every bit change.
Frequently Asked Questions
1. What does a bitwise operator do?
A bitwise operator works on individual bits of integers. It compares, flips, or shifts bits. That makes it useful for masks, permissions, flags, low-level logic, and binary inspection.
2. Why does the calculator ask for bit width?
Bit width controls how values display in binary. It also limits masking for NOT, NAND, NOR, XNOR, and shifts. Fixed width keeps the output consistent and easier to understand.
3. Can I enter binary and hexadecimal numbers?
Yes. Use 0b for binary values and 0x for hexadecimal values. Decimal input also works. The calculator converts everything into the selected width before showing the result.
4. What is the difference between AND and XOR?
AND returns 1 only when both bits are 1. XOR returns 1 when the two bits differ. AND narrows matches, while XOR highlights differences.
5. Why does NOT look different from normal arithmetic?
NOT flips every bit inside the chosen width. Because width matters, the same decimal input can produce different visible binary outputs under 8-bit, 16-bit, or 32-bit views.
6. How are left and right shifts handled?
The calculator uses Input B as the shift count. Left shift moves bits toward higher positions. Right shift moves bits toward lower positions. The displayed answer stays inside the chosen width.
7. What are NAND, NOR, and XNOR?
These are complemented forms of AND, OR, and XOR. The calculator computes the base operator first, then flips the bits inside the selected width mask.
8. When is this calculator useful?
It helps when learning binary math, building masks, checking flags, debugging integer logic, validating shifts, and comparing numeric representations across decimal, hexadecimal, and binary forms.