(Documentation in English)
What it does
The Bitwise Calculator performs exact, width-masked bit operations on 8 / 16 / 32 / 64-bit values. Enter operands in binary, octal, decimal or hex - each operand keeps its own base - and read the result in every base at once in the sticky result panel, which carries badges for the active operator and width (e.g. XOR · 8-bit) and a live bit grid highlighting exactly which bits are set. Supported operations: AND, OR, XOR, NOT (unary), SHL/SHR (logical shifts), and ROL/ROR (rotates that wrap within the chosen width). All math runs on bigint, so results are exact with no floating-point rounding. Everything stays in your browser.
Operator reference
| Operator | Symbol | Inputs | What it does |
|---|---|---|---|
| AND | & |
A and B | 1 where both operands have a 1 - masks and extracts bits |
| OR | | |
A and B | 1 where either operand has a 1 - sets and combines bits |
| XOR | ^ |
A and B | 1 where the operands differ - toggles bits |
| NOT | ~ |
A only | Flips every bit within the chosen width (operand B is ignored) |
| SHL | << |
A, count B | Shifts A left by B; zeros enter from the right, bits pushed past the width are masked away |
| SHR | >> |
A, count B | Logical shift right by B; zeros enter from the left |
| ROL | ⟲ |
A, count B | Rotates left by B mod width; bits leaving the top re-enter at the bottom |
| ROR | ⟳ |
A, count B | Rotates right by B mod width; bits leaving the bottom re-enter at the top |
How to use it
- The tool opens on a live sample -
XORof hexCAand35at 8-bit - so there is a computed result from the first paint. Edit either operand and the panel updates instantly. - Pick a width (8/16/32/64-bit) from the toolbar - this masks every value and result.
- Choose an operation from the operator row (
ANDthroughROR). SelectingNOTdisables operand B. - Type Operand A (and Operand B for binary ops; for shifts and rotates B is the count). The
BIN/OCT/DEC/HEXswitch above each operand sets its base - prefixes like0x/0b/0oare stripped automatically. - Read the result panel: Decimal, Hex, Octal and Binary lines plus the bit grid (MSB left, LSB right, highlighted bits are set). Copy result copies all four lines; Copy share link encodes the whole calculation in the URL.
- Sample restores the built-in example; Clear empties both operands.
Examples
Every value below is the tool’s real output for the given input.
XOR two hex bytes (8-bit) - the default sample
width: 8-bit op: XOR
A (hex): CA → 1100 1010
B (hex): 35 → 0011 0101
result: dec 255 · hex 0xff · oct 0o377 · bin 1111 1111 (every bit set)Mask with AND (32-bit)
A (hex): DEADBEEF B (hex): 0000FFFF
result: dec 48879 · hex 0x0000beef · bin 0000 0000 0000 0000 1011 1110 1110 1111NOT and shifts (8-bit)
op: NOT A (hex): 0F, B: - → dec 240 · hex 0xf0 · bin 1111 0000
op: SHL A (hex): 01, B (dec): 4 → dec 16 · hex 0x10 · bin 0001 0000
op: SHR A (hex): 08, B (dec): 1 → dec 4 · hex 0x04 · bin 0000 0100Rotates wrap within the width (8-bit)
op: ROL A (hex): 80, B (dec): 1 → dec 1 · hex 0x01 · bin 0000 0001
(1000 0000 rotated left by 1: the top bit wraps around to bit 0)
op: ROR A (hex): 01, B (dec): 1 → dec 128 · hex 0x80 · bin 1000 0000
(0000 0001 rotated right by 1: bit 0 wraps around to the top)Negative operands are normalized (8-bit)
A (dec): -1 op: AND B (dec): 1
result: dec 1 · hex 0x01 · bin 0000 0001
(-1 becomes 1111 1111, the 8-bit two's-complement pattern, before the op)Good to know
- Two’s-complement masking: every value is normalized to the unsigned width-bit pattern before the op, and the result is masked back - so
NOT 0x0Fin 8-bit is0xf0, never a giant negative number, and-1in 8-bit behaves as0xff. - Shifts drop the overflow:
0xFF << 1in 8-bit is0xfe- the bit pushed past the width is gone, exactly like native fixed-width integers. - Rotates wrap:
ROL/RORrotate bycount mod width, so a rotate by the width itself is a no-op. - Shareable: operands, bases, op and width are all encoded in the URL - open the link and the exact calculation is restored.
- Private: all calculation is local - nothing is sent anywhere.
- Related tools: Number Base Converter, JSON Formatter, Cron Expression Explainer.