Question 1

Which bitwise operations are supported?

Accepted Answer

All seven named gates — AND (&), OR (|), XOR (^), NOT (~), NAND, NOR, XNOR — plus left shift (<<), logical right shift (>>>, zero-fill), and arithmetic right shift (>>, sign-fill). NOT, NAND, NOR and XNOR are derived from AND/OR/XOR with the NOT step applied to the result, so they work on arbitrarily many operands at the chosen width.

Question 2

Can I mix bases in one expression?

Accepted Answer

Yes. Each operand is auto-detected: 0x prefix is hex, 0b is binary, 0o is octal, no prefix is decimal. Negative literals (e.g. -0x10) are accepted and interpreted per the chosen signed/unsigned mode and bit width. The full expression parser supports parentheses and standard precedence: NOT > shift > AND > XOR > OR.

Question 3

How does the bit-column grid work?

Accepted Answer

Each operand and the final result are rendered as a left-padded binary string at the chosen width (8/16/32/64 bits). The bits are aligned in columns so you can trace a single bit position across every operand and the result. Set bits are highlighted; hover highlights the same column across rows for visual tracing.

Question 4

What is the difference between arithmetic and logical right shift?

Accepted Answer

Arithmetic right shift (>>) fills the vacated high-order bits with the original sign bit, preserving the sign of negative numbers — this matches C/Java semantics for signed integers. Logical right shift (>>>) fills with zeros regardless of sign, treating the operand as unsigned. Both are provided so you can compare results; the tool matches the chosen bit width exactly.

Question 5

What extra features does this tool have versus other bitwise calculators?

Accepted Answer

(1) Seven gates: AND, OR, XOR, NOT, NAND, NOR, XNOR. (2) Left shift + arithmetic & logical right shifts. (3) Mixed-base operand parsing (0x/0b/0o/decimal). (4) Full expression evaluator with parentheses and precedence (shunting-yard). (5) Aligned bit-column grid for visual tracing. (6) Selectable width 8/16/32/64-bit and BigInt mode (no overflow). (7) Signed/unsigned reinterpretation. (8) Per-gate truth-table generator. (9) Step-by-step evaluation log. (10) Multi-input chained operations (e.g. 0xF0 & ~0b1010 ^ 12). (11) Result shown in bin/oct/dec/hex simultaneously. (12) History (localStorage, last 20). (13) Shareable URL. 100% client-side and offline — your values never leave the device.

a	b	result	expression
0	0	0	0 & 0 = 0
0	1	0	0 & 1 = 0
1	0	0	1 & 0 = 0
1	1	1	1 & 1 = 1

a	b	result	expression
0	0	0	0 & 0 = 0
0	1	0	0 & 1 = 0
1	0	0	1 & 0 = 0
1	1	1	1 & 1 = 1

Bitwise Operation Calculator (AND / OR / XOR / NOT / Shift)

Truth table — AND (&)

Operation reference

How to use

Truth table — AND (&)

Operation reference