Overview
Introduction
This tool computes XNOR across a whole list of non-negative integers: XOR them all together, then NOT the result at a bit width you choose.
It's the combined-list version of the classic XNOR (equivalence) logic gate, extended to fold across more than two operands.
What Is Integer XNOR Calculator?
A calculator that folds a list with bitwise XOR, then complements (NOTs) the single combined result at a chosen 8, 16, or 32-bit width.
XNOR is often called the 'equivalence' gate because each output bit is 1 exactly when an even number of the corresponding input bits were set.
How Integer XNOR Calculator Works
Each non-blank line is parsed as a non-negative integer that must fit within the selected bit width's range.
All values are combined with bitwise XOR, folded left to right into a single intermediate result.
That intermediate result is then complemented at the chosen width (mask minus the XOR result) to produce the final XNOR value.
When To Use Integer XNOR Calculator
Use it when you need the complement of a combined XOR fold in one step, such as digital-logic design or parity-with-inversion checks.
It's also useful for teaching how XNOR relates to XOR and NOT.
Often used alongside Integer XOR Calculator, Integer NOT Calculator and Integer NAND Calculator.
Features
Advantages
- Combines the XOR-fold and NOT-complement into a single calculation instead of two separate tool passes.
- Supports any number of operands (2 or more), not just the classic two-input XNOR gate.
- Lets you choose the bit width so the complement step matches your target system size.
Limitations
- Only supports non-negative integers within the chosen bit width; there's no signed mode.
- Requires at least two values to XOR together before the NOT step is applied.
Examples
Best Practices & Notes
Best Practices
- Set the bit width to match your target system before reading the result, since it only affects the final NOT step.
- Use this tool directly instead of chaining the separate XOR and NOT calculators when you want the combined XNOR value.
Developer Notes
The list is first folded with JavaScript's `^` operator (kept unsigned via `>>> 0`), then the single XOR result is complemented as `mask - xored` where `mask = 2**width - 1`, matching the same width-aware complement approach used by the standalone NOT calculator.
Integer XNOR Calculator Use Cases
- Digital logic design and verification involving multi-input XNOR (equivalence) gates
- Combining several values and checking the inverse of their combined parity
- Teaching how XNOR is built from XOR followed by NOT
Common Mistakes
- Forgetting that the bit width only affects the final NOT step, not the initial XOR fold.
- Entering a negative or oversized value for the chosen width, which is rejected before any computation happens.
- Expecting a two-input-only XNOR; this tool supports folding any number of values (2 or more).
Tips
- If you only need the plain XOR without the complement, use the Integer XOR Calculator instead.
- Compare results at different bit widths to see how the same XOR value complements differently depending on width.