Overview
Introduction
This tool computes NAND across a whole list of non-negative integers: AND them all together, then NOT the result at a bit width you choose.
It's the combined-list version of the classic NAND logic gate, extended to fold across more than two operands.
What Is Integer NAND Calculator?
A calculator that folds a list with bitwise AND, then complements (NOTs) the single combined result at a chosen 8, 16, or 32-bit width.
NAND is a foundational digital-logic operation, since every other logic gate can be built from NAND gates alone.
How Integer NAND 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 AND, folded left to right into a single intermediate result.
That intermediate result is then complemented at the chosen width (mask minus the AND result) to produce the final NAND value.
When To Use Integer NAND Calculator
Use it when you need the complement of a combined AND mask in one step, such as digital-logic design or verifying a hardware description.
It's also useful for teaching how NAND relates to AND and NOT, since it visibly performs both steps.
Often used alongside Integer AND Calculator, Integer NOT Calculator and Integer NOR Calculator.
Features
Advantages
- Combines the AND-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 NAND 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 AND 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 AND and NOT calculators when you want the combined NAND value.
Developer Notes
The list is first folded with JavaScript's `&` operator (kept unsigned via `>>> 0`), then the single AND result is complemented as `mask - anded` where `mask = 2**width - 1`, mirroring the same width-aware complement approach used by the standalone NOT calculator.
Integer NAND Calculator Use Cases
- Digital logic design and verification involving multi-input NAND gates
- Combining several bitmask values and immediately inverting the shared-bit result
- Teaching how NAND is built from AND followed by NOT
Common Mistakes
- Forgetting that the bit width only affects the final NOT step, not the initial AND fold.
- Entering a negative or oversized value for the chosen width, which is rejected before any computation happens.
- Expecting a two-input-only NAND; this tool supports folding any number of values (2 or more).
Tips
- If you only need the plain AND without the complement, use the Integer AND Calculator instead.
- Compare results at different bit widths to see how the same AND value complements differently depending on width.