Two overlapping 4ร—4 tiles ยท Beyond the single flat grid

5-Variable Karnaugh Map Solver

Solve 5-variable Boolean functions using two side-by-side 4-variable map tiles, with full support for groups that span across both.

Input
Click a cell: 0 โ†’ 1 โ†’ X โ†’ 0
Karnaugh Map
Minimal Result
Output format
F = 0
Prime Implicant Analysis
Auto-generated Circuit
Universal Gate Conversion

Why use this 5-variable karnaugh map solver

Proper multi-tile handling

Groups that cross between the two tiles are detected and minimized correctly, not just within a single tile.

Matches what most tools skip

Many free K-map tools cap out below 5 variables โ€” this one doesn't.

Same 5 input modes

K-map, truth table, expression, minterms, and maxterms all work identically at this size.

Frequently asked questions

How does a 5-variable K-map work?

It's split into two 4-variable tiles based on the 5th variable's value (0 or 1), with cells in matching positions across both tiles counted as adjacent.

Can a group span both tiles?

Yes โ€” if the two corresponding cells across both tiles are both 1 (or don't-care), they combine into one group, dropping the 5th variable from that term.

Is 5-variable K-mapping still done by hand in practice?

It's taught by hand to build intuition, but larger functions are almost always minimized algorithmically in practice โ€” exactly what this tool does under the hood.