Four 4ร—4 tiles ยท Beyond what most online tools support

6-Variable Karnaugh Map Solver

Solve full 6-variable Boolean functions using four 4-variable map tiles arranged by the two extra variables, with exact Petrick's-method minimization.

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 6-variable karnaugh map solver

Genuinely rare online

Most free Karnaugh map tools stop at 5 variables โ€” this handles the full 6-variable case.

Still exact, not approximate

Same essential-PI plus Petrick's-method engine as every other size, so the result is provably minimal, not just a reasonable guess.

Practical for real coursework

Useful for advanced digital logic courses and problems a textbook expects you to solve by computer rather than by hand.

Frequently asked questions

Why do so few tools support 6 variables?

The multi-tile layout and the number of possible groupings grow quickly, so it takes more careful algorithm design to keep grouping and minimization both correct and fast.

How many tiles does a 6-variable map use?

Four 4-variable tiles, arranged in a 2ร—2 layout based on the two additional variables' values.

Is manual 6-variable K-mapping realistic for coursework?

It's possible but tedious and error-prone by hand, which is exactly the case where a solver like this is most useful for checking work.