Binairo, also called Takuzu or a binary puzzle, is a logic puzzle on a grid of 0s and 1s. Fill every cell so no three of the same digit sit together in a row or column, each row and column has as many 0s as 1s, and no two rows and no two columns are identical.

Is this Binairo generator free?

Yes. Pick a difficulty, generate a puzzle and print the grid plus its answer, with no sign-up and no watermark. It is free for classroom, home and personal use.

Does every puzzle solve by logic alone?

Yes. Every puzzle is generated so that the no-three, balance and uniqueness rules alone complete the grid, with no guessing, and that is verified by the same solver our Publisher Studio uses. A puzzle is never ambiguous or unsolvable.

Does it include the answer?

Yes. Every puzzle prints as two pages: the grid of givens on page one and the completed grid on page two, so you can check your work.

What size are the pages?

The free tool prints at 8.25 by 11 inches, a popular large-print size. Our Publisher Studio will export the same book at any KDP trim, from 5.06 by 7.81 up to 8.27 by 11.69, as a print-ready 300 DPI interior.

Free tool

Free Binairo generator, with the answer

Pick a size and generate a binary-logic puzzle, then print it with its answer. Every puzzle solves by logic alone, with no sign-up and no watermark. It runs on the same engine as our KDP Publisher Studio.

Difficulty

Larger grids have more lines to balance. Every puzzle solves by logic, with no guessing.

8×8, 17 given cells. Fill the rest with 0s and 1s so no three repeat and every line is balanced.

Two pages: the puzzle and its completed grid. Every puzzle is proved to solve by logic alone, by the same engine as our KDP studio.

Want the whole book?

This makes one puzzle. Sign up to turn it into a full Binairo book for Amazon KDP: hundreds of graded binary-logic puzzles at any trim, as print-ready PDFs.

Build the full book

Free to build · pay once to export

Preview

The puzzle and its completed grid, as they print.

Binairo Medium

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Binairo Medium · Solution

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How to make a Binairo

1Pick a difficulty. Choose a grid size from a gentle 6 by 6 up to a 14 by 14. Larger grids have more rows and columns to balance, so the solve takes longer.
2Generate the puzzle. Press Generate puzzle. You get a fresh grid seeded with a few 0s and 1s. Every puzzle is proved to solve by logic, with no guessing.
3Print the two pages. Press Print / save PDF. You get two pages: the puzzle with its given cells on page one and the completed grid on page two.

How to solve a binairo

A binairo, also called takuzu, is a grid of just two symbols, 0 and 1, filled by three simple rules.

The method

1Never three in a row. Two of the same number may sit together, but never three. Spot two, and the squares on either side must be the opposite.
2Balance every line. Each row and column ends with as many 0s as 1s. Once one symbol is used up in a line, the rest are the other.
3Keep every line unique. No two rows may match, and no two columns. Use that to settle a tie late in the solve.
4Work the forced squares first. Fill the squares the rules force, then look again. Each one you place opens the next.

The one rule: Fill the grid with 0s and 1s so no three alike touch, each line is balanced, and no two lines match.
What the answer page shows: The full solution is printed at the back.
How the grades differ: Larger grids give the rules more room to interact, so they ask for more steps.
Good for: Logic solvers who like sudoku but want something lighter on arithmetic.

Publishing a whole book?

This tool makes one puzzle for home or the classroom. To make a Binairo book you can sell on Amazon KDP, Publisher Studio generates hundreds of graded binary-logic puzzles across a difficulty curve, at any KDP trim, as a print-ready interior and solutions PDF.

See the KDP Binairo maker

Questions

What is a Binairo?: Binairo, also called Takuzu or a binary puzzle, is a logic puzzle on a grid of 0s and 1s. Fill every cell so no three of the same digit sit together in a row or column, each row and column has as many 0s as 1s, and no two rows and no two columns are identical.
Is this Binairo generator free?: Yes. Pick a difficulty, generate a puzzle and print the grid plus its answer, with no sign-up and no watermark. It is free for classroom, home and personal use.
Does every puzzle solve by logic alone?: Yes. Every puzzle is generated so that the no-three, balance and uniqueness rules alone complete the grid, with no guessing, and that is verified by the same solver our Publisher Studio uses. A puzzle is never ambiguous or unsolvable.
Does it include the answer?: Yes. Every puzzle prints as two pages: the grid of givens on page one and the completed grid on page two, so you can check your work.
What size are the pages?: The free tool prints at 8.25 by 11 inches, a popular large-print size. Our Publisher Studio will export the same book at any KDP trim, from 5.06 by 7.81 up to 8.27 by 11.69, as a print-ready 300 DPI interior.

Short of ideas? Browse our ready-made printables for this puzzle and print one today.