Guide
How to Play Binairo
Three rules, one solution, no guessing — learn Binairo in under a minute.
How to Play
- 1.
Fill every cell with a 0 or a 1 (or white and black circles, if you prefer the classic look). Tap a cell to cycle: empty → 0 → 1 → empty.
- 2.
No three in a row: three identical digits may never sit consecutively, horizontally or vertically. Two is fine — a pair always gets capped by the opposite digit.
- 3.
Balance every line: each row and each column contains exactly as many 0s as 1s — half and half.
- 4.
Unique lines: no two rows may be identical, and no two columns may be identical. On hard boards this rule is the key that unlocks the finish.
- 5.
The board is solved when every cell is filled and all three rules hold. There is always exactly one solution, and it never requires guessing.
Solving techniques
Every Binairo grid can be finished by pure deduction. These four patterns, applied in order, are enough to clear almost any board — the last one is usually what breaks a hard 14x14 open.
Cap the pairs
Whenever two identical digits sit next to each other, the cells at both ends of that pair must be the opposite digit — anything else would make three in a row. Scan for adjacent twins first, in rows and columns alike; on an easy board this single pattern cascades through most of the grid.
Fill the sandwich
A lone gap between two matching digits — 1 _ 1, or 0 _ 0 — can only hold the opposite digit, because filling it to match would create a run of three. This sandwich pattern is easy to miss because the two clues are not touching, so sweep each line looking specifically for one-cell holes.
Count the line's quota
Every row and column holds exactly as many 0s as 1s, so an 8-wide line takes four of each. The moment a line reaches its quota of one digit, every remaining blank in that line is the other digit — no further reasoning needed. Counting is the reliable fallback when the visual patterns dry up.
Compare against finished lines
No two rows may be identical, and no two columns may be identical. So when a row has just two blanks left and a completed row elsewhere matches it everywhere else, the filling that would duplicate that finished row is illegal — which forces the other filling. This is the rule hard puzzles are built around, and it only pays off late, once several lines are complete.