What is a Binary puzzle solver?
A Binary puzzle solver is an online tool that completes a grid made from only 0s and 1s. The puzzle is also searched for as Takuzu solver, Binairo solver, Binero solver, 0h h1 solver, Tic-Tac-Logic solver and Binary puzzle helper.
This solver follows the standard Binary rules: each row and column has the same number of zeros and ones, no three equal digits appear consecutively, and no two completed rows or columns are identical.
- Solve a Binary puzzle from a newspaper, book, app or printable worksheet.
- Check whether a partially filled Takuzu grid is still valid.
- Find the next logical move without showing the whole solution.
- Test a handmade Binairo puzzle for validity and uniqueness.
How to use this Binary solver
Choose the grid size, then click cells to enter the known 0s and 1s. You can also use the 0 and 1 buttons after selecting a square. Leave unknown cells blank.
Press Solve to complete the puzzle. Press Check to see whether the current entries have no solution, one solution or multiple solutions. Press Next move to reveal one logical Binary deduction at a time.
- Use 6x6 for small beginner Binary puzzles.
- Use 8x8 for the most common Takuzu size.
- Use 10x10 or 12x12 for larger Binairo grids.
- Apply a move only when you want the helper to write it into the grid.
- Clear removes all current entries while Reset returns to a fresh 8x8 grid.
Binary puzzle rules used by the solver
The tool assumes the normal Binary, Takuzu and Binairo rule set. An 8x8 puzzle needs four zeros and four ones in every row and column. A 10x10 puzzle needs five of each, and a 12x12 puzzle needs six of each.
The no-three rule works horizontally and vertically. The uniqueness rule is checked only on completed rows and completed columns, because two unfinished lines may still become different later.
- Every empty square must become either 0 or 1.
- Each row has an equal number of 0s and 1s.
- Each column has an equal number of 0s and 1s.
- 000 and 111 are not allowed in rows or columns.
- Completed rows are unique, and completed columns are unique.
Next move logic and Binary strategies
The Next move helper starts with the most human-friendly Binary strategies. If it sees 00_ or _00, it places 1. If it sees 11_ or _11, it places 0. Split pairs work the same way: 0_0 forces 1, and 1_1 forces 0.
The solver then counts each row and column. Once a line already has half of one digit, all remaining cells in that line must be the other digit. If the remaining blanks are exactly the number still needed for a digit, those blanks can all be filled.
After balance and triple logic, the helper checks uniqueness. If a nearly complete row would copy a completed row, the open cell must be the opposite value. The same idea applies to columns.
- Use pair patterns first because they are the fastest Binary hints.
- Count zeros and ones whenever a row or column is half full.
- Compare completed lines with nearly completed lines.
- Avoid guessing; a well-made Binary puzzle should have a forced next step.
- Use Solve only when you want to verify the final answer.
Why uniqueness matters in Binary puzzles
A good Binary puzzle should have one answer. If a puzzle has two valid completions, a player may be forced to guess, which weakens the logic of the puzzle.
This solver can report multiple solutions when the clues are too sparse. That is useful if you are checking a puzzle you created, copying a puzzle by hand, or trying to understand why a grid does not resolve cleanly.
Binary solving techniques
These are the techniques used by the next move helper. They also make a compact strategy checklist when solving Takuzu or Binairo by hand.
No Three in a Row
BeginnerTwo equal digits together, or separated by one empty square, force the surrounding empty square to be the opposite digit.
Balance Rule
BeginnerEvery row and column must contain half zeros and half ones, so a line that has reached its limit forces the rest of the line.
Line Completion
BeginnerIf the remaining empty cells in a row or column must all be zeros or all be ones to hit the required count, they can be filled immediately.
Uniqueness Check
IntermediateCompleted rows and columns cannot repeat. A nearly identical line may force the open square to keep the two lines different.
Forced in Every Solution
AdvancedWhen the direct rules pause, the helper can compare all valid completions it finds and show a cell that has the same value in every solution.