Binary Puzzle Solver Online

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.

A worked binary deduction

The three rules feed each other, and chaining them is the whole skill. Say a row in an 8x8 puzzle already shows two 1s side by side. Neither end can be another 1 — that would make three in a row — so both neighbouring cells are 0. If one of those 0s now sits next to an existing 0, the cell beyond it is forced to 1 to avoid a triple of zeros. A single pair can ripple several cells outward.

Counting then closes lines. Each row of an 8x8 grid holds exactly four 0s and four 1s, so the moment a row contains its fourth 1, every remaining blank must be 0. And if filling a row would make it identical to a finished row, the uniqueness rule forces the opposite value in the deciding cell. Alternate between no-three logic, counting and uniqueness, and the grid resolves without guessing.

• Two equal cells side by side force the opposite on both ends.
• A gap between two equal cells (0_0 or 1_1) forces the opposite in the middle.
• When a line reaches half of one digit, the rest become the other.
• Never let a line copy a finished row or column.
• Cycle through no-three, counting and uniqueness until it solves.

Binairo, Takuzu, Unruly: the binary puzzle's many names

The binary puzzle travels under several names. In newspapers and apps it is widely sold as Binairo and as Takuzu, the Japanese-styled name; the older name Tohu wa Vohu also appears, and the popular open-source collection by Simon Tatham includes it as Unruly. All of them are the same puzzle with the same three rules.

Whatever the label, you fill a grid with two symbols — usually 0 and 1, sometimes two colours — so that no three of a kind sit in a line, every row and column is balanced, and no two rows or columns match. Because the rules are identical, this solver and the strategies above work for Binairo, Takuzu, Unruly and any other binary puzzle you meet.

• Binairo and Takuzu are the most common commercial names.
• Tohu wa Vohu is an older name for the same puzzle.
• Unruly is the version in Simon Tatham's puzzle collection.
• Some editions use two colours instead of 0 and 1.
• The three rules are identical across every name.

Binary puzzle vs Sudoku

Binary puzzles and Sudoku are both filled-grid logic puzzles with no luck involved, but they constrain you differently. Sudoku uses the digits 1 to 9 and forbids repeats within each row, column and box. A binary puzzle uses just two symbols and has no boxes at all; its challenge comes from three simpler-sounding rules working together.

Those rules — no three in a row, an equal count of each symbol per line, and no duplicate rows or columns — make the logic feel very different from Sudoku. There is less arithmetic and more pattern-spotting, and the balance and uniqueness rules create deductions Sudoku never has. If you find Sudoku familiar, a binary puzzle is a refreshing change of pace using the same patient reasoning.