Binairo is a binary logic puzzle played on a 6 by 6 grid where every row and column must hold exactly three 0s and three 1s, never contain 000 or 111, and stay unique among the other completed lines. The same three rules appear in printouts under the names Takuzu, Binario, and Tic-Tac-Logic, and the appeal is identical: each cell is a tiny decision between two symbols, and the whole grid follows from balance, adjacency, and distinctness working together at the same time. A browser Binairo is the printable alternative many solvers end up choosing once they factor in printer ink, paper waste, and the time it takes to generate, download, and physically lay out a fresh PDF. The online board at Binairo (Binary Puzzle) starts with eight fixed digits, leaves twenty-eight cells to deduce, and finishes with an exact 1,000-point score when the unique correct grid is reached.
Why solve Binairo in your browser instead of printing
You could open a generator, customize the difficulty, click a download button, and print a fresh Binairo PDF. Or you could open a single browser tab and start the same three-rule puzzle immediately. The two paths produce the same logic exercise, but they diverge sharply in setup, feedback, and how each session ends. The grid below lines up the print workflow and the browser Binairo side by side.
| Feature | Printable PDF workflow | Browser Binairo at Lizely |
|---|---|---|
| Setup time | Open generator, choose size, download, print | Single click, no download needed |
| Restart on a mistake | Reach for a fresh sheet or generator run | Restart button rebuilds the same board |
| Mistake feedback | Self-check against an answer key | Check grid or Enter reports incomplete or wrong |
| Keyboard entry | Pen or pencil only | Arrows, 0, 1, Delete, Space, Enter |
| Scoring | None built in | Exact 1,000 points for the unique solution |
| Account or upload | Usually none | None; logic runs locally in the browser |
| Privacy of progress | Sheet stays on your desk | Best score stored locally only |
| Privacy screen for shared spaces | Cover with a hand or a book | Double-Escape boss key toggles a cover |
The trade-off is honest: a printable sheet survives without electricity and feels satisfying with a real pencil, while the browser version cuts every line of setup and lets you retry the same deterministic board as many times as you want. For anyone who already has a laptop open, the browser path is usually faster than the printer path, and it eliminates the small but real cost of producing the same logic again and again.
The three rules every 6×6 Binairo enforces
Binairo looks deceptively simple because only two symbols are used, but each completed line must satisfy three conditions at once, and dropping any one of them opens up multiple valid answers.
- Balance. Each row and each column must contain exactly three 0s and three 1s. Once a line already shows three of one digit, every remaining open cell in that line is forced to the other digit.
- Adjacency. No row or column may contain three equal adjacent digits, so the patterns 000 and 111 are forbidden. Pairs like 00, 01, or 11 can appear, but a third match next to either pair is not allowed.
- Distinctness. No two completed rows may look identical, and the same rule applies independently to the columns. A row can match a column because uniqueness is enforced within each direction, not across the two direction sets.
Those three rules are the standard Binairo language used by Conceptis and other publishers of the puzzle family; the wording above mirrors the rules page for Tic-Tac-Logic, and the same constraints power the Lizely implementation. Balance alone is not enough, because a line can be balanced yet still illegal if it carries 000 or 111, or if it duplicates another completed line. The browser board checks all three conditions together on every Enter press.
How to play this 6×6 Binairo from start to 1,000
The board starts with eight locked digits and twenty-eight empty cells. Walking it through the same three-rule loop is enough to reach the unique 1,000-point completion; deeper deduction patterns are covered in the Binairo rules and controls walkthrough.
- Survey the givens. Identify the eight starting digits and note which rows and columns already have a known 0 or 1. Treat those cells as immutable; the board marks them with a distinct visual treatment.
- Apply the balance rule first. For any row or column that already shows three 0s, set every remaining open cell in that line to 1, and mirror the logic after three 1s. Work rows and columns in the same pass so each deduction feeds the next.
- Use adjacency to fill the next layer. Whenever a line shows a pair like 0_0 or 1_1 with an open cell on either side, that open cell is forced to the opposite digit. Patterns such as 0 open 0 make the middle cell a 1, and the same holds for the mirror pattern with 1s.
- Compare partial lines to completed ones. Once five cells of a row or column are known, treat that partial line as a candidate. A final digit that would copy an existing completed line in the same direction is forbidden, even when balance and adjacency would otherwise allow it.
- Cycle, set, or type to enter values. Tap an editable cell to move it from unknown to 0 to 1 and back to unknown. The Set 0 and Set 1 buttons write directly to the selected cell; pressing 0 or 1 on the keyboard while an editable cell is selected does the same.
- Press Check grid or Enter to verify. If any editable cell is still unknown, the game reports an incomplete board and does not count a mistake. A fully filled but incorrect grid counts as one mistake and stays editable so you can revise the deduction.
- Reach the unique 1,000-point finish. When the single correct grid is detected, the score becomes exactly 1,000 and all grid input freezes. From that point, only Restart produces a fresh attempt on the same eight-givens board.
If a line stalls, switch rules before guessing. A row that has not yielded to balance may crack open under adjacency once two of its symbols pair up, and a row that resists adjacency may finally give up its last digit to distinctness once five cells are known.
Touch and keyboard controls for every cell
Every editable cell is a native button, so the same actions work whether you tap with a finger, click with a mouse, or stay on the keyboard. Three explicit cell states drive the board: unknown for an empty cell, 0 for a fixed zero, and 1 for a fixed one, with the cycle looping in that order.
On touch or click, an editable cell cycles through the three states in the order unknown, 0, 1, unknown. The separate Set 0, Set 1, and Clear buttons let you write a value directly into the currently selected cell without cycling past it. Starting digits use a distinct visual treatment and ignore taps, which prevents an accidental click from corrupting the puzzle definition mid-session.
Keyboard controls mirror the same actions:
- Arrow keys: move the active cell around the 6 by 6 grid.
- 0 and 1: set the selected editable cell directly to 0 or 1.
- Delete or Backspace: clear the selected cell back to unknown.
- Space: cycle the selected cell through unknown, 0, 1, unknown.
- Enter: run the same check as the Check grid button.
The grid is sized to fit a 390-pixel viewport without horizontal scrolling, so the same controls behave on a phone in portrait, a tablet, and a desktop window. That narrow-viewport fit matters for anyone treating the browser board as a printable substitute, since a phone is rarely the place a paper sheet would live.
How scoring and the two-strike mistake policy work
The score starts at zero and only moves in one direction: a unique correct completion awards exactly 1,000 points and freezes the run. The mistake counter behaves differently and is designed for genuine practice, not punishment. A check while any editable cell is still unknown is reported as incomplete and does not move the counter, so you can audit a half-finished attempt without penalty. A fully filled grid that is incorrect records one mistake and stays editable so you can fix it. A second fully filled incorrect check deadlocks the run; Restart is the only way out from that state.
Restart rebuilds the same eight-givens board with all other cells returned to unknown, the mistake counter reset to zero, and the score reset to zero, with the first editable cell selected. Because the board is deterministic, repeated runs reproduce the same logical path and the same 1,000-point outcome, which makes the practice loop stable across sessions.
For shared spaces, the double-Escape boss key covers the puzzle with a spreadsheet-style screen and brings it back on the next double press, matching the same keyboard-first habit the rest of the game supports. All puzzle logic runs locally in the browser: no moves are sent to a server, no account is required, nothing is uploaded, and no device permission is asked for. That combination of instant setup, deterministic scoring, and a printable-style single-board focus is exactly what makes a browser Binairo a credible alternative to the PDF in the printer tray.
Related reading: How to Explain Four-Bit Binary Game Rules to a Beginner.