Play Binario Online: Binary Puzzle Rules and Strategy
Binario is a logic puzzle with two kinds of pieces: black and white. Each
empty square has only two possible answers, but choosing the right one
depends on the whole grid. Balance the colors, avoid three matching pieces
in a line, and make every row and column distinct. Play Binario online with
five board sizes, easy and hard puzzles, daily games, hints, and a board you
can zoom and move.
The black pieces represent 0 and the white pieces represent 1. You may
recognize this puzzle family under names such as Takuzu, Binairo, or binary
puzzle. You do not need arithmetic beyond counting halves. The challenge
comes from connecting small deductions across rows and columns until every
square has a place.
How to Play Binario
Choose a board size and a difficulty, then fill every empty square. Click a
square once to place black, click it again to replace black with white, and
click a third time to clear it. Starting clues have a different background
and a small corner marker. Those pieces stay fixed, so build your deductions
around them.
Keyboard controls give you another way to work. Move the selection with the
arrow keys or WASD. Press 0 to place black, 1 to place white, Space to cycle
through the choices, and Delete or Backspace to erase an editable square.
The controls dialog shows your configured shortcuts. Undo and redo let you
revisit an action without starting a fresh puzzle.
The Three Binario Rules
- Equal colors: Every complete row and every complete column
must contain exactly as many black pieces as white pieces.
- No triples: Three consecutive pieces of the same color are
forbidden horizontally and vertically. Two matching neighbors are allowed.
- Different lines: No two complete rows may have the same sequence.
No two complete columns may have the same sequence.
All three rules apply at the same time. A balanced row can still be wrong if
it contains three consecutive black pieces. A row without triples can still
be wrong if it repeats another row. Diagonals have no restrictions, and a
row is allowed to match a column. Compare rows with rows and columns with
columns.
Beginner Strategy: Find Pairs First
Two adjacent pieces of the same color create an immediate clue. If you see
black, black, empty, the empty square must be white. The same applies on the
other side of a pair: empty, white, white must begin with black. Scan the
grid horizontally, then vertically, and fill only the squares that are
forced.
Pairs are especially helpful at the beginning because they require no
counting. After placing a piece, inspect the row and column that cross at
that square. The new piece may complete another pair in the opposite
direction. A short chain of deductions can open a part of the grid that
looked empty moments before.
Use the Sandwich Pattern
A matching pair does not need to be adjacent to force a move. Black, empty,
black must become black, white, black. White, empty, white must become
white, black, white. Filling the gap with the same color would create a
triple.
Combine sandwich patterns with neighboring pairs. For example, two white
pieces followed by an empty square and another black piece force the empty
square to black. That placement may then force the next square to white.
Check both ends of a pattern before moving on, especially where several
clues sit close together.
Count Half of Each Line
Each board size gives you a clear target. A 6x6 line needs three of each
color, an 8x8 line needs four, a 10x10 line needs five, a 14x14 line needs
seven, and a 20x20 line needs ten. Once a row has reached its black target,
every remaining empty square in that row must be white. The same reasoning
works for white pieces and for columns.
Counting is most useful on nearly complete lines. On an 8x8 row with four
white pieces, two black pieces, and two empty squares, both empty squares
must be black. After filling them, check the intersecting columns for pairs
and sandwiches. A counting deduction often starts the next wave of local
deductions.
Advanced Binario Strategy: Compare Lines
The uniqueness rule is easy to forget because it concerns an entire row or
column. Keep completed lines in mind while solving nearly finished ones. If
a proposed placement would make a row identical to a completed row, that
placement is impossible even when the color counts and no-triples rule would
allow it.
For example, suppose a completed 6x6 row reads black, white, black, white,
black, white. Another row reads black, white, black, white, empty, empty.
Its final two pieces must be white, black rather than black, white, provided
the crossing columns permit that arrangement. The second arrangement would
copy the completed row exactly.
On hard boards, consider the consequences of a possible choice. Ask whether
a color would force too many pieces of one kind elsewhere, create a triple a
few steps later, or duplicate a line. Follow one implication at a time. Undo
can help you back out of a trial, but a deduction you can explain is easier
to trust than an unsupported guess.
Choose a Board Size and Difficulty
Start with 6x6 on easy to learn the rhythm of scanning, placing, and
recounting. Easy puzzles are generated so repeated applications of the basic
rules can finish the board. Hard generation can remove additional clues
while checking that the puzzle still has one solution. A hard board may
require you to combine several deductions or explore a choice more deeply.
Difficulty and size control different aspects of play. A small hard puzzle
can demand careful reasoning without taking much screen space. A large easy
puzzle gives you more lines to track while keeping the deductions
approachable. Use 10x10 as a step between the smaller boards and the larger
14x14 or 20x20 grids.
Zoom, Move, and Magnify the Board
The zoom menu includes zoom in, zoom out, and center board. You can also use
the configured keyboard shortcuts. Drag to move the view, scroll to move
vertically, hold Shift while scrolling to move horizontally, and use the
zoom modifier or a trackpad pinch to zoom. These controls are useful when a
large board is fitted to a small screen.
The magnifying glass setting enlarges the area around your pointer. Use it
to distinguish stones and fixed clues without changing the whole board's
zoom. Keyboard navigation also keeps the selected square in view, so you can
continue entering pieces after zooming into a large grid.
Daily Binario Puzzles and Leaderboard Scores
Daily games offer the same puzzle to everyone for each date, rotating through board sizes and difficulties.
Players choosing the same date receive the same board. Try a
daily puzzle to build a routine, compare approaches, or return to a familiar
level of challenge. Random games provide another puzzle whenever you want
more practice.
Leaderboard scores favor fast completed games: lower is better. The score
counts elapsed whole seconds and adds 60 for each hint. Replaying the
current board carries your previous score into the next attempt as a
penalty. Hints and replay penalties remain part of the attempt even if you
undo an action. Size and difficulty have separate leaderboard variants, so
you compare results within the same kind of puzzle.
A hint fills or corrects an editable square using the puzzle's solution. If
your selected square needs a correction, the hint uses that square first.
Otherwise it chooses an unfinished or incorrect square. Pause to inspect why
that piece fits before continuing. Understanding the move makes the hint
useful for future puzzles as well.
Save Progress and Avoid Common Mistakes
Enable “Start game from where you left off” in settings to save an
unfinished board and its undo history. Your hint count and replay penalty
are saved with the attempt. This is helpful for larger boards that you want
to solve over several sessions.
The most common mistake is checking only the row you just changed. Every
piece also affects a column. Another is treating equal counts as the only
goal: you still need to avoid triples and duplicate lines. If the final
squares seem impossible, revisit a recent placement and explain which rule
forced it. An earlier guess may have looked harmless while quietly making
another line unsolvable.
Binario FAQ
Is Binario the same kind of puzzle as Takuzu?
Yes. This version uses the familiar binary puzzle rules with black and white
pieces in place of printed 0s and 1s. The presentation changes, but the
balance, no-triples, and unique-lines constraints remain.
Can I change the starting pieces?
No. Starting pieces are fixed clues. Only squares that began empty can be
changed or erased.
Do diagonals count?
No. Check horizontal rows and vertical columns. Three matching pieces on a
diagonal are allowed.
Does every puzzle have one solution?
Generated puzzles keep a unique solution. Easy generation checks that basic
deductions finish the board; hard generation checks uniqueness while
removing clues.
Does undo remove a hint penalty?
No. Undo changes the board, but the number of hints already used stays
recorded for scoring.
Which board should I play first?
Choose easy 6x6, learn to spot pairs and sandwiches, then try a larger size
or hard difficulty. You can practice without a time target and focus on
making each placement explainable.
Choose your next Binario board and start with one forced piece. Scan both
directions, count the colors, and compare completed lines as the grid fills.
These few habits turn a board of black and white stones into a satisfying
chain of deductions.
For background on the puzzle family, see Takuzu.
Sound Effects Credits
The sound effects used on the game come from multiple parties. The credits and
respective licenses are listed below:
Disclaimer
This game is a property of Lofi and Games. All code and assets are protected and must
not be redistributed or used without prior permission.