Binary Grid — 0 and 1 Logic Puzzle
Fill a 6x6 grid with 0s and 1s: no three in a row, equal counts per row/col.
How to play
- Click any empty cell to place a 0, click again for 1, click again to clear.
- Each row and column must have exactly 3 zeros and 3 ones.
- No three consecutive identical digits are allowed in any row or column.
- Pre-filled (gray) cells are fixed clues — you cannot change them.
- Click 'Check' to see if your solution is correct.
Fill the 6x6 grid with 0s and 1s. Rules: no three identical digits in a row or column, and each row and column must have exactly three 0s and three 1s. Click a cell to cycle through 0 / 1 / empty.
How it works
Binary Grid is a logic puzzle played on a 6x6 grid. Each cell must be filled with either a 0 or a 1. Three rules govern the solution: no three consecutive cells in a row or column may contain the same digit; each row and each column must contain exactly three 0s and three 1s; and no two rows may be identical, and no two columns may be identical.
Some cells are pre-filled as clues. Use the three constraints together to eliminate possibilities: if a row already has three 1s, all remaining cells in that row must be 0. If two cells in a row are the same digit and adjacent, the cells immediately before and after that pair must be the opposite digit to avoid a triplet.
Work rows and columns in parallel, updating your deductions as each new cell is placed. The puzzle always has a unique solution reachable through pure logic without guessing.
Binary Grid is also called Binairo or Binary Sudoku. It sharpens constraint-satisfaction thinking and is a satisfying quick puzzle that typically takes two to ten minutes.
Worked example
Solving a row with two adjacent identical digits
- Find a row containing two adjacent 1s, e.g., cells at positions 3 and 4 are both 1.
- The cells at positions 2 and 5 cannot be 1 (would create three in a row), so place 0 in both.
- The row now has two 1s and two 0s placed; count remaining blanks to fill the exact balance.
- If two blanks remain and the row needs one more 1 and one more 0, check column constraints to determine which blank gets which digit.
- Place the digits and mark the row as solved.
The row is fully determined using the no-triplet and equal-count rules.
Common mistakes to avoid
- Forgetting to check both the row and the column constraints when placing a digit, leading to a violation in the perpendicular direction.
- Placing digits to satisfy the no-triplet rule without verifying the equal-count rule, which can make a row unsolvable later.
- Ignoring the uniqueness constraint until late in the puzzle, missing easy deductions available earlier.
Key terms
- Triplet
- Three consecutive identical digits in a row or column, which is forbidden by the rules.
- Balance constraint
- The rule that each row and column must contain exactly equal numbers of 0s and 1s.
- Uniqueness constraint
- The rule that no two rows can be identical and no two columns can be identical within the grid.
Frequently asked questions
- What are the rules?
- No three consecutive same digits in any row or column. Each row and column must contain exactly half 0s and half 1s.
- How do I cycle between 0, 1, and empty?
- Click a cell to cycle: empty → 0 → 1 → empty.