How to play

Binary Puzzle rules, patterns and how to solve a grid

This is the solving guide. The Binary Puzzle library is for choosing a size and a day. Here you learn the patterns that finish a grid.

What is Binary Puzzle?

Binary Puzzle is a grid of 0s and 1s. DIGIGMA boards use even sizes. Each line must be balanced, must never hold three identical symbols in a row, and must stay unique. Given cells never change. There is one solution.

Goal of the game

Fill every empty cell with 0 or 1 so all four rules hold. The grid is solved only when it is complete and valid.

Rules

  • Use only 0 and 1.
  • Each row has equally many 0s and 1s.
  • Each column has equally many 0s and 1s.
  • Never three identical symbols consecutive in a row or column.
  • No two completed rows may be identical.
  • No two completed columns may be identical.

Tap a cell to cycle empty, 0, and 1, or use the keypad. Start on Easy.

Tap an editable cell three times to cycle: 0 → 1 → empty. These are three separate taps, not a rapid triple-tap gesture. The keypad also works.

Fundamental patterns

Pair

Two identical symbols next to each other force the opposite symbol on each open side.

00_ becomes 001
001

11_ becomes 110 the same way.

Framing

An empty cell between two identical symbols must be the opposite.

0_0 becomes 010
010

1_1 becomes 101.

Balance

A line needs equally many 0s and 1s. On a 6×6 board that is three of each. If a line already has all of one symbol, every leftover cell is the other symbol.

This 6-cell line already has three 0s
010101

No more 0s are allowed. The empty cells must be 1.

Uniqueness

If two rows already match in every filled cell, the remaining cells cannot copy a finished row. Place the digit that keeps them different. Do the same with columns.

These two rows must not become twins
0101100101

The finished row is 010110. The second row already matches the first four cells, so it cannot end 1 0.

Work in this order: pairs and frames, then balance counts, then uniqueness. Alternate rows and columns — looking only horizontally is a common stall.

When you’re stuck

  • Hunt 00_ / 11_ in every row and every column.
  • Hunt 0_0 / 1_1 (framing).
  • Count 0s and 1s on lines that are almost full.
  • Compare nearly identical rows, then columns.
  • Do not guess a 0 or 1. The next cell is forced.

Hint can show a next cell. Reveal fills the board. Clear cell empties a mark you no longer trust.

Common mistakes

  • Scanning only left to right and ignoring columns.
  • Forgetting the balance count once a line looks ‘almost done’.
  • Making three identical symbols because a pair was ignored.
  • Completing a balanced line that copies another row or column.

Practical tips

  • After every placement, look at that row and that column again.
  • Balance often appears right after a pair.
  • When two lines are almost twins, uniqueness is usually the next move.
  • Open a grid from available Binary Puzzle boards once the four patterns feel automatic.

FAQ

Can I guess a 0 or 1?
You should not. DIGIGMA Binary Puzzle has one solution. Pairs, frames, balance, and uniqueness cover the path.
Why can’t two rows be identical?
Uniqueness is a rule of the game, not a hint. Two finished rows (or columns) with the same pattern are illegal.
How do I know when a row is balanced?
Count. Half the cells must be 0, half must be 1. On 6×6 that is three and three.
Is Binary Puzzle related to Sudoku?
It is a different game. Both are logic grids with one solution. Binary uses two symbols and line patterns instead of 1–9 and boxes.
What should I do when I get stuck?
Pairs, frames, counts, then uniqueness — in both directions. Guessing is not the method.

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