Binary puzzle: rules, logic and solving techniques

What is Binary Puzzle?

Binary is a logic puzzle made entirely of 0s and 1s. Every row and column must contain the same number of each, no three identical digits can appear in a row, and completed rows and columns must all be unique.

Goal of the game

Fill every empty cell with 0 or 1 while satisfying the balance, sequence and uniqueness rules at the same time. Every DIGIGMA grid has a single logical solution.

Rules

• Use only 0 and 1.
• Each row contains the same number of 0s and 1s.
• Each column contains the same number of 0s and 1s.
• Three identical digits can never appear consecutively in a row or column.
• No two completed rows may be identical.
• No two completed columns may be identical.

If you are new to the game, start on Easy: the basic patterns appear more often and are easier to spot.

On mobile, tap a cell to cycle through 0 → 1 → empty. You can also use the keypad.

The four patterns to know

Pair

When two identical digits sit next to each other, any open cell extending that pair must contain the opposite digit.

Sandwich

An empty cell between two identical digits must contain the opposite digit.

Balance

Every row and column needs the same number of 0s and 1s. On a 6×6 grid, that means three of each. Once one quota is reached, every remaining cell must be the other digit.

Uniqueness

Two completed rows — or two completed columns — can never be identical. If an unfinished row is about to copy a finished one, its remaining cells must prevent that.

In practice, look for pairs and sandwiches first, then balance, then uniqueness. Always check both rows and columns.

When you’re stuck

• Look for 00_ and 11_ in every row and column.
• Then scan for sandwiches such as 0_0 and 1_1.
• Count 0s and 1s in rows and columns that are nearly full.
• Compare rows or columns that are close to matching to apply uniqueness.
• Avoid guessing: on a well-calibrated grid, a deduction is always available.

If you want a nudge, Hint can point to a useful next cell. Reveal fills the grid. Clear cell simply removes your entry from the selected cell.

Common mistakes

• Scanning only rows and forgetting the columns.
• Ignoring balance once a row looks almost complete.
• Creating three identical digits because a pair or sandwich was missed.
• Completing a row or column with exactly the same pattern as another one.

Practical tips

• After every placement, immediately recheck that row and column.
• A pair often creates a balance deduction next.
• When two rows or columns become almost identical, think about uniqueness.
• Once these four habits feel automatic, choose a puzzle from the Binary library.

Interactive tutorial

The tutorial below uses the same controls as a normal puzzle: select a cell, cycle through 0, 1 and empty, then apply the basic patterns. Afterwards, open the Binary library and try a full grid.

FAQ

Can I guess a 0 or 1?

Usually not. The pair, sandwich, balance and uniqueness rules are enough to move forward by deduction.

Why can’t two rows be identical?

Because uniqueness is part of Binary: two completed rows or columns may not have exactly the same pattern.

How do I know when a row is balanced?

Count the cells. In a six-cell row, you need three 0s and three 1s; in an eight-cell row, four of each.

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?

Go back through the same order: pairs, sandwiches, balance, then uniqueness — and always check both directions.