Clear rules · Explainable moves

Binary Logic Puzzle

Observe every row and column, then place 0 or 1 where all three rules stay true. Begin with a clear 4×4 board or move on to a deeper 6×6 challenge.

  • 4×4 first steps
  • 6×6 deeper reasoning
  • Four symbol sets
0 zero 1 one
A First Steps board with one highlighted cell and its evidence—see which symbol belongs there.

Follow one logical move

Solve Binary Logic in four steps

Use the row or column around one empty cell to reach a move you can explain.

Find an open cell

Start with a line that already contains several fixed 0 and 1 values.

Check its line

Read across its row or down its column before considering a value.

Apply one rule

Count both values, block a group of three, or compare completed lines.

Place the forced value

Enter the only value that keeps every rule true.

One legal board, three checks

Three rules, shown on a valid board

Every mini board below is a complete, valid 4×4 solution. Highlighting points to the part that demonstrates the rule.

Equal counts

Each row and column contains two of each symbol on a 4×4 board.

Never three alike

Two matching symbols together force the next cell in that line to use the other symbol.

Different completed lines

No two completed rows may match, and no two completed columns may match.

The examples use one legal Binary Logic solution. Live puzzles, checks, hints, printable pages, and answers continue to come from the canonical generator and Document pipeline.

Grow without skipping the rules

Choose a real learning stage

The cards show all four stages currently supported by the online generator. Choose the exact stage inside the focused workspace.

Developing Reasoning

6×6

For repeated line reasoning

More rows and columns create longer chains without changing the rules.

Open the level chooser

Only the verified 4×4 and 6×6 profiles are available here. The 8×8 and 10×10 admission gates remain closed, so they are not offered for online or printable use.

4×4
6×6

Continue away from the screen

Print Binary Logic for pencil practice

Prepare exact puzzle sets for a short home session, small-group lesson, or independent work.

  • A4 and US Letter
  • Color, low-ink, and line-art styles
  • Optional worked example and answers
  • Same validated Document plan for preview and output
Print practice sheets

What children practise

Rule-based deduction

Every move can be linked to a visible count, pattern, or line comparison.

Two-direction attention

Rows and columns must be checked together rather than solved in isolation.

Self-checking habits

Conflicts and staged hints help children explain and revise their reasoning.

Useful learning settings

First logic grid Use a 4×4 First Steps puzzle with Learn guidance and visible symbol choices.
Partner reasoning One learner names the rule while the other places the symbol.
Short home practice Complete one board and explain one decisive move in five to ten minutes.

Ready to reason?

Start with one legal move

Open the focused board, choose a symbol, and explain the row or column rule behind your next move.

Go to the workspace

Binary Logic questions

Is Binary Logic a maths test?
No. The values are two stable identities. You can use suns and moons, shapes, nature symbols, or 0 and 1 without changing the logic.
Does a hint fill the cell for the learner?
No. Hints first identify a line, then a rule and evidence cells, and only finally reveal the conclusion. The learner still places the value.
What makes a puzzle harder?
Size, strategy requirements, cross-line dependencies, and working-memory load all contribute. The number of empty cells alone is not a reliable difficulty measure.
Can I print the exact puzzle I am playing?
Yes. The online print action uses the current deterministic definition; printable sets use one exact Document Plan for preview, browser print, and PDF.
Are 8×8 or 10×10 boards available?
Not in the current product. Only 4×4 and 6×6 are admitted for play and print; larger boards stay unavailable until their separate evidence gates are satisfied.
Back to puzzles

Binary Logic Puzzle

BeginnerNew puzzle from the built-in generatorStandardPuzzle 1BL-BLG1-BLD1-BEGINNER-C4-000001
Puzzle ready. Standard mode keeps optional hints and highlights committed conflicts.

Puzzle canvas

How to enter a value

Select an empty cell, then choose one of the two symbols below.

Keyboard: Arrow keys move; 1 = sun; 2 = moon; Delete clears; H gives a hint; C checks; N starts a new puzzle.

No cell selected. Select an empty cell before choosing a symbol.

Hint support

No hint stage open

Hints reveal a useful line, then its rule and evidence, then one conclusion.

1 / 2 Two symbol choicesDelete EraseC CheckH Hint