Binarion

Binarion is a numeric puzzle built around a grid of bits representing the partial products of two binary numbers. The bits of number A occupy the grid’s left edge, and the bits of number B occupy its right edge; the top row represents the lowest bit of each number multiplied together.

You click the outer-edge tiles to set or clear bits. The inner tiles adjust automatically. The goal is to fill the grid correctly and reveal the prime factors.

A row-sum pattern beside the grid shows how many enabled bits each row needs. While the grid is incomplete or incorrect, red numbers indicate how many set bits each row is missing; a negative number means the row has too many. Because the factors are always prime, there is one correct grid solution and its left-to-right mirror.