Alex WeberSchool tools

No. 02 newlogic · math

Boolean hypercube

Every row of a truth table is a corner of a cube, and neighbouring corners differ in one variable. Where two neighbours are both 1, that variable doesn’t matter, so the pair merges into a simpler term: the same idea a Karnaugh map draws flat.

Expression

Up to four variables. Same syntax as the gate simulator.

Try
Fig. 1

The cube of F

Drag to turn, scroll or pinch to zoom. Click a corner to read its row.

1 0 both ends 1: can merge one bit apart

Table 1

Groups of adjacent 1s

Each group is a sub-cube whose corners are all 1: a pair is an edge, four make a face, eight a cube. Pick one to highlight it.