Venn Diagrams with Three Terms

Venn diagrams with three terms can be represented using three overlapping circles, symmetrically arranged with their centers at the vertices of an equilateral triangle.

A three-term Venn diagram, with sets a, b, and c, is shown below, with its minterms labeled.

abcm
000m0
001m1
010m2
011m3
100m4
101m5
110m6
111m7
Venn diagram regionstruth table

Exclusive OR

The exclusive or operation for three terms is shown in the following Venn diagram.

Matlab code for Venn diagrams may be downloaded from venn.zip.


Maintained by John Loomis, last updated 8 June 2004