Rule 110

Rule 110 maps 000 to 0, 001 to 1, 010 to 1, 011 to 1, 100 to 0, 101 to 1, 110 to 1, and 111 to 0.

Change the parameters

Rule:
Number of cells:
Number of steps:
Initial state:
Start with multiple cells "on" (selected at random or from given initialization string)
Start with only the leftmost cell "on".
Start with only the middle cell "on".
Start with only the rightmost cell "on".

Random seed:
Initial cell values:

---

If you select the option to start with (potentially) multiple cells initially "on", then if provided, the "Initial cell values" string will be repeated to fill the entire row of cells. If you leave "Initial cell values" empty, the cells will be pseudo randomly initialized instead.

Set a non-zero seed if you want the pseudo random initialization to be consistent across reloads.

More information on cellular automata and their applications can be found in Stephen Wolfram's A New Kind of Science. This page uses the encoding described in Chapter 3 of his book.