Chapter 4: Systems Based on Numbers

Section 2: Elementary Arithmetic

Iterated bitwise operations

The pictures below show digit sequences generated by repeatedly applying combinations of bitwise and arithmetic operations. The first example corresponds to elementary cellular automaton rule 60. Note that any cellular automaton rule can be reproduced by some appropriate combination of bitwise and arithmetic operations.

Iterated bitwise operations image 1

Image Source Notebooks:

From Stephen Wolfram: A New Kind of Science [citation]