Binary combinations

Binary combinations are strings over an alphabet of two symbols, such as one and zero, or yin and yang.

All information - such as numbers, cognitions, matter and energy - can be reduced to binary strings. This is the simplest relevant format for information.

Gua figures - mostly present in Africa and China - represent an ancient form of binary combinatorics. Modern scientists typically use combinations of Indian numerals "0" and "1".

The fifteen simplest binary combinations follow.

Ordinal	Gua	Modern binary	Modern decimal
0		{}	-
1		1	1 (-1)
2		0	0
3		11	3 (-2)
4		10	2 (-1)
5		01	1
6		00	0
7		111	7 (-4)
8		110	6 (-3)
9		101	5 (-2)
10		100	4 (-1)
11		011	3
12		010	2
13		001	1
14		000	0