1 Answers
The unary numeral system is the simplest numeral system to represent natural numbers: to represent a number N, a symbol representing 1 is repeated N times.
In the unary system, the number 0 is represented by the empty string, that is, the absence of a symbol. Numbers 1, 2, 3, 4, 5, 6,... are represented in unary as 1, 11, 111, 1111, 11111, 111111,...
Unary is a bijective numeral system. However, because the value of a digit does not depend on its position, it is not a form of positional notation, and it is unclear whether it would be appropriate to say that it has a base of 1, as it behaves differently from all other bases.
The use of tally marks in counting is an application of the unary numeral system. For example, using the tally mark | , the number 3 is represented as |||. In East Asian cultures, the number 3 is represented as 三, a character drawn with three strokes. In China and Japan, the character 正, drawn with 5 strokes, is sometimes used to represent 5 as a tally.