Unarydecimal

unarydecimal is a conceptual number system that represents numbers using only a single digit, typically one, repeated a certain number of times. In this system, a number N is represented by N repetitions of the digit '1'. For example, the number 3 would be written as '111'. The value of the number is determined by the count of the '1' digits. This is in contrast to standard positional numeral systems, like the decimal system, where the position of a digit determines its value.

Unarydecimal is the simplest possible number system. It is sometimes used as a pedagogical tool to introduce the concept of number representation and counting, as it is intuitively straightforward. While not practical for complex calculations or large numbers due to its extreme inefficiency, it serves as a foundational example of how quantities can be encoded symbolically. The absence of place value makes it unique among numeral systems. Unlike systems that use multiple digits and rules for their placement, unarydecimal relies solely on repetition.