unary numeral system

For a sort of variation on writing numbers in the unary numeral system, see Tally mark.

Tally marks, or hash marks, are a unary numeral system.

The unary numeral system is the bijective base-1 numeral system.

Base one (unary numeral system)

The simplest numeral system is the unary numeral system, in which every natural number is represented by a corresponding number of symbols.

The name "unary" comes from the fact that a unary language is the encoding of a set of natural numbers in the unary numeral system.

Tally marks appear prominently in unary numeral system arithmetic used in Turing machine and Post-Turing machine computations.

The original emulation of a Turing machine contained an exponential time overhead due to the encoding of the Turing machine's tape using a unary numeral system.

The number of tally marks required in the unary numeral system for describing the weight would have been w. In the positional system, the number of digits required to describe it is only ', for k 0.

By encoding information about the number into the order of the numerals, subtractive notation transformed the Roman numeral system from a variation of a unary numeral system which used alphabetic characters to represent groupings of tally marks (a position-independent counting system).