Positional notation

Positional notation refers to certain number systems which use a finite number of symbols called digits, where value is derived by adding together a series of numbers associated with each digit. The value for each digit is determined by multiplying a fixed number associated with that digit with a number determined by the digit's position. The second number is specifically given by raising some fixed number for a given positional system, called a radix, to the number of positions the digit is to the left of the rightmost digit. A positional notation with n as it's radix is said to be base n. Most native numbers are expressed in base 10. Positional notation is the most dense number system, meaning from a finite set of symbols it's the method for arranging said that requires the placing the least symbols in order to represent every countable number below any arbitrary bound. However, it is inefficient for representing very large numbers. Positional notation was the origin system for representing large numbers, but it is ineffective for representing even a googol. Many large numbers are commonly expressed using a combination of positional notation and exponents, such as Skewes Number.