# Calculator of the decimal number system

This online service translates the number from the decimal notation system to any other. The number can be any non-negative. The base of the notation system for the translation from 2 to 36 inclusive.

In the form of a calculator, enter a number in the decimal system, then specify the notation system to which you want to translate the number and click "Calculate".

## Calculator

A notation system, or numbering, is a set of rules and signs that can be used to map (encode) any non-negative number. There are certain requirements on the number systems, among which the most important are the requirements for unambiguous coding of nonnegative numbers 0, 1,... from some finite set of the range P in a finite number of steps and the ability to perform numerically arithmetic and logical operations. In addition, the number system solves the numbering problem, that is, an effective transition from digits to numbers, which in this case must have a minimum number of digits. From the successful or unsuccessful choice of the number system depends the effectiveness of solving these problems and its use in practice.

The decimal number system is a positional number system with a base 10. Each number is written with 10 symbols, digits - 0, 1, 2, 3, 4, 5, 6, 7, 8, 9. The number is formed by a common Principle: on the n-th position (from the right to the left of 0) is a figure corresponding to the number of n-th powers of tens, including.

One of the most common systems. It is assumed that the base 10 is associated with the number of fingers in a person.