Calculator of the binary number system

This online service translates the number from the binary 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 binary system, then specify the notation system to which you want to translate the number and click "Calculate".


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.

Binary notation is a positional number system whose base is equal to two and uses only two characters for writing numbers: usually 0 (zero) and 1 (one). The numbers represented in this system are often called binary or binary numbers.

To write a number in the binary number system, use the representations of this number with the help of powers of 2.

Due to the fact that such a system is easy enough to use in electrical circuits, the binary system is widely used in the world of computing devices.