kahendsüsteem

Kahendsüsteem, also known as binary system, is a numeral system that uses only two digits: 0 and 1. It is the foundation of digital computing and electronic systems. In the binary system, each digit, or bit, represents a power of two, starting from the rightmost bit which represents 2^0 (or 1). The value of each subsequent bit to the left is double the value of the previous one.

The binary system is used because it directly corresponds to the two stable states of electronic circuits: on (1) and off (0). This makes it ideal for representing and processing information in computers. Binary numbers are used to encode all types of data, including text, images, and sound.

Conversion between binary and decimal (base-10) systems is straightforward. To convert a binary number to decimal, each bit is multiplied by its corresponding power of two, and the results are summed. For example, the binary number 1011 is converted to decimal as follows: 1*2^3 + 0*2^2 + 1*2^1 + 1*2^0 = 8 + 0 + 2 + 1 = 11.

The binary system is also used in other fields, such as telecommunications and data storage, due to its simplicity and efficiency. Understanding the binary system is crucial for anyone working in the field of computer science or related disciplines.