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The binary numeral system is a system of numerical representation that is based solely on two distinct digits: 0 and 1 These two digits are known as bits, and the binary numeral system is most commonly associated with computers, which use them to represent information. In this way, computers are able to store data, make calculations and logically complete tasks. The binary numeral system is also known as base-2, to distinguish it from other systems of numerical representation that are based on a higher number of digits. Binary is a good choice for computers because it makes calculations easier, which in turn makes them faster. A single bit can store only one of the two possible numerical values: 0 or 1. This limitation allows computers to store information in a more efficient way, which in turn allows them to process large amounts of data quickly. The binary numeral system is used in a variety of applications, from computer memory and storage to data transmission and electrical circuits. Here are five examples of how the binary numeral system is used in the real world: 1. Computer Memory and Storage: Binary is used in computer memory and storage to store information in 0s and 1s. This allows computers to store large amounts of data in a relatively small amount of space. 2. Data Transmission: Binary is used in data transmission to send and receive digital signals. In this way, computers are able to transfer data between two or more devices quickly and reliably. 3. Electrical Circuits: Binary is used in wiring and circuitry to control the flow of electricity. It allows computers to detect and respond to electrical signals, which are used to turn on and off various devices. 4. Software Engineering: Binary is used in software engineering to enable the development of sophisticated programs. It allows programmers to write code to control the behavior of a computer, which is essential in creating complex software systems. 5. Robotics: Binary is used in robotics to control the movement and operation of robots. It allows robots to interact with their environment and complete tasks, which makes them very useful in a variety of applications. The binary numeral system has been used for decades and has proven to be a reliable and efficient way for computers to store, transmit, and process information. It is used in a variety of applications, from memory and storage to electronics and robotics, and it is likely to remain a key part of computing for years to come.