The binary number system is a numerical representation method that uses only two symbols, commonly 0 and 1. This system, which was studied by scholars such as Thomas Harriot and Gottfried Leibniz in the 16th and 17th centuries, has roots in ancient civilizations like Egypt, China, and India. The binary system plays a crucial role in various arithmetic operations, including addition, subtraction, multiplication, and division. Counting and representation in binary systems involve bit sequences, which can also be subjected to mathematical operations, with distinct methods for multiplication, long division, and square root calculations. The binary system is of paramount importance in the fields of computer science and digital electronics, offering a more straightforward and efficient alternative to decimal arithmetic. It underpins computer programming and is indispensable for medios digitales[1], internet[2] protocols, encryption, cybersecurity, and accurate data storage and manipulation.
A binary number es un number expressed in the base-2 numeral system o binary numeral system, a method of mathematical expression which uses only two symbols: typically "0" (cero) and "1" (one).
The base-2 numeral system is a positional notation with a radix de 2. Each digit is referred to as a bit, or binary digit. Because of its straightforward implementation in digital electronic circuitry utilizando logic gates, the binary system is used by almost all modern computers and computer-based devices, as a preferred system of use, over various other human techniques of communication, because of the simplicity of the language and the noise immunity in physical implementation.
Negative numbers are commonly represented in binary using two's complement.