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Zachary i Luka
In mathematics and digital electronics, a binary number is a number expressed in the base-2 numeral system or binary numeral system, which uses only two symbols: typically "0" (zero) and "1" (one).
The binary number system is an alternative to the decimal (10-base) number system that we use every day. Binary numbers are important because using them instead of the decimal system simplifies the design of computers and related technologies.
Find a binary number you want to convert. We'll use this as an example: 101010.
Multiply each binary digit by two to the power of its place number. Remember, binary is read from right to left. The rightmost place number being zero.
Add all the results together. Let's go from right to left. 0 × 20 = 0. 1 × 21 = 2.
History. The modern binary number system was studied in Europe in the 16th and 17th centuries by Thomas Harriot, Juan Caramuel y Lobkowitz, and Gottfried Leibniz. However, systems related to binary numbers have appeared earlier in multiple cultures including ancient Egypt, China, and India.
One of the most famous, and avant-garde, mathematicians of the 17th century, Gottfried Wilhelm Leibniz, invented a binary numeral system and showed that it could be used in a primitive calculating machine.
The modern binary number system, the basis for binary code, was invented by Gottfried Leibniz in 1689 and appears in his article Explication de l'Arithmétique Binaire.
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