# Binary System

The binary number system has its origin in ancient times. In the 3rd century BC, the Hindu mathematician Pingala first described a binary number system very similar to the current one.

In China, the philosopher Shao Yong, in the 11th century, developed hexagrams that represented the numbers from 0 to 63 using a vertical line and a fractional horizontal line.

In 1605, Francis Bacon devised a system by which the letters of the alphabet could be replaced by binary digits to encrypt messages. Some years later, in 1670, Juan Caramuel published his book Mathesis Biceps in which he described the binary system. Although the mathematics behind the binary system was developed by the mathematician Leinniz using 0 and 1 as in the current system.

In 1854, the mathematician George Boole published an article in which he discussed the logic behind the binary system that would later be the basis for the development of electrical circuits.

Example: the binary system uses two symbols, 0 and 1. All numbers can be written as a combination of these two symbols. It is about dividing the number by two and writing down the rest of said division.

### Activities

1. Write these numbers in decimal system.

• 001
• 101
• 111
• 1010

2. Write these numbers in binary system.

• 12
• 137
• 450
• 1983

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