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Who invented binary system and what gas was invented? What are the short stories behind it?

Binary system was invented by Leibniz. There is a short story behind it:1Boolean algebra proposed by Boolean in the middle of the 9th century; At that time, the industrial revolution was in full swing, various machines appeared constantly, and various mechanical computing machines were invented.

At that time, some computing machines were already learning Boolean algebra, especially some electromagnetic computers appeared at the beginning of the 20th century, and at that time they were already using binary, so in fact, before the birth of ENIAC, that is, before 1946, there was a concrete practice of binary representation, so strictly speaking, von Neumann's contribution to binary representation was not outstanding.

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In the position notation system of radix b (where b is a positive natural number, called radix), the b basic symbols (or numbers) correspond to the smallest b natural numbers including 0. To generate other numbers, you should use the position of the symbol in the number. The symbol of the last bit uses its own value, the value of the left bit is multiplied by b, and the binary data also uses the position counting method, and its bit weight is a power based on 2.