Almost exactly like the decimal system, but the base is the number 2, instead of the number 10. This refers to the place-value system: in decimal, each digit has a place-value that is 10 times as much as the digit on the right; in binary, the factor is 2. It is helpful if you understand the place-value system in decimal first.
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A.N.D. Leibniz defined the binary number system.
A binary system is a special type of a number system. The binary system uses only two digits, other number systems use more.
There are two digits in the binary number system. 0 and 1
There is no decimal number for the binary number 13 because 13 cannot be a binary number.
Binary systems appear in many ancient cultures. The earliest is believed to be the I Ching, a Chinese philosophical text that dates back to the 9th century BC. Other early examples of binary systems include the Mangarevan invention of binary steps for arithmetic, Shao Yang's binary arrangement of hexagrams, and Pingala's work on prosody. The modern binary number system was studied by Gottfried Leibniz in 1679. Leibniz published a work in 1703 that describes the binary system of the Chinese and his own system of binary numbers. Leibniz attributed the invention of binary system to Fuxi.