Gottfried Leibniz The modern binary number system, the basis for binary code, cum se utilizează binarul invented by Gottfried Leibniz in and appears in his article Explication de l'Arithmétique Binaire. The full title is translated into English as the "Explanation of the binary arithmetic", which uses only the characters 1 and 0, with some remarks on its usefulness, and on the light it throws on the ancient Chinese figures of Fu Xi.
Leibniz's system uses 0 and 1, like the modern binary numeral system.
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Leibniz encountered the I Ching through French Jesuit Joachim Bouvet and noted with fascination how its hexagrams correspond to the binary numbers from 0 toand concluded that this mapping was evidence of major Chinese accomplishments in the sort of philosophical visual binary mathematics he admired. He believed that binary numbers were symbolic of the Christian idea of creatio ex nihilo or creation out of nothing.
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The book had confirmed his theory that life could be simplified or reduced down to a series of straightforward propositions. He created a system consisting of rows of zeros and ones. During this time period, Leibniz had not yet found a use for this system. The ordering is also the lexicographical order on sextuples of elements chosen from a two-element set.
Shannon wrote his thesis inwhich implemented his findings. Shannon's thesis became a starting point for the use of the binary code in practical applications such as computers, electric circuits, and more.
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March Learn how and when to remove this template message Daoist Bagua The bit string is not the only type of binary code: in fact, a binary system in general, is any system that allows only two choices such aplicația infiniti oferă bani a switch in an electronic system or a simple true or false test.
Braille[ edit ] Braille is a type of binary code that is widely used by the blind to read and write by touch, named for its creator, Louis Braille.
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This system consists of grids of six dots each, three per column, in which each dot has two states: raised or not raised. The different combinations of raised and flattened dots are capable of representing all letters, numbers, and punctuation signs. Bagua [ edit ] The bagua are diagrams used in feng shuiTaoist cosmology and I Ching studies.
The ba gua consists cum se utilizează binarul 8 trigrams; bā meaning 8 and guà meaning divination figure. The same word is used for the 64 guà hexagrams.
Each figure combines three lines yáo that are either broken yin or unbroken yang. The relationships between the trigrams are represented in two arrangements, the primordial, "Earlier Heaven" or "Fuxi" bagua, and the manifested, "Later Heaven,"or "King Wen" bagua.
Each letter or symbol is assigned a number from 0 to For example, lowercase "a" is represented by as a bit string which is "97" in decimal.
Binary-coded decimal[ edit ] Binary-coded decimal BCD is a binary encoded representation of integer values that uses a 4-bit nibble to encode decimal digits. Four binary bits can encode up to 16 distinct values; but, in BCD-encoded numbers, only ten values in each nibble are legal, and encode the decimal digits zero, through nine.
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The remaining six values are illegal and may cause either a machine exception or unspecified behavior, depending on the computer implementation of BCD arithmetic. BCD arithmetic is sometimes preferred to floating-point numeric formats in commercial and financial applications where the complex rounding behaviors of floating-point numbers is inappropriate.