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By Siddharth Koyal
   A bit (a contraction of binary digit) is the basic
    capacity of information in computing and telecommu
    nications; a bit represents either 1 or 0 (one or zero)
    only. The representation may be implemented, in a
    variety of systems, by means of a two state device.
   In computing, a bit can be defined as a variable or
    computed quantity that can have only two
    possible values. These two values are often interpreted
    as binary digits and are usually denoted by
    the numerical digits 0 and 1. The two values can also
    be interpreted as logical
    values (true/false, yes/no), algebraic signs (+/−), activ
    ation states (on/off), or any other two-valued
    attribute. The correspondence between these values
    and the physical states of the
    underlying storage or device is a matter of
    convention, and different assignments may be used
    even within the same device or program. The length of
    a binary number may be referred to as its "bit-length."
   The encoding of data by discrete bits was used in the punched
    cards invented by Basile Bouchon and Jean-Baptiste Falcon (1732),
    developed by Joseph Marie Jacquard (1804), and later adopted
    by Semen Korsakov, Charles Babbage, Hermann Hollerith, and
    early computer manufacturers like IBM. Another variant of that
    idea was the perforated paper tape. In all those systems, the
    medium (card or tape) conceptually carried an array of hole
    positions; each position could be either punched through or not,
    thus carrying one bit of information. The encoding of text by bits
    was also used in Morse code (1844) and early digital
    communications machines such as teletypes and stock ticker
    machines (1870).
   Ralph Hartley suggested the use of a logarithmic measure of
    information in 1928.[3] Claude E. Shannon first used the word bit in
    his seminal 1948 paper A Mathematical Theory of Communication.
    He attributed its origin to John W. Tukey, who had written a Bell
    Labs memo on 9 January 1947 in which he contracted "binary digit"
    to simply "bit". Interestingly, Vannevar Bushhad written in 1936 of
    "bits of information" that could be stored on the punched
    cards used in the mechanical computers of that time.[4] The first
    programmable computer built by Konrad Zuse used binary
    notation for numbers.
 Thebinary numeral system, or base-2
 number system, represents numeric values
 using two symbols: 0 and 1. More
 specifically, the usual base-2system is
 a positional notation with a radix of 2.
 Because of its straightforward
 implementation in digital electronic
 circuitry using logic gates, the binary
 system is used internally by almost all
 modern computers.
 The  Indian scholar Pingala (around 5th–
  2nd centuries BC) developed mathematical
  concepts for describing prosody, and in
  doing so presented the first known
  description of a binary numeral
  system.[1][2] He used binary numbers in the
  form of short and long syllables (the latter
  equal in length to two short syllables),
  making it similar to Morse code.[3][4]
 Pingala's Hindu classic
  titled Chandaḥśāstra (8.23) describes the
  formation of a matrix in order to give a
  unique value to each meter.
   In 1605 Francis Bacon discussed a system whereby letters of the
    alphabet could be reduced to sequences of binary digits, which
    could then be encoded as scarcely visible variations in the font
    in any random text.[8] Importantly for the general theory of
    binary encoding, he added that this method could be used with
    any objects at all: "provided those objects be capable of a
    twofold difference only; as by Bells, by Trumpets, by Lights and
    Torches, by the report of Muskets, and any instruments of like
    nature".[8]
   The modern binary number system was studied by Gottfried
    Leibniz in 1679. See his article:Explication de l'Arithmétique
    Binaire[9](1703). Leibniz's system uses 0 and 1, like the modern
    binary numeral system. As a Sinophile, Leibniz was aware of
    the I Ching and noted with fascination how its hexagrams
    correspond to the binary numbers from 0 to 111111, and
    concluded that this mapping was evidence of major Chinese
    accomplishments in the sort of philosophical mathematics he
    admired.[10]
 The I Ching book consists of 64 hexagrams.[1] [2]
 A hexagram is a figure composed of six stacked
  horizontal lines (爻 yáo), where each line is
  either Yang (an unbroken, or solid
  line), or Yin (broken, an open line with a gap in
  the center). The hexagram lines are
  traditionally counted from the bottom up, so
  the lowest line is considered line 1 while the top
  line is line 6. Hexagrams are formed by
  combining the original eight trigrams in
  different combinations. Each hexagram is
  accompanied with a description, often
  cryptic, akin to parables. Each line in every
  hexagram is also given a similar description
Binary digits By Siddharth Koyal
Binary digits By Siddharth Koyal
Binary digits By Siddharth Koyal

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Binary digits By Siddharth Koyal

  • 2. A bit (a contraction of binary digit) is the basic capacity of information in computing and telecommu nications; a bit represents either 1 or 0 (one or zero) only. The representation may be implemented, in a variety of systems, by means of a two state device.  In computing, a bit can be defined as a variable or computed quantity that can have only two possible values. These two values are often interpreted as binary digits and are usually denoted by the numerical digits 0 and 1. The two values can also be interpreted as logical values (true/false, yes/no), algebraic signs (+/−), activ ation states (on/off), or any other two-valued attribute. The correspondence between these values and the physical states of the underlying storage or device is a matter of convention, and different assignments may be used even within the same device or program. The length of a binary number may be referred to as its "bit-length."
  • 3. The encoding of data by discrete bits was used in the punched cards invented by Basile Bouchon and Jean-Baptiste Falcon (1732), developed by Joseph Marie Jacquard (1804), and later adopted by Semen Korsakov, Charles Babbage, Hermann Hollerith, and early computer manufacturers like IBM. Another variant of that idea was the perforated paper tape. In all those systems, the medium (card or tape) conceptually carried an array of hole positions; each position could be either punched through or not, thus carrying one bit of information. The encoding of text by bits was also used in Morse code (1844) and early digital communications machines such as teletypes and stock ticker machines (1870).  Ralph Hartley suggested the use of a logarithmic measure of information in 1928.[3] Claude E. Shannon first used the word bit in his seminal 1948 paper A Mathematical Theory of Communication. He attributed its origin to John W. Tukey, who had written a Bell Labs memo on 9 January 1947 in which he contracted "binary digit" to simply "bit". Interestingly, Vannevar Bushhad written in 1936 of "bits of information" that could be stored on the punched cards used in the mechanical computers of that time.[4] The first programmable computer built by Konrad Zuse used binary notation for numbers.
  • 4.  Thebinary numeral system, or base-2 number system, represents numeric values using two symbols: 0 and 1. More specifically, the usual base-2system is a positional notation with a radix of 2. Because of its straightforward implementation in digital electronic circuitry using logic gates, the binary system is used internally by almost all modern computers.
  • 5.  The Indian scholar Pingala (around 5th– 2nd centuries BC) developed mathematical concepts for describing prosody, and in doing so presented the first known description of a binary numeral system.[1][2] He used binary numbers in the form of short and long syllables (the latter equal in length to two short syllables), making it similar to Morse code.[3][4]  Pingala's Hindu classic titled Chandaḥśāstra (8.23) describes the formation of a matrix in order to give a unique value to each meter.
  • 6. In 1605 Francis Bacon discussed a system whereby letters of the alphabet could be reduced to sequences of binary digits, which could then be encoded as scarcely visible variations in the font in any random text.[8] Importantly for the general theory of binary encoding, he added that this method could be used with any objects at all: "provided those objects be capable of a twofold difference only; as by Bells, by Trumpets, by Lights and Torches, by the report of Muskets, and any instruments of like nature".[8]  The modern binary number system was studied by Gottfried Leibniz in 1679. See his article:Explication de l'Arithmétique Binaire[9](1703). Leibniz's system uses 0 and 1, like the modern binary numeral system. As a Sinophile, Leibniz was aware of the I Ching and noted with fascination how its hexagrams correspond to the binary numbers from 0 to 111111, and concluded that this mapping was evidence of major Chinese accomplishments in the sort of philosophical mathematics he admired.[10]
  • 7.  The I Ching book consists of 64 hexagrams.[1] [2]  A hexagram is a figure composed of six stacked horizontal lines (爻 yáo), where each line is either Yang (an unbroken, or solid line), or Yin (broken, an open line with a gap in the center). The hexagram lines are traditionally counted from the bottom up, so the lowest line is considered line 1 while the top line is line 6. Hexagrams are formed by combining the original eight trigrams in different combinations. Each hexagram is accompanied with a description, often cryptic, akin to parables. Each line in every hexagram is also given a similar description