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  2. Binary number - Wikipedia

    en.wikipedia.org/wiki/Binary_number

    In the binary system, each bit represents an increasing power of 2, with the rightmost bit representing 2 0, the next representing 2 1, then 2 2, and so on. The value of a binary number is the sum of the powers of 2 represented by each "1" bit. For example, the binary number 100101 is converted to decimal form as follows:

  3. Binary code - Wikipedia

    en.wikipedia.org/wiki/Binary_code

    The modern binary number system, the basis for binary code, is an invention by Gottfried Leibniz in 1689 and appears in his article Explication de l'Arithmétique Binaire (English: Explanation of the Binary Arithmetic) which uses only the characters 1 and 0, and some remarks on its usefulness. Leibniz's system uses 0 and 1, like the modern ...

  4. Digital electronics - Wikipedia

    en.wikipedia.org/wiki/Digital_electronics

    The binary number system was refined by Gottfried Wilhelm Leibniz (published in 1705) and he also established that by using the binary system, the principles of arithmetic and logic could be joined. Digital logic as we know it was the brain-child of George Boole in the mid 19th century.

  5. Numeral system - Wikipedia

    en.wikipedia.org/wiki/Numeral_system

    For example, "11" represents the number eleven in the decimal or base-10 numeral system (today, the most common system globally), the number three in the binary or base-2 numeral system (used in modern computers), and the number two in the unary numeral system (used in tallying scores). The number the numeral represents is called its value.

  6. Positional notation - Wikipedia

    en.wikipedia.org/wiki/Positional_notation

    Today, the Hindu–Arabic numeral system is the most commonly used system globally. However, the binary numeral system (base two) is used in almost all computers and electronic devices because it is easier to implement efficiently in electronic circuits. Systems with negative base, complex base or negative digits have been described. Most of ...

  7. Frank Gray (researcher) - Wikipedia

    en.wikipedia.org/wiki/Frank_Gray_(researcher)

    The Gray code, or reflected binary code (RBC), appearing in Gray's 1953 patent, [1] is a binary numeral system often used in electronics, but with many applications in mathematics. Gray conducted pioneering research on the development of television ; he proposed an early form of " flying spot scanner " for early TV systems in 1927, [ 2 ] [ 3 ...

  8. Double dabble - Wikipedia

    en.wikipedia.org/wiki/Double_dabble

    In computer science, the double dabble algorithm is used to convert binary numbers into binary-coded decimal (BCD) notation. [1] [2] It is also known as the shift-and-add-3 algorithm, and can be implemented using a small number of gates in computer hardware, but at the expense of high latency. [3]

  9. History of computer science - Wikipedia

    en.wikipedia.org/wiki/History_of_computer_science

    Gottfried Wilhelm Leibniz (1646–1716) developed logic in a binary number system and has been called the "founder of computer science". [19] In 1702, Gottfried Wilhelm Leibniz developed logic in a formal, mathematical sense with his writings on the binary numeral system.