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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 ...
The base-2 numeral system is a positional notation with a radix of 2.Each digit is referred to as a bit, or binary digit.Because of its straightforward implementation in digital electronic circuitry using logic gates, the binary system is used by almost all modern computers and computer-based devices, as a preferred system of use, over various other human techniques of communication, because ...
To construct the binary-reflected Gray code iteratively, at step 0 start with the =, and at step > find the bit position of the least significant 1 in the binary representation of and flip the bit at that position in the previous code to get the next code . The bit positions start 0, 1, 0, 2, 0, 1, 0, 3, ...
The binary prefixes, as defined by IEC 80000-13, are incorporated into ISO 80000-1, including a note that "SI prefixes refer strictly to powers of 10, and should not be used for powers of 2." [135] In ISO 80000-1, the application of the binary prefixes is not limited to computer technology. For example, 1 KiHz = 1024 Hz.
Perhaps the earliest example of a binary storage device was the punched card invented by Basile Bouchon and Jean-Baptiste Falcon (1732), developed by Joseph Marie Jacquard (1804), and later adopted by Semyon Korsakov, Charles Babbage, Herman Hollerith, and early computer manufacturers like IBM. A variant of that idea was the perforated paper ...
George Boole (/ b uː l / BOOL; 2 November 1815 – 8 December 1864) was a largely self-taught English mathematician, philosopher and logician, most of whose short career was spent as the first professor of mathematics at Queen's College, Cork in Ireland.
In computer programming, machine code is computer code consisting of machine language instructions, which are used to control a computer's central processing unit (CPU). For conventional binary computers, machine code is the binary representation of a computer program which is actually read and interpreted by the computer. A program in machine ...
The code book was revised and simplified in 1795 to speed up transmission. The code was in two divisions, the first division was 94 alphabetic and numeric characters plus some commonly used letter combinations. The second division was a code book of 94 pages with 94 entries on each page. A code point was assigned for each number up to 94.