Floating-point arithmetic
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In computing, floating-point arithmetic is arithmetic on subsets of real numbers formed by a significand multiplied by an integer power of that base. Numbers of this form are called floating-point num
An early electromechanical programmable computer, the Z3, included floating-point arithmetic (replica on display at Deutsches Museum in Munich).
Leonardo Torres Quevedo, in 1914, published an analysis of floating point based on the analytical engine.
Konrad Zuse, architect of the Z3 computer, which uses a 22-bit binary floating-point representation
William Kahan, principal architect of the IEEE 754 floating-point standard
Binary number
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A binary number is a number expressed in the base-2 numeral system or binary numeral system, a method for representing numbers that uses only two symbols for the natural numbers: typically 0 and 1. A
Floating-point arithmetic
…is 12.346. And 1/3 = 0.3333… is not a floating-point number in base ten with any finite number of digits. In practice, most floating-point systems use base two, though base ten (decimal floating point) is also common. Floating-point arithmetic operations, such as addition and division, approximate the corresponding…
Gottfried Leibniz
George Boole