Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In computing, quadruple precision is a binary floating-point computer number format that occupies 16 bytes in computer memory. This 128 bit quadruple precision is designed not only to store physical quantities at a higher precision, but also, as a primary function, to allow the computation of double precision results more reliably and accurately by minimising overflow and round-off errors in intermediate calculations and scratch variables: as William Kahan, primary architect of the original IEEE-754 floating point standard noted, "For now the 10-byte Extended format is a tolerable compromise between the value of extra-precise arithmetic and the price of implementing it to run fast; very soon two more bytes of precision will become tolerable, and ultimately a 16-byte format... That kind of gradual evolution towards wider precision was already in view when IEEE...

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