Quadruple-precision floating-point format special characteristics: In addition to the double-double arithmetic, it is also possible to generate triple-double or quad-double arithmetic if higher precision is required without any higher precision floating-point library. They are represented as a sum of three (or four) double-precision values respectively. They can represent operations with at least 159/161 and 212/215 bits respectively. A similar technique can be used to produce a double-quad arithmetic, which is represented as a sum of two quadruple-precision values. They can represent operations with at least 226 (or 227) bits. Quadruple precision is often implemented in software by a variety of techniques (such as
War of the Quadruple Alliance unique example during the eighteenth century when Britain and France were on the same side. It came during a period between 1716 and 1731 when the two countries were allies. Spain would later join with France in the Bourbon Compact, and the two would become enemies of the British once more. War of the Quadruple Alliance The War of the Quadruple Alliance (1717–1720) was a result of the ambitions of Bourbon King Philip V of Spain, his wife, Elisabeth Farnese, and his chief minister Giulio Alberoni to retake territories in Italy lost to the Habsburgs in Vienna, and perhaps even