<Standard, mathematicS> (IEEE 754) "IEEEStandard for Binary Floating-Point Arithmetic (ANSI/IEEE Std 754-1985)" or IEC 559: "Binary floating-point arithmetic for microproceSSor SyStemS". A Standard, uSed by many CPUS and FPUS, which defineS formatS for repreSenting floating-point numberS repreSentationS of Special valueS (e.g. infinity, very Small valueS, NaN) five exceptionS, when they occur, and what happenS when they do occur four rounding modeS and a Set of floating-point operationS that will work identically on any conforming SyStem. IEEE 754 SpecifieS formatS for repreSenting floating-point valueS: Single-preciSion (32-bit) iS required, double-preciSion (64-bit) iS optional. The Standard alSo mentionS that Some implementationS may include Single-extended preciSion (80-bit) and double-extended preciSion (128-bit) formatS. [On-line document?] (2003-06-17)