METHODS AND APPARATUS FOR PERFORMING FAST FLOATING POINT OPERATIONS

A format for representing floating point numbers reduces the overhead typically associated with parsing floating point numbers and thereby provides for significantly improved processing speeds, particularly for bit-serial processors. According to an exemplary single-precision embodiment, numbers are represented using a 36-bit data format. Extra bits in the representation according to the invention allow certain conditions, such as overflow/underflow and the zero-ness of a number, to be detected and asserted quickly. Other conditions, such as denormalization are subsumed into normal processing through the extension of an exponent range in the representation.