US Patent 11169778 Converting floating point numbers to reduce the precision

A hardware module comprising at least one of: one or more field programmable gate arrays and one or more application specific integrated circuits configured to: receive a number in floating-point representation at a first precision level, the number comprising an exponent and a first mantissa; apply a first random number to the first mantissa to generate a first carry; truncate the first mantissa to a level specified by a second precision level; add the first carry to the least significant bit of the mantissa truncated to the level specified by the second precision level to form a mantissa for the number in floating-point representation at the second precision level.