A system includes a serial connection mode for obtaining a first approximation to a zero error result by means of a negative rough precision for manufacturing a plurality of first semi-finished products, and a measurement apparatus for measuring a precision value of each first semi-finished product, and a Full-9 Principle for sifting the first semi-finished products. A parallel connection mode is used for obtaining a second approximation to the zero error result by means of a positive rough precision by division to manufacture a plurality of second semi-finished products, and the measurement apparatus is used to measure a precision value of each second semi-finished product, and an error sift formula is utilized to sift the second semi-finished products.