The　digital　measurement　and　processing　is　an　important　direction　in　the　measurement　and　control　field.　The　quantization　error　widely　existing　in　the　digital　processing　is　always　the　decisive　factor　that　restricts　the　development　and　applications　of　the　digital　technology.　In　this　paper,　we　find　that　the　stability　of　the　digital　quantization　system　is　obviously　better　than　the　quantization　resolution.　The　application　of　a　border　effect　in　the　digital　quantization　can　greatly　improve　the　accuracy　of　digital　processing.　Its　effective　precision　has　nothing　to　do　with　the　number　of　quantization　bits,　which　is　only　related　to　the　stability　of　the　quantization　system.　The　high　precision　measurement　results　obtained　in　the　low　level　quantization　system　with　high　sampling　rate　have　an　important　application　value　for　the　progress　in　the　digital　measurement　and　processing　field.