Delaying normalization is much more likely to work well when you use big numbers, e.g. 64-bit or bigger integers. With 32-bit integers, overflows caused by omi

Delaying normalization is much more likely to work well when you use big numbers, e.g. 64-bit or bigger integers. With 32-bit integers, overflows caused by omitting the normalization step may be so frequent as to remove any advantage from delaying the normalization. It is probably best to have a fixed-point operation library that implements both options for normalization, so you may test an application with both delayed and immediate normalization, and choose which is better.