It's been done. [0][1] But the fact that BitNet [2] is possible calls into question the need for it. NNs are surprisingly robust to a wide array of distortions. [3]

[0] https://arxiv.org/abs/1603.01025

[1] https://par.nsf.gov/servlets/purl/10163070

[2] https://arxiv.org/abs/2310.11453

[3] https://arxiv.org/abs/1606.01981