In this paper, we extend the discrete octonionic analysis by presenting a Weyl calculus-based approach to bounded domains in \({\mathbb {R}}^{8}\) . In particular, we explicitly prove the discrete Stokes formula for a bounded cuboid, and then we generalise this result to arbitrary bounded domains in interior and exterior settings by the help of characteristic functions. After that, discrete interior and exterior Borel-Pompeiu and Cauchy formulae are introduced. Finally, we recall the construction of discrete octonionic Hardy spaces for bounded domains. Moreover, we explicitly explain where the non-associativity of octonionic multiplication is essential and where it is not. Consequently, the results presented in this paper provide tools to address boundary value problems in bounded domains.
