Abstract
We noticed that the first family of fermions and the Higgs boson have masses which are equal to integer powers of 2 in $eV/c^2$ units (i.e. in the Planck length units). We made the hypothesis that, if spacetime is composed of small hypercubes of one Planck length edge, it exists elementary wavefunctions which are equal to $\sqrt{2} \exp (ikx_i)$ if it corresponds to a space dimension or equal to $\sqrt{2} \exp (i \omega t)$ if it corresponds to a time dimension. By using the Dirac propagation equation and combinatorics we showed that the electron has a mass of $2^{19}eV/c^2$, the quark has a mass of $2^{21}eV/c^2$ and the electron neutrino has a mass of $2eV/c^2$. Finally, the Higgs boson is showed to have a mass of $2^{37}eV/c^2$.