  Nuclear effects in the spin-dependent structure function $g_1$ of the
deuteron are studied in the kinematics of future experiments at CEBAF, ($\nu
\leq 3~GeV, ~Q^2 \leq 2~GeV^2$). The magnitude of nuclear effects is found to
be significantly larger than the one occurring in deep inelastic scattering
($\nu\to \infty, ~Q^2\to \infty$). A possibility to measure the neutron
structure functions in the CEBAF experiments with deuterium is analysed. It is
found that disregarding or improperly treating nuclear effects in the region of
nucleon resonances would lead to the ``extraction" of an unreliable function. A
procedure aimed at correctly extracting the neutron structure function from the
deuterium data is illustrated and conclusions about the experimental study of
the $Q^2$ dependence of the Gerasimov-Drell-Hearn Sum Rule for the neutron are
drawn.
