  We present an X-ray spectral and timing analysis of two $NuSTAR$ observations
of the transient Be X-ray binary SAX J2103.5+4545 during its April 2016
outburst, which was characterized by the highest flux since $NuSTAR$'s launch.
These observations provide detailed hard X-ray spectra of this source during
its bright precursor flare and subsequent fainter regular outburst for the
first time. In this work, we model the phase-averaged spectra for these
observations with a negative and positive power law with an exponential cut-off
(NPEX) model and compare the pulse profiles at different flux states. We found
that the broad-band pulse profile changes from a three peaked pulse in the
first observation to a two peaked pulse in the second observation, and that
each of the pulse peaks has some energy dependence. We also perform pulse-phase
spectroscopy and fit phase-resolved spectra with NPEX to evaluate how spectral
parameters change with pulse phase. We find that while the continuum parameters
are mostly constant with pulse phase, a weak absorption feature at ~12 keV that
might, with further study, be classified as a cyclotron line, does show strong
pulse phase dependence.
