  We present azimuthally averaged radial profiles of R-band surface brightness
for a complete sample of 47 early-type, unbarred galaxies, as a complement to
our previous study of early-type barred galaxies. Following very careful sky
subtraction, the profiles can typically be determined down to brightness levels
well below 27 mag arcsec^{-2} and in the best cases below 28 mag arcsec^{-2}.
We classified the profiles according to the scheme used previously for the
barred sample: Type I profiles are single unbroken exponential radial declines
in brightness; Type II profiles ("truncations") have an inner shallow slope
(usually exponential) which changes at a well defined break radius to a steeper
exponential; and Type III profiles ("antitruncations") have an inner
exponential that is steeper, giving way to a shallower outer (usually
exponential) decline.
  By combining these profiles with previous studies, we can make the first
clear statements about the trends of outer-disk profile types along the Hubble
sequence (including both barred and unbarred galaxies), and their global
frequencies. We find that Type I profiles are most frequent in early-type
disks, decreasing from one-third of all S0--Sa disks to barely 10% of the
latest type spirals. Conversely, Type II profiles (truncations) increase in
frequency with Hubble type, from only ~25% of S0 galaxies to ~80% of Sd--Sm
spirals. Overall, the fractions of Type I, II, and III profiles for all disk
galaxies (Hubble types S0--Sm) are: 21%, 50%, and 38%, respectively; this
includes galaxies (~8% of the total) with composite Type II+III profiles
(counted twice).
  Finally, we note the presence of bars in ten galaxies previously classified
(optically) as "unbarred". This suggests that ~20% of optically unbarred
galaxies are actually barred; the bars in such cases can be weak, obscured by
dust, or so large as to be mistaken for the main disk
