Abstract: An improvement in web converting rewinders of the type which include a perforator cylinder, and a bedroll/chop-off roll combination comprising a set of chop-off blades, some of which chop-off blades are disposed on the bed roll, and some of which are disposed on the chop-off roll; and in which a running web is forwarded from an unwinding parent roll, and is converted into consumer product rolls such as, for example, tear-separable multi-sheet rolls of toilet tissue or paper towels. The improvement comprises parallel-motion chop-off blades which can be more closely spaced than in prior art chop-off blades, and thus induce greater stretching and more positive breaking of the web; and, preferably, the chop-off blades are disposed to act on a longer machine-direction-length of the running web than contemporary rewinders to enable more positively inducing roll endings by breaking along transverse lines of weakening rather than by inducing ragged transverse tears of the web.