Brendan was enquiring about a bike route from the Ottawa Youth Hostel to the intersection of Rochester and Poplar Streets. Here’s what I came up with.
The Ottawa Youth Hostel is pretty fantastic. It lives in the 150+ year old Carleton County gaol right downtown. Unfortunately it is located on an island with all forms of speeding vehicles circling around it including transport trucks.

So, first challenge is how to ingress/egress from this hive of aggressive traffic. After exploring all options, I decided to take the set of stairs up to the Mackenzie St Bridge, located right beside the hostel parking (hélas, this route doesn’t work so well for those with trailers or loaded panniers).

Having carried my bike up the flight of stairs, I headed west over the bridge along the sidewalk to the signalized crosswalk. There are bike lanes along the Mackenzie King bridge but they hug the centre meridian. Half way across the signalized crossing one may choose to get on the bike lane heading west, as suggested by the orange line on the above map, but the lane disappears once arrived at Elgin, a busy 6 lane street with speedy traffic and no bike lanes – enough to discourage many an intrepid pedalist.

A safer option I followed was to walk across the aforementioned signalized crossing (back to the blue line on the above map), and continue west along the sidewalk on the other side towards the stairs that go down to Confederation park.

Once arrived at the bottom of the stairs, I rode diagonally through the park to the corner of Laurier and Elgin.

The wonderful segregated Laurier Bike Lane begins on the west side of Elgin.

I followed Laurier to the end where it veers south and becomes quiet Cambridge St. I then turned west on Primrose, and south on Arthur along which there is a traffic light to get across busy Somerset St.
South of Somerset is a web of one-way and two-way streets that require a bit of navigating to arrive at the intersection of Poplar & Rochester, as per the above map.

Heading back downtown I followed the same route, apart from the few deviations in purple. The short stretches of Rochester, Booth and Somerset on the way back can get pretty busy especially around rush hour, so walking these may be preferable.
Et voila!
If only there were tracks on the side of the stairs to help carry bikes up and down, this route would be even better!
That’s a fine suggestion! There are many successful examples to draw upon, as hi-lited in the following tour of bike ramps around town: https://ottawavelooutaouais.wordpress.com/2013/05/23/bike-ramp-tour/