Davidson robbed a hesitant Chris Hogg but shot wide before MacKay's effort was deflected over the Hibs crossbar.
Headed goals from debutant Chris Hogg and Rooney put Inverness further ahead.
Substitute Merouane Zemmama's free-kick was deflected wide of the Motherwell goal and, from the resulting corner, Chris Hogg's header was claimed by Ruddy.
Novo - who replaced Steven Naismith - nearly won a penalty when his cross appeared to strike the hand of Chris Hogg, but Hibs escaped.
BBC: SPORT | Football | Scottish Cups | Rangers 1-0 Hibernian
Hibs went back on the offensive and Jones hit the post from Chris Hogg's cross with Bamba inches away from latching on to the rebound.
Andrew Driver took on Chris Hogg on the edge of the box and fired in a powerful drive that Ma-Kalambay turned away for a corner at his near post.
Although Sol Bamba moved into midfield to make way for returning centre-half Chris Hogg, a first starting place for former Gretna playmaker Fabian Yantorno meant it was a particularly attack-minded Hibs line-up.
Having gone ahead, Celtic were content to hit on the break and Miller raced through on goal only for Chris Hogg to make a great sliding challenge to deny the Scotland striker.
BBC: SPORT | Football | Scottish Premier | Celtic 1-0 Hibernian
Aberdeen were seldom seen as an attacking force in the first half but took the lead when Scott Vernon raced away from Hibs skipper Chris Hogg to set up Yoann Folly for a tap-in.
Lukasz Zaluska returned to Celtic goal after Artur Boruc was left out due to a family bereavement, while John Hughes dropped Lewis Stevenson to the bench and Chris Hogg was left out altogether as Anthony Stokes and Darren McCormack came in.
After Rangers' Madjid Bougherra had been booked early on for a late lunge on Ian Murray, Chris Hogg's mistake allowed Pedro Mendes to put Kris Boyd through on goal but Hibs captain Rob Jones got back to make a vital saving tackle.
Ben Cairns, Chris Paterson, Allister Hogg, Alan MacDonald, Andrew Turnbull and Roddy Grant tries helped Edinburgh to their biggest Magners League win.
Tries came through Ally Hogg, debutant Rob Dewey and skipper Chris Paterson who also kicked nine points.
Chris Paterson scored the opening try on 70 seconds, with three more coming from Ally Hogg and two by Rory Lamont.
应用推荐