McCown started four games as a rookie last season after Jeff Garcia and Kelly Holcomb got hurt.
In five games, McCown completed 48 of 98 passes for 608 yards with four
touchdowns and seven interceptions.
McCown went 0-4 in his four starts for the Browns, who lost nine of
their last 10 games.
The additional pick gives the Browns eight selections in this year's
draft.
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