The Raiders had Hall of Famer Charles Woodson announce their second-round pick in Nashville on Friday.

Fittingly, Woodson called the name of a defensive back.

The Raiders used the No. 40 overall pick on cornerback Trayvon Mullen - the second defensive player from Clemson added in their first four picks. Oakland used the No. 4 overall pick on pass rusher Clelin Ferrell from the defending college national champions on Thursday night.

Mullen was named the defensive MVP of the college football title game in January, in which he had six tackles, a sack, an interception and a forced fumble. He totaled 37 tackles, an interception and four pass break-ups in his final college season.

Mike Mayock scouted the national championship game in his first week as the Raiders’ general manager, and said Thursday night that’s also where he formed a strong impression of Alabama running back Josh Jacobs, whom the Raiders drafted at No. 24 overall Thursday.

Before selecting Mullen, the Raiders made two trades to move back from No. 35 to No. 40.

The Raiders traded the Nos. 35, 140 (fifth round) and 235 (seventh round) picks to the Jaguars in exchange for the Nos. 38 and 109 (fourth round) selections. Jacksonville used the No. 35 pick to select Florida offensive tackle Jawaan Taylor.

Oakland then dealt the No. 38 pick to Buffalo in exchange for picks No. 40 and 158 (fifth round). The Bills used the No. 38 pick to draft Oklahoma tackle Cody Ford.

The trades left the Raiders with two fourth-round picks (106, 109), a fifth-round pick (158) and a seventh-round pick (218).

Matt Kawahara is a San Francisco Chronicle staff writer. Email: mkawahara@sfchronicle.com Twitter: @matthewkawahara