It was the era of [Knight Rider](http://www.imdb.com/title/tt0083437/) and [The A-Team](http://www.imdb.com/title/tt0084967/) but I think the show that had the biggest influence on me during my pre-teens was [Whiz Kids](http://www.imdb.com/title/tt0085110/).

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Here's the first part of episode 10, that actually featured a decent amount of actual computer time:

https://www.youtube.com/watch?v=3BKbpusvssM

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It occurs to me that episode 10 may have been the first time ever I heard of the NSA.