So... How much gold is there on them plated computer pins??


 

This question is impossible to answer defintly.
One can only make estimations and educated guess, unless the apropiate spec sheets are available.
With that said, assuming you have a homogenues pile of  gold plated pins (meaning same type and size of pins), you could take measurements of surface area and calculate.

Current Gold, Silver and Platinum spot prices:
[Most Recent Quotes from www.kitco.com]