Apple’s headquarters are in Cupertino, Calif. By putting an office in Reno, just 200 miles away, to collect and invest the company’s profits, Apple sidesteps state income taxes on some of those gains.

California’s corporate tax rate is 8.84 percent. Nevada’s? Zero.

Setting up an office in Reno is just one of many legal methods Apple uses to reduce its worldwide tax bill by billions of dollars each year. As it has in Nevada, Apple has created subsidiaries in low-tax places like Ireland, the Netherlands, Luxembourg and the British Virgin Islands — some little more than a letterbox or an anonymous office — that help cut the taxes it pays around the world…

Apple serves as a window on how technology giants have taken advantage of tax codes written for an industrial age and ill suited to today’s digital economy. Some profits at companies like Apple, Google, Amazon, Hewlett-Packard and Microsoft derive not from physical goods but from royalties on intellectual property, like the patents on software that makes devices work. Other times, the products themselves are digital, like downloaded songs. It is much easier for businesses with royalties and digital products to move profits to low-tax countries than it is, say, for grocery stores or automakers. A downloaded application, unlike a car, can be sold from anywhere.