DNA for storing data

A team of scientists from the European Bioinformatics Institute have recorded data including Shakespearean sonnets and an MP3 file on strands of DNA, in a breakthrough which could see millions of records stored on a handful of molecules rather than computer drives.
To see if it would work, the researchers converted the 0s and 1s of a computer file into letters that make up genetic code. From there, they took bits of the "I have a dream" speech and Shakespeare's sonnets and encoded them into DNA letters. They even added a picture of their institution, and the end result was a nearly invisible piece of dust in a test tube.
The scientists think that this new approach may be easily capable of swallowing the roughly 3 zettabytes (a zettabyte is one billion trillion or 10²¹ bytes) of digital data thought presently to exist in the world and still have room for plenty more. It would do so with a density of around 2.2 petabytes (10¹⁵) per gram; enough, in other words, to fit all the world’s digital information into the back of a lorry. Moreover, their method dramatically reduces the copying errors to which many previous DNA storage attempts have been prone.
Further reading:
Computer files accuratly stored on DNA
DNA files used to store 
Storing information on DNA