Data Encoding on a CD

The final part of how data is actually written to the CD is very interesting. After all 98 frames are composed for a sector (whether audio or data), the information is then run through a final encoding process called EFM (eight to fourteen modulation). This scheme takes each byte (8 bits) and converts it into a 14-bit value for storage. The 14-bit conversion codes are designed so that there are never fewer than 2 or more than 10 adjacent 0 bits. This is a form of Run Length Limited (RLL) encoding called RLL 2,10 (RLL x, y where x = the minimum and y = the maximum run of 0s). This is designed to prevent long strings of 0s, which could more easily be misread, as well as to limit the minimum and maximum frequency of transitions actually placed on the recording media. With as few as 2 or as many as 10 0 bits separating 1 bits in the recording, the minimum distance between 1s is 3 bit time intervals (usually referred to as 3T) and the maximum spacing between 1s is 11 time intervals (11T).

Because some of the EFM codes start and end with a 1 or more than five 0s, three additional bits called merge bits are added between each 14-bit EFM value written to the disc. The merge bits usually are 0s but might contain a 1 if necessary to break a long string of adjacent 0s formed by the adjacent 14-bit EFM values. In addition to the now 17-bits created for each byte (EFM plus merge bits), a 24-bit sync word (plus 3 more merge bits) is added to the beginning of each frame. This results in a total of 588 bits (73.5 bytes) actually being stored on the disc for each frame. Multiply this for 98 frames per sector and you have 7,203 bytes actually being stored on the disc to represent each sector. A 74-minute disc, therefore, really has something like 2.4GB of actual data being written, which after being fully decoded and stripped of error correcting codes and other information, results in about 682MB (650MiB) of actual user data.

The calculations for EFM-encoded frames and sectors are shown below

To put this into perspective, see the table below for an example of how familiar data would actually be encoded when written to a CD. As an example, I'll use the letters "N" and "O" as they would be written on the disk.