Binary data is grouped together to represent symbols (e. g., text, pixels, etc.). Eight data bits can represent how many different symbols?

Eight data bits can represent  64 symbols.

All the computer system can understand only the binary data system. It consists of only 0 and 1. These binary digits can be grouped together for the representation of symbols. 256 values can be represented by 8 bits, 10 bits represent 1024 values.  

The powers of two is considered as an important thing in this representation.Thus the eight bit of data can represent about 64 symbols. This is calculated by the power of two. The base is eight here. When 8 is multiplied with the power of two we get 64 symbols(8 * 8 =64).