It is determined that the human immune system synthesizes 10⁸ – 10¹⁰ antibodies. The portion of a typical active in binding antigen consists of two variable domains each containing 100 amino acids. If every variable domain were separately encoded in the genome but could pair promiscuously, then the number of variable domains that needed to be encoded would be of order of magnitude the square root of the total number of antibodies.

1) How many bases would be required to encode separately all the variable domains?

2) Compare this with the size of the human genome.