<s>[INST] Your grandmother-in-law gave you a Curiosity Rover Control Box that she found in a thrift store. The control box has an LCD that displays the number of Curiosity Days (sols) since the rover landed on Mars, and currently displays the number “5599” (don‘t know if that is accurate today). With your extensive experience with Mars missions, you tell your grandmother-in-law that this control box may have been used to control the real Curiosity Rover (Note: this is entirely fictional). Considering that this control box could have been used to control the real rover, and considering you have expertise within the field:
Why would the real Curiosity Rover use unsigned 16-bit binary representations to encode the sol number instead of unsigned 32-bit or unsigned 64-bit binary representations?[/INST]