The Binary Omnius is the 1st type of omnius in the chain. They completly dwarf the Gems of Toxicity in size. The second factor in the size is explained here:
You start off with 1. Multiply it by 10, and add 2. Multiply that by 10, and add 3. Multiply that by 10, and add 4. Go on until you reach adding a googol. That's the second factor in size.
Each of these verses have a core, which takes energy to hold the entire thing, and executes code to keep the things stable. They also store a centimeter-sized jail for extremely dangerous entities. Whenever an entity is sent to one of these jails, a request is sent to a Core of Everything in order to make the captured entity powerless and the size of a point. These cores have code, a code converter, and an LDI to do that.