[jejones]

In Binary you'd represent Base 2 as 10, while Base 4 would be 100.
100 is a single order of magnitude larger than 10, FYI...

Sigh. "An order of magnitude" commonly refers to a ratio of ten, not two (unless you're talking about brightness of stars, where they use a ratio of six--don't ask me why.) 100₁₀ is an order of magnitude larger than 10₁₀, but 100₂ is .3 orders of magnitude larger than 10₂, because 4/2 = 2, and log₁₀2 is about 0.30103. (When dealing with different number bases, the convention is to write numbers with the base, in base ten, as a subscript.)

[Southack]

100₁₀ is an order of magnitude larger than 10₁₀, but 100₂ is .3 orders of magnitude larger than 10₂, because 4/2 = 2, and log₁₀2 is about 0.30103.

And what is Log₂ 2?