So, as a level N nerd, you can convert miles to kilometers by rounding to a nearby fibonacci number, and then finding the NEXT fibonacci number (and maybe fudging a bit in the direction of rounding).
Then, as a Level N+1 Nerd, you can realize that the Fibonacci Base exists, in which any integer can be represented as a collection of distinct fibonacci numbers. (for example, 43 = 34 + 8 + 1, or, using a binary string to show which Fibs are involved, 42 = 10010001.) The conversion of miles to kilometers is then just a bit-shift operation.
Well, almost, anyway.