[tmaly]

Basic boolean logic.

There is also a nice board game called Robot Turtles that helps.

[theoh]

Understanding base-2 numbers (and other bases) is another good idea, though it's more suitable for a ten year old.

Game: represent numbers using progressively more exotic representations:

Base 10 Base 5 Base 2 Unary

Then

Fibonacci base (http://www.maths.surrey.ac.uk/hosted-sites/R.Knott/Fibonacci... )

Then

Invent a place-value system using product of primes (inspired by fundamental theorem of arithmetic)

Etc. This is a very "digital" set of exercises and it's very focused on counting. Logic will take care of itself.