In my lecture I have examples about 0 -> R (which means if it's 0, move Right) or 0 -> x, R (replace 0 with x and move Right) but I don't quite understand about the 0, 0 -> R expression. What is the configuration of Turing machine btw
Notations vary, but "$0, 1 \rightarrow R$" can be short for "$0 \rightarrow R$ and $1 \rightarrow R$."
A configuration is a way of writing the current state of the TM, the symbols on the tape and the current position of the tape. Here's a common way to write a configuration: if the state is $q_0$, the tape has $101$, and the head is pointing at $0$, write $1q_001$.