You know what decimal means, right? It's the number system we use 99.9% of the time. Another term for this is base 10. This means that there are 10 digits in the system, 0-9.
Additionally, the base of the system affects the place-value of a digit. For example, the "3" in "532" represents a 30, because it is in the second spot - sometimes known as the tenths place.
The math behind that is for the nth spot in the number, the digit has a value of (number*(base^(n-1))). So, in our example, we're in the 2nd spot (counting from right to left), with a base of 10. Our number is 3, so we have (3*(10^(2-1))) = 3*(10^1) = 30.
In binary ("bi" means two), we only work with two digits, 0 and 1 - so we're in base two. It's also what computers run on. So, for example, 110 in binary is 1*2^2 for the first digit, 1*2^1 for the second, and 0*2^0 for the third. Add it all up and you get 6.
Does that answer your question?
~ @MeepStats