An engineer has invented a computer that uses a base-5 system for representing numbers. For the sake of representation and quite confusingly she has chosen to use these symbols (in increasing numeric value): 3, G, &, 2, F. Answer the following questions about this representation system.

a) How many values can be represented by a single character in the base-5 system?

b) what is the maximum numeric value that can be represented by two symbols in the base-5 system?

c) Convert G&F235 into its binary equivalent.

d) Convert &&2F35 into its decimal equivalent.

e) Convert 7510 into this base-5 representation.